Edit Profile Demkowicz, Leszek F. Compute Distance To: Compute Author ID: demkowicz.leszek-f Published as: Demkowicz, L.; Demkowicz, L. F.; Demkowicz, Leszek; Demkowicz, Leszek F. Homepage: http://users.ices.utexas.edu/~leszek/ External Links: MGP · Wikidata · ORCID · dblp Documents Indexed: 174 Publications since 1982, including 11 Books all top 5 Co-Authors 14 single-authored 28 Oden, John Tinsley 16 Rachowicz, Waldemar 15 Pardo, David 14 Gopalakrishnan, Jay 8 Gopalakrishnan, Jayadeep 8 Torres-Verdín, Carlos 7 Keith, Brendan 7 Kurtz, Jason 7 Paszyński, Maciej 6 Fuentes, Federico 6 Reddy, Junuthula Narasimha 6 Vardapetyan, L. G. 5 Qiu, Weifeng 4 Bui-Thanh, Tan 4 Carstensen, Carsten 4 Chan, Jesse 4 Costabel, Martin 3 Ainsworth, Mark 3 Babuška, Ivo 3 Bajer, Anetta M. 3 Boffi, Daniele 3 Cecot, Witold 3 Dauge, Monique 3 García-Castillo, Luis-Emilio 3 Gatto, Paolo 3 Gerdes, Klaus 3 Heuer, Norbert 3 Ihlenburg, Frank 3 Matuszyk, Paweł Jerzy 3 Michler, Christian 3 Monk, Peter B. 3 Mora, Jaime 3 Nagaraj, Sriram 3 Petrides, Socratis 3 Schöberl, Joachim 3 Vaziri Astaneh, Ali 2 Banaś, Krzysztof 2 Bramwell, Jamie A. 2 Calo, Victor Manuel 2 Chang, Yung-Chao 2 Devloo, Philippe Remy Bernard 2 Ellis, Truman E. 2 Ghattas, Omar N. 2 Guo, Benqi 2 Hardy, O. 2 Jhurani, Chetan 2 Karafiat, Andrzej 2 Moser, Robert D. 2 Muga, Ignacio 2 Niemi, Antti H. 2 Prudhomme, Serge 2 Roberts, Nathan V. 2 Schwab, Christoph 2 Šolín, Pavel 2 Vogelius, Michael S. 2 Westermann, T. A. 2 Zitelli, J. 1 Bajaj, Chanderjit L. 1 Bass, Jon M. 1 Becker, Eric B. 1 Bertrand, Fleurianne 1 Biduat, L. 1 Bleszynski, Elizabeth H. 1 Bleszynski, Marek Ch. 1 Bochev, Pavel B. 1 Brenner, Susanne Cecelia 1 Browne, James C. 1 Buffa, Annalisa 1 Cao, Wenying 1 Champlin, C. 1 Chang, Yangchun 1 Diller, Kenneth R. 1 Düster, Alexander 1 Edwards, Michael G. 1 Elliott, Alan C. 1 Falk, Rick 1 Feng, Yusheng 1 Fuentes, David 1 Geng, Peilun 1 Gerritsma, Marc I. 1 Gómez-Revuelto, Ignacio 1 Gunzburger, Max D. 1 Hamilton, Mark C. K. 1 Hazle, J. 1 Hiptmair, Ralf 1 Joplin, A. 1 Kim, Changwan 1 Kuczma, Mieczysław S. 1 Le Tallec, Patrick 1 Li, Jichun 1 Lin, Ting-li 1 Liszka, Tadeusz 1 Mróz, Zenon 1 Neikirk, D. 1 Osborn, John E. 1 Pal, Mihaela 1 Pamin, Jerzy 1 Papadopoulos, Panayiotis 1 Pasciak, Joseph E. 1 Rank, Ernst ...and 22 more Co-Authors all top 5 Serials 62 Computer Methods in Applied Mechanics and Engineering 20 Computers & Mathematics with Applications 13 SIAM Journal on Numerical Analysis 7 International Journal for Numerical Methods in Engineering 5 Journal of Computational Physics 5 Mathematics of Computation 4 Computational Methods in Applied Mathematics 3 Numerische Mathematik 3 Computational Mechanics 3 Numerical Methods for Partial Differential Equations 2 International Journal of Engineering Science 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Scientific Computing 1 Applicable Analysis 1 Archives of Mechanics 1 Computers and Fluids 1 Mechanika Teoretyczna i Stosowana 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematische Nachrichten 1 Applied Numerical Mathematics 1 Communications in Applied Numerical Methods 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal of Parallel and Distributed Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Archives of Computational Methods in Engineering 1 International Journal of Numerical Analysis and Modeling 1 Journal of Computational Acoustics 1 Oberwolfach Reports 1 Nonlinear Analysis. Theory, Methods & Applications 1 Textbooks in Mathematics all top 5 Fields 109 Numerical analysis (65-XX) 48 Mechanics of deformable solids (74-XX) 46 Fluid mechanics (76-XX) 45 Partial differential equations (35-XX) 44 Optics, electromagnetic theory (78-XX) 12 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 7 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 1 Number theory (11-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 152 Publications have been cited 2,777 times in 1,304 Documents Cited by ▼ Year ▼ Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure. Zbl 0723.73074Demkowicz, L.; Oden, J. T.; Rachowicz, W.; Hardy, O. 143 1989 Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation. Zbl 0723.73075Oden, J. T.; Demkowicz, L.; Rachowicz, W.; Westermann, T. A. 130 1989 Computing with \(hp\)-adaptive finite elements. Vol. II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications. Zbl 1148.65001Demkowicz, Leszek F.; Kurtz, Jason; Pardo, David; Paszyński, Maciej; Rachowicz, Waldemar; Zdunek, Adam 97 2008 A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164Demkowicz, L.; Gopalakrishnan, J. 85 2011 Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes. Zbl 0723.73076Rachowicz, W.; Oden, J. T.; Demkowicz, L. 79 1989 A class of discontinuous