Edit Profile (opens in new tab) Langer, Ulrich Co-Author Distance Author ID: langer.ulrich Published as: Langer, Ulrich; Langer, U.; Langer, Ulrich. more...less External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 163 Publications since 1977, including 7 Books and 20 Additional arXiv Preprints 21 Contributions as Editor · 1 Further Contribution Reviewing Activity: 195 Reviews Co-Authors: 90 Co-Authors with 157 Joint Publications 2,430 Co-Co-Authors all top 5 Co-Authors 24 single-authored 19 Steinbach, Olaf 16 Haase, Gundolf 16 Yang, Huidong 10 Hofer, Christoph D. 10 Wick, Thomas 9 Korneev, Vadim Glebovich 9 Repin, Sergeĭ Igorevich 9 Schöberl, Joachim 8 Schafelner, Andreas 8 Toulopoulos, Ioannis 7 Jung, Michael 7 Meyer, Arnd 7 Pechstein, Clemens 6 Endtmayer, Bernhard 6 Hofreither, Clemens 6 Kolmbauer, Michael 6 Neumüller, Martin 6 Reitzinger, Stefan 5 Jodlbauer, Daniel 5 Mantzaflaris, Angelos 5 Matculevich, Svetlana 5 Pusch, David 5 Zulehner, Walter 4 Gangl, Peter 4 Hiptmair, Ralf 4 Hoppe, Ronald H. W. 4 Löscher, Richard 4 Moore, Stephen Edward 4 Queck, Werner 4 Tröltzsch, Fredi 4 Wolfmayr, Monika 3 Copeland, Dylan Matthew 3 Joly, Patrick 3 Lerch, Reinhard 3 Schinnerl, M. 3 Xanthis, Leonidas Spyridon 2 Bachinger, Florian 2 Jüttler, Bert 2 Kaltenbacher, Manfred 2 Khoromskiĭ, Boris Nikolaevich 2 Pauly, Dirk 2 Schneckenleitner, Rainer 2 Wendland, Wolfgang L. 1 Amrhein, Wolfgang 1 Apel, Thomas 1 Bahlmann, Dieter 1 Basting, Steffen 1 Beuchler, Sven 1 Birken, Philipp 1 Canic, Sunica 1 Carstensen, Carsten 1 Colciago, Claudia Maria 1 Dauge, Monique 1 Deparis, Simone 1 Discacciati, Marco 1 Douglas, Craig C. 1 Eibner, Tino 1 Forti, Davide 1 Frei, Stefan 1 Globisch, Gerhard 1 Glowinski, Roland 1 Graham, Ivan G. 1 Gruber, Peter Günther 1 Günther, Michael 1 Hoffman, Johan 1 Holm, Bärbel 1 Keyes, David Elliot 1 Kickinger, Ferdinand 1 Kienesberger, Johanna 1 Kollmann, Markus 1 Kraus, Johannes K. 1 Kuznetsov, Yurii Alekseevich 1 Laurain, Antoine 1 Lindner, Ewald Hans 1 Matsokin, Aleksandr 1 Meftahi, Houcine 1 Melenk, Jens Markus 1 Monge, Azahar 1 Monk, Peter B. 1 Mühlhuber, Wolfram 1 Neitzel, Ira 1 Nepomnyashchikh, Sergeĭ Vladimirovich 1 Of, Günther 1 Paule, Peter 1 Quaini, Annalisa 1 Richter, Thomas 1 Samrowski, Tatiana S. 1 Schanz, Martin 1 Schicho, Josef 1 Schneider, Manfred 1 Shokrpour Roudbari, Mahnaz 1 Şimşek, Görkem 1 Sini, Mourad 1 Sturm, Kevin 1 Takacs, Stefan 1 Thiele, Jan Philipp 1 Tomar, Satyendra K. 1 Valdman, Jan 1 Van Brummelen, Harald 1 van der Zee, Kristoffer George ...and 7 more Co-Authors all top 5 Serials 10 Computational Methods in Applied Mathematics 8 SIAM Journal on Scientific Computing 5 Computers & Mathematics with Applications 5 Computing and Visualization in Science 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Oberwolfach Reports 5 Radon Series on Computational and Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Numerische Mathematik 4 Journal of Numerical Mathematics 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Computing 3 U.S.S.R. Computational Mathematics and Mathematical Physics 3 ETNA. Electronic Transactions on Numerical Analysis 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Surveys on Mathematics for Industry 2 International Journal of Computer Mathematics 2 Lecture Notes in Computational Science and Engineering 1 BIT 1 Differential Equations 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Parallel Computing 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 Numerical Linear Algebra with Applications 1 East-West Journal of Numerical Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Hungarian Electronic Journal of Sciences. Applied and Numerical Mathematics Section 1 Journal of Applied Mathematics and Computing 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Lecture Notes in Computer Science 1 Metody Vychisleniĭ 1 Teubner-Texte zur Mathematik 1 Software - Environments - Tools 1 Mathematics in Industry 1 Lecture Notes in Applied and Computational Mechanics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Beiträge zur Numerischen Mathematik 1 Texts & Monographs in Symbolic Computation 1 Wissenschaftliche Schriftenreihe der Technischen Universität Karl-Marx-Stadt all top 5 Fields 158 Numerical analysis (65-XX) 99 Partial differential equations (35-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 26 Optics, electromagnetic theory (78-XX) 22 General and overarching topics; collections (00-XX) 21 Mechanics of deformable solids (74-XX) 13 Fluid mechanics (76-XX) 9 Potential theory (31-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 964 times in 621 Documents Cited by ▼ Year ▼ Numerical analysis of nonlinear multiharmonic eddy current problems. Zbl 1122.78016 Bachinger, F.; Langer, U.; Schöberl, J. 45 2005 Multipatch discontinuous Galerkin isogeometric analysis. Zbl 1334.65194 Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis 42 2015 Space-time isogeometric analysis of parabolic evolution problems. Zbl 1436.76027 Langer, Ulrich; Moore, Stephen E.; Neumüller, Martin 39 2016 Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185 Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, Boris N.; Langer, Ulrich 38 2017 Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042 Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K. 37 2015 Boundary element tearing and interconnecting methods. Zbl 1037.65123 Langer, U.; Steinbach, O. 35 2003 A robust preconditioned minres solver for distributed time-periodic eddy current optimal control problems. Zbl 1258.49059 Kolmbauer, Michael; Langer, Ulrich 32 2012 Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations. Zbl 1439.65140 Hofer, Christoph; Langer, Ulrich 25 2017 Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152 Langer, Ulrich; Toulopoulos, Ioannis 22 2015 From the boundary element domain decomposition methods to local Trefftz finite element methods on polyhedral meshes. Zbl 1183.65158 Copeland, Dylan; Langer, Ulrich; Pusch, David 21 2009 The approximate Dirichlet domain decomposition method. I: An algebraic approach. Zbl 0741.65091 Haase, G.; Langer, U.; Meyer, A. 19 1991 Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282 Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, B. N.; Langer, Ulrich 18 2015 Fast parallel solvers for symmetric boundary element domain decomposition equations. Zbl 0907.65119 Carstensen, C.; Kuhn, M.; Langer, U. 18 1998 Matrix-free multigrid solvers for phase-field fracture problems. Zbl 1506.74355 Jodlbauer, D.; Langer, U.; Wick, T. 18 2020 Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200 Endtmayer, B.; Langer, U.; Wick, T. 17 2020 A robust finite element solver for a multiharmonic parabolic optimal control problem. Zbl 1319.49043 Kollmann, M.; Kolmbauer, M.; Langer, U.; Wolfmayr, M.; Zulehner, W. 16 2013 Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods. Zbl 1035.65144 Langer, U.; Pusch, D.; Reitzinger, S. 16 2003 Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition. Zbl 0798.65110 Langer, U. 15 1994 Inexact data-sparse boundary element tearing and interconnecting methods. Zbl 1133.65105 Langer, U.; Of, G.; Steinbach, O.; Zulehner, W. 14 2007 Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078 Langer, U.; Wolfmayr, M. 13 2013 The approximate Dirichlet domain decomposition method. II: Applications to 2nd-order elliptic B.V.P.s. Zbl 0741.65092 Haase, G.; Langer, U.; Meyer, A. 13 1991 Analysis of a non-standard finite element method based on boundary integral operators. Zbl 1205.65315 Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens 13 2010 Space-time methods. Applications to partial differential equations. Zbl 1425.65008 12 2019 Multigrid preconditioners and their applications. Zbl 0699.65076 Jung, Michael; Langer, Ulrich; Meyer, Arnd; Queck, Werner; Schneider, Manfred 12 1989 Discontinuous Galerkin isogeometric analysis of elliptic PDEs on surfaces. Zbl 1339.65219 Langer, Ulrich; Moore, Stephen E. 12 2016 Parallel multigrid 3D Maxwell solvers. Zbl 0969.65128 Haase, G.; Kuhn, M.; Langer, U. 11 2001 The regularity of solutions of problems from plastic-flow theory. Zbl 0574.73047 Korneev, V. G.; Langer, U. 11 1984 On the convergence factor of Uzawa’s algorithm. Zbl 0601.76021 Langer, U.; Queck, W. 11 1986 Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners. Zbl 0849.65089 Haase, G.; Langer, U.; Meyer, A.; Nepomnyaschikh, S. V. 11 1994 Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002 Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong 11 2021 Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. Zbl 1323.65121 Korneev, Vadim Glebovich; Langer, Ulrich 10 2015 Discontinuous Galerkin isogeometric analysis of elliptic diffusion problems on segmentations with gaps. Zbl 1352.65509 Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis 9 2016 Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136 Langer, Ulrich; Steinbach, Olaf 9 2005 Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004 9 2017 Parallel and robust preconditioning for Space-Time isogeometric analysis of parabolic evolution problems. Zbl 1420.65022 Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Schneckenleitner, Rainer 