Petrov-Galerkin methods. I: The transport equation. Zbl 1231.76142Demkowicz, L.; Gopalakrishnan, J. 77 2010 Computing with \(hp\)-adaptive finite elements. Vol. 1: One- and two-dimensional elliptic and Maxwell problems. With CD-ROM. Zbl 1111.65103Demkowicz, Leszek F. 69 2007 Analysis of the DPG method for the Poisson equation. Zbl 1237.65122Demkowicz, L.; Gopalakrishnan, J. 60 2011 A fully automatic \(hp\)-adaptivity. Zbl 0999.65121Demkowicz, L.; Rachowicz, W.; Devloo, Ph. 60 2002 Solution of 3D-Laplace and Helmholtz equations in exterior domains using \(hp\)-infinite elements. Zbl 0881.73126Gerdes, K.; Demkowicz, L. 56 1996 A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D. Zbl 1316.76054Zitelli, J.; Muga, I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo, D.; Calo, V. M. 53 2011 Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements. Zbl 0994.78011Demkowicz, L.; Vardapetyan, L. 48 1998 de Rham diagram for \(hp\) finite element spaces. Zbl 0955.65084Demkowicz, L.; Monk, P.; Vardapetyan, L.; Rachowicz, W. 47 2000 On an h-type mesh-refinement strategy based on minimization of interpolation errors. Zbl 0556.73081Demkowicz, L.; Devloo, Ph.; Oden, J. T. 44 1985 Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J. 41 2016 Robust DPG method for convection-dominated diffusion problems. Zbl 1290.65088Demkowicz, Leszek; Heuer, Norbert 40 2013 A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek 39 2014 An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in one space variable. Zbl 0601.65081Demkowicz, L.; Oden, J. T. 39 1986 Adaptive finite elements for flow problems with moving boundaries. I. Variational principles and a posteriori estimates. Zbl 0583.76025Demkowicz, L.; Oden, J. T.; Strouboulis, T. 38 1984 A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H. 37 2012 Goal-oriented \(hp\)-adaptivity for elliptic problems. Zbl 1044.65082Šolín, P.; Demkowicz, L. 35 2004 Discrete compactness and the approximation of Maxwell’s equations in \(\mathbb{R} ^3\). Zbl 1035.65131Monk, P.; Demkowicz, L. 34 2001 Applied functional analysis. Zbl 0851.46001Oden, J. Tinsley; Demkowicz, Leszek F. 34 1996 \(hp\)-adaptive finite elements in electromagnetics. Zbl 0956.78013Vardapetyan, L.; Demkowicz, L. 33 1999 An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables. Zbl 0602.76097Demkowicz, L.; Oden, J. T. 33 1986 \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates. Zbl 1143.78365Demkowicz, L.; Buffa, A. 31 2005 Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation. Zbl 1243.76059Demkowicz, Leszek F.; Gopalakrishnan, Jayadeep; Muga, Ignacio; Zitelli, J. 30 2012 An \(hp\)-adaptive finite element method for electromagnetics. II: A 3D implementation. Zbl 0994.78012Rachowicz, W.; Demkowicz, L. 30 2002 Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F. 29 2004 Asymptotic convergence in finite and boundary element methods. I: Theoretical results. Zbl 0807.65058Demkowicz, L. 29 1994 A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses. Zbl 1283.74094Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; Qiu, Weifeng 28 2012 Fully automatic \(hp\)-adaptivity in three dimensions. Zbl 1193.65203Rachowicz, W.; Pardo, D.; Demkowicz, L. 27 2006 \(p\) interpolation error estimates for edge finite elements of variable order in two dimensions. Zbl 1067.78016Demkowicz, L.; Babuska, I. 27 2003 A posteriori error control for DPG methods. Zbl 1320.65171Carstensen, Carsten; Demkowicz, Leszek; Gopalakrishnan, Jay 26 2014 Analysis of a coupled finite-infinite element method for exterior Helmholtz problems. Zbl 1013.65122Demkowicz, Leszek; Ihlenburg, Frank 24 2001 On some existence and uniqueness results in contact problems with nonlocal friction. Zbl 0511.73122Demkowicz, L.; Oden, J. T. 24 1982 An overview of the discontinuous Petrov Galerkin method. Zbl 1282.65152Demkowicz, Leszek F.; Gopalakrishnan, Jay 23 2014 Convergence of the infinite element methods for the Helmholtz equation in separable domains. Zbl 0898.65067Demkowicz, L.; Gerdes, K. 23 1998 The DPG method for the Stokes problem. Zbl 1381.76200Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek 22 2014 A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar 22 2013 A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations. Zbl 0727.73072Oden, J. T.; Demkowicz, L.; Rachowicz, W.; Westermann, T. A. 22 1990 Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element method. Zbl 0778.73081Demkowicz, L.; Karafiat, A.; Oden, J. Tinsley 21 1992 High-order finite elements applied to the discrete Boltzmann equation. Zbl 1113.76049Düster, Alexander; Demkowicz, Leszek; Rank, Ernst 20 2006 A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity. Zbl 0731.76041Demkowicz, L.; Oden, J. T.; Rachowicz, W. 20 1990 Polynomial extension operators. III. Zbl 1252.46022Demkowicz, L.; Gopalakrishnan, J.; Schöberl, J. 19 2012 A goal-oriented hp-adaptive finite element method with electromagnetic applications. I: Electrostatics. Zbl 1118.78015Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Tabarovsky, L. 19 2006 On some convergence results for FDM with irregular mesh. Zbl 0518.65070Demkowicz, Leszek; Karafiat, Andrzej; Liszka, Tadeusz 19 1984 Applied functional analysis. 2nd ed. Zbl 1200.46001Oden, J. Tinsley; Demkowicz, Leszek F. 18 2010 Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry. Zbl 1230.74195Qiu, Weifeng; Demkowicz, Leszek 18 2009 Polynomial exact sequences and projection-based interpolation with application to Maxwell equations. Zbl 1143.78366Demkowicz, Leszek 18 2008 Two-dimensional high-accuracy simulation of resistivity logging-while-drilling (LWD) measurement using a self-adaptive goal-oriented \(hp\)-finite element method. Zbl 1116.78014Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. 18 2006 An \(h\)-\(p\) Taylor-Galerkin finite element method for compressible Euler equations. Zbl 0745.76036Demkowicz, L.; Oden, J. Tinsley; Rachowicz, W.; Hardy, O. 18 1991 Improving the performance of perfectly matched layers by means of \(hp\)-adaptivity. Zbl 1118.65123Michler, C.; Demkowicz, L.; Kurtz, J.; Pardo, D. 17 2007 HP90: A general and flexible Fortran 90 \(hp\)-FE code. Zbl 0912.68014Demkowicz, L.; Gerdes, K.; Schwab, C.; Bajer, A.; Walsh, T. 17 1998 A posteriori error estimation for acoustic wave propagation problems. Zbl 1145.76033Oden, J. Tinsley; Prudhomme, Serge; Demkowicz, Leszek 16 2005 Maxwell eigenvalues and discrete compactness in two dimensions. Zbl 0998.78011Demkowicz, L.; Monk, P.; Schwab, Ch.; Vardapetyan, L. 16 2000 An \(hp\)-adaptive finite element method for electromagnetics. I: Data structure and constrained approximation. Zbl 0979.78031Rachowicz, W.; Demkowicz, L. 16 2000 Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems. Zbl 1364.76086Ellis, Truman; Demkowicz, Leszek; Chan, Jesse 15 2014 Discrete compactness for the \(hp\) version of rectangular edge finite elements. Zbl 1122.65110Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek 15 2006 Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package. Zbl 1093.65113Paszyński, M.; Kurtz, J.; Demkowicz, L. 15 2006 An \(hp\)-adaptive finite element method for electromagnetics. III: A three-dimensional infinite element for Maxwell’s equations. Zbl 1034.78017Cecot, W.; Rachowicz, W.; Demkowicz, L. 15 2003 Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element methods. Zbl 0770.73092Demkowicz, L.; Oden, J. Tinsley; Ainsworth, M.; Geng, P. 14 1991 A spacetime DPG method for the Schrödinger equation. Zbl 1369.65122Demkowicz, L.; Gopalakrishnan, J.; Nagaraj, S.; Sepúlveda, P. 13 2017 A DPG method for steady viscous compressible flow. Zbl 1391.76311Chan, Jesse; Demkowicz, Leszek; Moser, Robert 13 2014 Discontinuous Petrov-Galerkin method with optimal test functions for thin-body problems in solid mechanics. Zbl 1225.74100Niemi, Antti H.; Bramwell, Jamie A.; Demkowicz, Leszek F. 13 2011 Explicit polynomial preserving trace liftings on a triangle. Zbl 1175.46019Ainsworth, Mark; Demkowicz, Leszek 13 2009 Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes. Zbl 1173.76424Ainsworth, Mark; Demkowicz, Leszek; Kim, Chang-Wan 13 2007 An infinite element for Maxwell’s equations. Zbl 1034.78018Demkowicz, Leszek; Pal, Mihaela 13 1998 Asymptotic convergence in finite and boundary element methods. II: The LBB constant for rigid and elastic scattering problems. Zbl 0818.73071Demkowicz, L. 13 1994 Multiscale modeling using goal-oriented adaptivity and numerical homogenization. I: Mathematical formulation and numerical results. Zbl 1243.74168Jhurani, Chetan; Demkowicz, Leszek 12 2012 Polynomial extension operators. I. Zbl 1189.46025Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim 12 2008 Integration of \(hp\)-adaptivity and a two-grid solver for elliptic problems. Zbl 1093.65112Pardo, D.; Demkowicz, L. 12 2006 Control of geometry induced error in \(hp\) finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. Zbl 1073.65122Xue, Dong; Demkowicz, Leszek 12 2005 Fully automatic \(hp\)-adaptivity for Maxwell’s equations. Zbl 1063.78019Demkowicz, L. 12 2005 Recent progress on application of \(hp\)-adaptive BE/FE methods to elastic scattering. Zbl 0810.73072Demkowicz, L.; Oden, J. T. 12 1994 Adaptive finite element methods for hyperbolic systems with application to transient acoustics. Zbl 0755.76055Safjan, A.; Demkowicz, L.; Oden, J. Tinsley 12 1991 Construction of DPG Fortin operators for second order problems. Zbl 1397.65284Nagaraj, Sriram; Petrides, Socratis; Demkowicz, Leszek F. 11 2017 A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations. Zbl 1349.76259Roberts, Nathan V.; Demkowicz, Leszek; Moser, Robert 11 2015 Numerical simulations of cloaking problems using a DPG method. Zbl 1311.78011Demkowicz, L.; Li, Jichun 11 2013 A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics. Zbl 1173.78320Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. 11 2007 \(hp\)-adaptive finite elements for time-harmonic Maxwell equations. Zbl 1059.78032Demkowicz, Leszek 11 2003 Application of \(hp\)-adaptive BE/FE methods to elastic scattering. Zbl 0918.73289Demkowicz, L.; Oden, J. T. 11 1996 Coupled variational formulations of linear elasticity and the DPG methodology. Zbl 1380.65367Fuentes, Federico; Keith, Brendan; Demkowicz, Leszek; Le Tallec, Patrick 10 2017 Polynomial extension operators. II. Zbl 1208.46030Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim 10 2009 Polynomial extension operators for \(H^1\), \(H(\mathrm{curl})\) and \(H(\mathrm{div})\)-spaces on a cube. Zbl 1198.65235Costabel, M.; Dauge, M.; Demkowicz, L. 10 2008 Nédélec spaces in affine coordinates. Zbl 1078.65103Gopalakrishnan, J.; García-Castillo, L. E.; Demkowicz, L. F. 10 2005 A two-dimensional infinite element for Maxwell’s equations. Zbl 0995.78039Cecot, W.; Demkowicz, L.; Rachowicz, W. 10 2000 An adaptive DPG method for high frequency time-harmonic wave propagation problems. Zbl 1397.65288Petrides, Socratis; Demkowicz, Leszek F. 9 2017 Parametric finite elements, exact sequences and perfectly matched layers. Zbl 1398.65308Matuszyk, Pawel J.; Demkowicz, Leszek F. 9 2013 Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry: stability analysis. Zbl 1328.74082Qiu, Weifeng; Demkowicz, Leszek 9 2011 A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions. Zbl 1173.65357Kurtz, J.; Demkowicz, L. 8 2007 Full-wave analysis of dielectric waveguides at a given frequency. Zbl 1009.78010Vardapetyan, L.; Demkowicz, L. 8 2003 Dynamic contact/impact problems, energy conservation, and planetary gear trains. Zbl 1083.74566Bajer, A.; Demkowicz, L. 8 2002 On a mesh optimization method based on a minimization of interpolation error. Zbl 0591.65009Demkowicz, L.; Oden, J. T. 8 1986 PML enhanced with a self-adaptive goal-oriented \(hp\)-finite element method: Simulation of through-casing borehole resistivity measurements. Zbl 1185.78019Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Michler, C. 7 2008 A two-dimensional self-adaptivehpfinite element method for the characterization of waveguide discontinuities. I: Energy-norm based automatichp-adaptivity. Zbl 1173.78318García-Castillo, Luis E.; Pardo, David; Gómez-Revuelto, Ignacio; Demkowicz, Leszek F. 7 2007 A two-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities. II: Goal-oriented \(hp\)-adaptivity. Zbl 1173.78321Pardo, David; García-Castillo, Luis E.; Demkowicz, Leszek F.; Torres-Verdín, Carlos 7 2007 Verification of goal-oriented hp-adaptivity. Zbl 1138.78314Paszyński, M.; Demkowicz, L.; Pardo, D. 7 2005 Extraction methods for second derivatives in finite element approximations of linear elasticity problems. Zbl 0589.73075Demkowicz, L.; Oden, J. T. 7 1985 Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Zbl 1281.65129Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar 6 2013 Construction of DPG Fortin operators revisited. Zbl 07283108Demkowicz, Leszek; Zanotti, Pietro 1 2020 The DPG-star method. Zbl 1447.65133Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan 1 2020 Goal-oriented adaptive mesh refinement for discontinuous Petrov-Galerkin methods. Zbl 1422.65391Keith, Brendan; Astaneh, Ali Vaziri; Demkowicz, Leszek F. 3 2019 On perfectly matched layers for discontinuous Petrov-Galerkin methods. Zbl 07053714Vaziri Astaneh, Ali; Keith, Brendan; Demkowicz, Leszek 2 2019 Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert 1 2019 High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations. Zbl 1440.65233Vaziri Astaneh, Ali; Fuentes, Federico; Mora, Jaime; Demkowicz, Leszek 2 2018 Applied functional analysis. 3rd edition. Zbl 1379.46001Oden, John Tinsley; Demkowicz, Leszek F. 1 2018 A spacetime DPG method for the Schrödinger equation. Zbl 1369.65122Demkowicz, L.; Gopalakrishnan, J.; Nagaraj, S.; Sepúlveda, P. 13 2017 Construction of DPG Fortin operators for second order problems. Zbl 1397.65284Nagaraj, Sriram; Petrides, Socratis; Demkowicz, Leszek F. 11 2017 Coupled variational formulations of linear elasticity and the DPG methodology. Zbl 1380.65367Fuentes, Federico; Keith, Brendan; Demkowicz, Leszek; Le Tallec, Patrick 10 2017 An adaptive DPG method for high frequency time-harmonic wave propagation problems. Zbl 1397.65288Petrides, Socratis; Demkowicz, Leszek F. 9 2017 Discrete least-squares finite element methods. Zbl 1439.65179Keith, Brendan; Petrides, Socratis; Fuentes, Federico; Demkowicz, Leszek 3 2017 Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J. 41 2016 The DPG methodology applied to different variational formulations of linear elasticity. Zbl 1439.74431Keith, Brendan; Fuentes, Federico; Demkowicz, Leszek 3 2016 Robust DPG methods for transient convection-diffusion. Zbl 1357.65173Ellis, Truman; Chan, Jesse; Demkowicz, Leszek 1 2016 A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations. Zbl 1349.76259Roberts, Nathan V.; Demkowicz, Leszek; Moser, Robert 11 2015 A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek 39 2014 A posteriori error control for DPG methods. Zbl 1320.65171Carstensen, Carsten; Demkowicz, Leszek; Gopalakrishnan, Jay 26 2014 An overview of the discontinuous Petrov Galerkin method. Zbl 1282.65152Demkowicz, Leszek F.; Gopalakrishnan, Jay 23 2014 The DPG method for the Stokes problem. Zbl 1381.76200Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek 22 2014 Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems. Zbl 1364.76086Ellis, Truman; Demkowicz, Leszek; Chan, Jesse 15 2014 A DPG method for steady viscous compressible flow. Zbl 1391.76311Chan, Jesse; Demkowicz, Leszek; Moser, Robert 13 2014 Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic \(h p\)-adaptivity. Zbl 1423.74905Matuszyk, Paweł J.; Demkowicz, Leszek F. 5 2014 Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053Bochev, Pavel (ed.); Demkowicz, Leszek (ed.); Gopalakrishnan, Jay (ed.); Gunzburger, Max (ed.) 1 2014 Robust DPG method for convection-dominated diffusion problems. Zbl 1290.65088Demkowicz, Leszek; Heuer, Norbert 40 2013 A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar 22 2013 Numerical simulations of cloaking problems using a DPG method. Zbl 1311.78011Demkowicz, L.; Li, Jichun 11 2013 Parametric finite elements, exact sequences and perfectly matched layers. Zbl 1398.65308Matuszyk, Pawel J.; Demkowicz, Leszek F. 9 2013 Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Zbl 1281.65129Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar 6 2013 Modeling bone conduction of sound in the human head. II: Simulation results. Zbl 1360.74112Gatto, P.; Demkowicz, L. 1 2013 A class of discontinuous Petrov-Galerkin methods. III: Adaptivity. Zbl 1316.76047Demkowicz, Leszek; Gopalakrishnan, Jay; Niemi, Antti H. 37 2012 Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation. Zbl 1243.76059Demkowicz, Leszek F.; Gopalakrishnan, Jayadeep; Muga, Ignacio; Zitelli, J. 30 2012 A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses. Zbl 1283.74094Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; Qiu, Weifeng 28 2012 Polynomial extension operators. III. Zbl 1252.46022Demkowicz, L.; Gopalakrishnan, J.; Schöberl, J. 19 2012 Multiscale modeling using goal-oriented adaptivity and numerical homogenization. I: Mathematical formulation and numerical results. Zbl 1243.74168Jhurani, Chetan; Demkowicz, Leszek 12 2012 Multiscale modeling using goal-oriented adaptivity and numerical homogenization. II: Algorithms for the Moore-Penrose pseudoinverse. Zbl 1243.74169Jhurani, Chetan; Demkowicz, Leszek 5 2012 Solution of coupled acoustic-elastic wave propagation problems with anelastic attenuation using automatic \(hp\)-adaptivity. Zbl 1243.76087Matuszyk, Pawel J.; Demkowicz, Leszek F.; Torres-Verdin, Carlos 4 2012 A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions. Zbl 1208.65164Demkowicz, L.; Gopalakrishnan, J. 85 2011 Analysis of the DPG method for the Poisson equation. Zbl 1237.65122Demkowicz, L.; Gopalakrishnan, J. 60 2011 A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D. Zbl 1316.76054Zitelli, J.; Muga, I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo, D.; Calo, V. M. 53 2011 Discontinuous Petrov-Galerkin method with optimal test functions for thin-body problems in solid mechanics. Zbl 1225.74100Niemi, Antti H.; Bramwell, Jamie A.; Demkowicz, Leszek F. 13 2011 Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry: stability analysis. Zbl 1328.74082Qiu, Weifeng; Demkowicz, Leszek 9 2011 Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf 4 2011 Mixed variable order \(h\)-finite element method for linear elasticity with weakly imposed symmetry. Curvilinear elements in 2D. Zbl 1284.65172Qiu, Weifeng; Demkowicz, Leszek 1 2011 Modeling of bone conduction of sound in the human head using hp-finite elements: code design and verification. Zbl 1228.74046Demkowicz, L.; Gatto, P.; Kurtz, J.; Paszyński, M.; Rachowicz, W.; Bleszyński, E.; Bleszyński, M.; Hamilton, M.; Champlin, C.; Pardo, D. 1 2011 A class of discontinuous Petrov-Galerkin methods. I: The transport equation. Zbl 1231.76142Demkowicz, L.; Gopalakrishnan, J. 77 2010 Applied functional analysis. 2nd ed. Zbl 1200.46001Oden, J. Tinsley; Demkowicz, Leszek F. 18 2010 A parallel direct solver for the self-adaptive \(hp\) finite element method. Zbl 1233.68079Paszyński, Maciej; Pardo, David; Torres-Verdín, Carlos; Demkowicz, Leszek; Calo, Victor 5 2010 Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry. Zbl 1230.74195Qiu, Weifeng; Demkowicz, Leszek 18 2009 Explicit polynomial preserving trace liftings on a triangle. Zbl 1175.46019Ainsworth, Mark; Demkowicz, Leszek 13 2009 Polynomial extension operators. II. Zbl 1208.46030Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim 10 2009 Numerical simulation of borehole acoustic logging in the frequency and time domains with \(hp\)-adaptive finite elements. Zbl 1227.76034Michler, Christian; Demkowicz, Leszek; Torres-Verdín, Carlos 4 2009 \(G^1\)-interpolation and geometry reconstruction for higher order finite elements. Zbl 1157.65485Demkowicz, L.; Gatto, P.; Qiu, W.; Joplin, A. 1 2009 Computing with \(hp\)-adaptive finite elements. Vol. II: Frontiers: Three-dimensional elliptic and Maxwell problems with applications. Zbl 1148.65001Demkowicz, Leszek F.; Kurtz, Jason; Pardo, David; Paszyński, Maciej; Rachowicz, Waldemar; Zdunek, Adam 97 2008 Polynomial exact sequences and projection-based interpolation with application to Maxwell equations. Zbl 1143.78366Demkowicz, Leszek 18 2008 Polynomial extension operators. I. Zbl 1189.46025Demkowicz, Leszek; Gopalakrishnan, Jayadeep; Schöberl, Joachim 12 2008 Polynomial extension operators for \(H^1\), \(H(\mathrm{curl})\) and \(H(\mathrm{div})\)-spaces on a cube. Zbl 1198.65235Costabel, M.; Dauge, M.; Demkowicz, L. 10 2008 PML enhanced with a self-adaptive goal-oriented \(hp\)-finite element method: Simulation of through-casing borehole resistivity measurements. Zbl 1185.78019Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Michler, C. 7 2008 Computing with \(hp\)-adaptive finite elements. Vol. 1: One- and two-dimensional elliptic and Maxwell problems. With CD-ROM. Zbl 1111.65103Demkowicz, Leszek F. 69 2007 Improving the performance of perfectly matched layers by means of \(hp\)-adaptivity. Zbl 1118.65123Michler, C.; Demkowicz, L.; Kurtz, J.; Pardo, D. 17 2007 Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes. Zbl 1173.76424Ainsworth, Mark; Demkowicz, Leszek; Kim, Chang-Wan 13 2007 A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics. Zbl 1173.78320Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. 11 2007 A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions. Zbl 1173.65357Kurtz, J.; Demkowicz, L. 8 2007 A two-dimensional self-adaptivehpfinite element method for the characterization of waveguide discontinuities. I: Energy-norm based automatichp-adaptivity. Zbl 1173.78318García-Castillo, Luis E.; Pardo, David; Gómez-Revuelto, Ignacio; Demkowicz, Leszek F. 7 2007 A two-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities. II: Goal-oriented \(hp\)-adaptivity. Zbl 1173.78321Pardo, David; García-Castillo, Luis E.; Demkowicz, Leszek F.; Torres-Verdín, Carlos 7 2007 Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and Maxwell problems. Zbl 1128.65096Demkowicz, L.; Kurtz, J. 6 2007 Dynamic data-driven finite element models for laser treatment of cancer. Zbl 1114.92043Oden, J. T.; Diller, K. R.; Bajaj, C.; Browne, J. C.; Hazle, J.; Babuška, I.; Bass, J.; Biduat, L.; Demkowicz, L.; Elliott, A.; Feng, Y.; Fuentes, D.; Prudhomme, S.; Rylander, M. N.; Stafford, R. J.; Zhang, Y. 4 2007 Ivo Babuška - mathematician and engineer. Zbl 1173.01318Demkowicz, L.; Guo, Ben Qi; Osborn, J.; Vogelius, M. 1 2007 Fully automatic \(hp\)-adaptivity in three dimensions. Zbl 1193.65203Rachowicz, W.; Pardo, D.; Demkowicz, L. 27 2006 High-order finite elements applied to the discrete Boltzmann equation. Zbl 1113.76049Düster, Alexander; Demkowicz, Leszek; Rank, Ernst 20 2006 A goal-oriented hp-adaptive finite element method with electromagnetic applications. I: Electrostatics. Zbl 1118.78015Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Tabarovsky, L. 19 2006 Two-dimensional high-accuracy simulation of resistivity logging-while-drilling (LWD) measurement using a self-adaptive goal-oriented \(hp\)-finite element method. Zbl 1116.78014Pardo, D.; Demkowicz, L.; Torres-Verdín, C.; Paszynski, M. 18 2006 Discrete compactness for the \(hp\) version of rectangular edge finite elements. Zbl 1122.65110Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek 15 2006 Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package. Zbl 1093.65113Paszyński, M.; Kurtz, J.; Demkowicz, L. 15 2006 Integration of \(hp\)-adaptivity and a two-grid solver for elliptic problems. Zbl 1093.65112Pardo, D.; Demkowicz, L. 12 2006 A few new (?) facts about infinite elements. Zbl 1123.76028Demkowicz, L.; Shen, Jie 4 2006 Integration of \(hp\)-adaptivity and a two-grid solver for electromagnetic problems. Zbl 1131.78009Pardo, D.; Demkowicz, L.; Gopalakrishnan, J. 4 2006 Conjugated Bubnov-Galerkin infinite element for Maxwell equations. Zbl 1135.78009Demkowicz, L.; Kurtz, J. 1 2006 \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates. Zbl 1143.78365Demkowicz, L.; Buffa, A. 31 2005 A posteriori error estimation for acoustic wave propagation problems. Zbl 1145.76033Oden, J. Tinsley; Prudhomme, Serge; Demkowicz, Leszek 16 2005 Control of geometry induced error in \(hp\) finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. Zbl 1073.65122Xue, Dong; Demkowicz, Leszek 12 2005 Fully automatic \(hp\)-adaptivity for Maxwell’s equations. Zbl 1063.78019Demkowicz, L. 12 2005 Nédélec spaces in affine coordinates. Zbl 1078.65103Gopalakrishnan, J.; García-Castillo, L. E.; Demkowicz, L. F. 10 2005 Verification of goal-oriented hp-adaptivity. Zbl 1138.78314Paszyński, M.; Demkowicz, L.; Pardo, D. 7 2005 Optimal error estimate of a projection based interpolation for the \(p\)-version approximation in three dimensions. Zbl 1092.65095Cao, W.; Demkowicz, L. 6 2005 Goal-oriented \(hp\)-adaptivity for elliptic problems. Zbl 1044.65082Šolín, P.; Demkowicz, L. 35 2004 Analysis of a multigrid algorithm for time harmonic Maxwell equations. Zbl 1079.78025Gopalakrishnan, Jayadeep; Pasciak, Joseph E.; Demkowicz, Leszek F. 29 2004 Quasioptimality of some spectral mixed methods. Zbl 1051.78020Gopalakrishnan, Jayadeep; Demkowicz, Leszek F. 6 2004 \(p\) interpolation error estimates for edge finite elements of variable order in two dimensions. Zbl 1067.78016Demkowicz, L.; Babuska, I. 27 2003 An \(hp\)-adaptive finite element method for electromagnetics. III: A three-dimensional infinite element for Maxwell’s equations. Zbl 1034.78017Cecot, W.; Rachowicz, W.; Demkowicz, L. 15 2003 \(hp\)-adaptive finite elements for time-harmonic Maxwell equations. Zbl 1059.78032Demkowicz, Leszek 11 2003 Full-wave analysis of dielectric waveguides at a given frequency. Zbl 1009.78010Vardapetyan, L.; Demkowicz, L. 8 2003 Discrete compactness for \(p\) and \(hp\) 2D edge finite elements. Zbl 1056.65108Boffi, Daniele; Demkowicz, Leszek; Costabel, Martin 6 2003 \(hp\)-vector finite element method for eigenmode analysis of waveguides. Zbl 1014.78012Vardapetyan, L.; Demkowicz, L.; Neikirk, D. 6 2003 \(hp\) boundary element modeling of the external human auditory system – goal-oriented adaptivity with multiple load vectors. Zbl 1083.76561Walsh, Timothy; Demkowicz, Leszek 4 2003 \(hp\)-adaptive finite elements for Maxwell’s equations. Zbl 1030.78010Demkowicz, Leszek 1 2003 A fully automatic \(hp\)-adaptivity. Zbl 0999.65121Demkowicz, L.; Rachowicz, W.; Devloo, Ph. 60 2002 An \(hp\)-adaptive finite element method for electromagnetics. II: A 3D implementation. Zbl 0994.78012Rachowicz, W.; Demkowicz, L. 30 2002 Dynamic contact/impact problems, energy conservation, and planetary gear trains. Zbl 1083.74566Bajer, A.; Demkowicz, L. 8 2002 Discrete compactness and the approximation of Maxwell’s equations in \(\mathbb{R} ^3\). Zbl 1035.65131Monk, P.; Demkowicz, L. 34 2001 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,858 Authors 95 Demkowicz, Leszek F. 45 Li, Jichun 45 Oden, John Tinsley 31 Pardo, David 28 Rachowicz, Waldemar 22 Ainsworth, Mark 22 Paszyński, Maciej 19 Calo, Victor Manuel 19 Heuer, Norbert 16 Babuška, Ivo 16 Huang, Yunqing 15 Devloo, Philippe Remy Bernard 15 Gopalakrishnan, Jay 15 Strouboulis, Theofanis 14 Gopalakrishnan, Jayadeep 13 Schwab, Christoph 11 Huerta, Antonio 11 Schötzau, Dominik 11 Šolín, Pavel 11 Torres-Verdín, Carlos 11 Zdunek, Adam 10 Dolejší, Vít 10 Führer, Thomas 10 Schroder, Andreas 10 Yang, Wei 9 Carstensen, Carsten 9 Chan, Jesse 9 Cockburn, Bernardo 9 Liu, Jinn-Liang 9 Qiu, Weifeng 9 Rank, Ernst 9 Schöberl, Joachim 9 Xu, Jinchao 8 Bacuta, Constantin 8 Beuchler, Sven 8 Díez, Pedro 8 Ern, Alexandre 8 Gerdes, Klaus 8 Harari, Isaac 8 Karkulik, Michael 8 Melenk, Jens Markus 8 Muga, Ignacio 8 Pasciak, Joseph E. 8 Perugia, Ilaria 8 Rodríguez, Rodolfo 7 Cecot, Witold 7 Gomes, Sônia Maria 7 Hughes, Thomas J. R. 7 Keith, Brendan 7 Ledger, Paul David 7 Monk, Peter B. 7 Prudhomme, Serge 7 Sevilla, Ruben 6 Boffi, Daniele 6 Bui-Thanh, Tan 6 Christiansen, Snorre Harald 6 Chung, Tsz Shun Eric 6 Duarte, Carlos Armando 6 Gangaraj, S. K. 6 García-Castillo, Luis-Emilio 6 Ghosh, Somnath 6 Houston, Paul 6 Ladevèze, Pierre 6 Matuszyk, Paweł Jerzy 6 Rapetti, Francesca 6 Schillinger, Dominik 6 Stevenson, Rob P. 6 Tworzydlo, Wlodzimierz W. 6 Vohralík, Martin 6 Wieners, Christian 6 Yi, Lijun 5 Astley, R. Jeremy 5 Boulmezaoud, Tahar Zamène 5 Bramble, James H. 5 Buffa, Annalisa 5 Copps, K. 5 Dalcín, Lisandro D. 5 Düster, Alexander 5 Evans, John A. 5 Ewing, Richard Edward 5 Hauke, Guillermo 5 Hiptmair, Ralf 5 Ihlenburg, Frank 5 Kolev, Tzanio V. 5 Kollmannsberger, Stefan 5 Kurtz, Jason 5 Loula, Abimael Fernando Dourado 5 Niemi, Antti H. 5 Peraire, Jaime 5 Roberts, Nathan V. 5 Schaefer, Robert L. 5 Valentin, Frédéric 5 van der Zee, Kristoffer George 5 Vardapetyan, L. G. 5 Warburton, Timothy 5 Wheeler, Mary Fanett 5 Zaglmayr, Sabine 5 Zhang, Zhimin 5 Zohdi, Tarek I. 4 Bass, Jon M. ...and 1,758 more Authors all top 5 Cited in 134 Serials 340 Computer Methods in Applied Mechanics and Engineering 150 Computers & Mathematics with Applications 80 Journal of Computational Physics 55 International Journal for Numerical Methods in Engineering 52 Journal of Computational and Applied Mathematics 49 Mathematics of Computation 34 Computational Mechanics 32 Applied Numerical Mathematics 30 Numerische Mathematik 28 Journal of Scientific Computing 27 SIAM Journal on Numerical Analysis 21 SIAM Journal on Scientific Computing 21 Engineering Analysis with Boundary Elements 17 Computational Methods in Applied Mathematics 15 Applied Mathematics and Computation 15 Numerical Methods for Partial Differential Equations 13 International Journal for Numerical Methods in Fluids 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Computers and Fluids 11 Journal of Mathematical Analysis and Applications 10 Archives of Computational Methods in Engineering 8 Numerical Functional Analysis and Optimization 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Engineering Computations 7 Communications in Numerical Methods in Engineering 7 Journal of Computational Acoustics 6 Computing 6 Applied Mathematics Letters 6 Numerical Linear Algebra with Applications 6 Advances in Computational Mathematics 6 Computational Geosciences 6 International Journal of Computational Methods 5 International Journal of Engineering Science 5 Wave Motion 5 Mathematics and Computers in Simulation 5 COMPEL 5 Mathematical and Computer Modelling 5 Applied Mathematical Modelling 5 Mathematical Problems in Engineering 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Fluid Mechanics 4 BIT 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Computing and Visualization in Science 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Mathematical Methods in the Applied Sciences 3 Calcolo 3 Numerical Algorithms 3 Mathematics and Mechanics of Solids 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 International Journal of Applied Mathematics and Computer Science 3 Journal of Numerical Mathematics 3 SMAI Journal of Computational Mathematics 3 Results in Applied Mathematics 2 Acta Mechanica 2 Applicable Analysis 2 Computer Physics Communications 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 ACM Transactions on Mathematical Software 2 Journal of Differential Equations 2 Japan Journal of Industrial and Applied Mathematics 2 Archive of Applied Mechanics 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Mathematical Chemistry 2 European Journal of Mechanics. A. Solids 2 Foundations of Computational Mathematics 2 Acta Numerica 2 Oberwolfach Reports 2 Inverse Problems in Science and Engineering 2 Acta Mechanica Sinica 2 Frontiers of Mathematics in China 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Science China. Mathematics 2 International Journal for Numerical Methods in Biomedical Engineering 2 ISRN Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Statistical Physics 1 Transport Theory and Statistical Physics 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Meccanica 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Advances in Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Finite Elements in Analysis and Design 1 Constructive Approximation 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Parallel and Distributed Computing 1 Neural Networks 1 Applications of Mathematics ...and 34 more Serials all top 5 Cited in 40 Fields 937 Numerical analysis (65-XX) 407 Partial differential equations (35-XX) 346 Mechanics of deformable solids (74-XX) 305 Fluid mechanics (76-XX) 219 Optics, electromagnetic theory (78-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 19 Functional analysis (46-XX) 19 Classical thermodynamics, heat transfer (80-XX) 16 Operator theory (47-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Computer science (68-XX) 11 Biology and other natural sciences (92-XX) 10 Approximations and expansions (41-XX) 10 Geophysics (86-XX) 10 Operations research, mathematical programming (90-XX) 9 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.