9 2019 Approximate solution of plastic flow theory problems. Zbl 0555.73039 Korneev, Vadim G.; Langer, Ulrich 9 1984 Applications of multilevel methods to practical problems. Zbl 0743.65031 Jung, Michael; Langer, Ulrich 9 1991 On fast domain decomposition solving procedures for \(hp\)-discretizations of 3-D elliptic problems. Zbl 1038.65133 Korneev, V. G.; Langer, U.; Xanthis, L. S. 9 2003 Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 8 2016 Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189 Langer, Ulrich; Steinbach, Olaf 8 2007 Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers. Zbl 1427.65404 Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis 8 2019 Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094 Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong 8 2021 The non-overlapping domain decomposition multiplicative Schwarz method. Zbl 0758.65024 Haase, Gundolf; Langer, Ulrich 8 1992 Space-time finite element methods for parabolic evolution problems with variable coefficients. Zbl 1433.65217 Langer, Ulrich; Neumüller, Martin; Schafelner, Andreas 8 2019 Efficient solvers for nonlinear time-periodic eddy current problems. Zbl 1512.78042 Bachinger, Florian; Langer, Ulrich; Schöberl, Joachim 8 2006 A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121 Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich 8 2003 Scientific computing tools for 3D magnetic field problems. Zbl 0983.78026 Kuhn, Michael; Langer, Ulrich; Schöberl, Joachim 7 2000 Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems. Zbl 1110.78009 Langer, U.; Pechstein, C. 7 2006 Data-sparse algebraic multigrid methods for large scale boundary element equations. Zbl 1073.65135 Langer, U.; Pusch, D. 7 2005 Preconditioned Uzawa-type iterative methods for solving mixed finite element equations. Theory - applications - software. Zbl 0619.65052 Langer, Ulrich; Queck, Werner 6 1987 Parallelization and preconditioning of the CG-method by means of domain decomposition. (Parallelisierung und Vorkonditionierung des CG-Verfahrens durch Gebietszerlegung.) Zbl 0797.65033 Haase, Gundolf; Langer, Ulrich; Meyer, Arnd 6 1993 Adaptive domain decomposition methods for finite and boundary element equations. Zbl 0884.65109 Haase, G.; Heise, B.; Kuhn, M.; Langer, U. 6 1997 Multigrid methods: from geometrical to algebraic versions. Zbl 1054.65122 Haase, Gundolf; Langer, Ulrich; Reitzinger, Stefan 6 2002 Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200 Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas 6 2019 Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. Zbl 1508.65130 Langer, Ulrich; Schafelner, Andreas 6 2020 Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212 Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis 5 2018 A new approach to the Dirichlet domain decomposition method. Zbl 0714.65088 Haase, Gundolf; Langer, Ulrich; Meyer, Arnd 5 1990 Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models. Zbl 1297.74039 Langer, Ulrich; Yang, Huidong 5 2015 Comparison of geometrical and algebraic multigrid preconditioners for data-sparse boundary element matrices. Zbl 1142.65346 Langer, U.; Pusch, D. 5 2006 Efficient solvers for some classes of time-periodic eddy current optimal control problems. Zbl 1291.78065 Kolmbauer, Michael; Langer, Ulrich 5 2013 A non-standard finite element method based on boundary integral operators. Zbl 1310.65146 Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens 5 2012 Dual-primal isogeometric tearing and interconnecting methods. Zbl 1418.65130 Hofer, Christoph; Langer, Ulrich 5 2019 Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. Zbl 1476.65297 Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas 5 2021 Numerical simulation of fluid-structure interaction problems with hyperelastic models: a monolithic approach. Zbl 1485.74097 Langer, Ulrich; Yang, Huidong 5 2018 Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems. Zbl 1443.65185 Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 5 2019 Algebraic multigrid methods based on element preconditioning. Zbl 1027.65169 Haase, G.; Langer, U.; Reitzinger, S.; Schoberl, J. 4 2001 Two-level hierarchically preconditioned conjugate gradient methods for solving linear elasticity finite element equations. Zbl 0701.65024 Jung, M.; Langer, U.; Semmler, U. 4 1989 Topology optimization of electric machines based on topological sensitivity analysis. Zbl 1360.49036 Gangl, Peter; Langer, Ulrich 4 2012 Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 4 2015 On the use of multigrid preconditioners in the domain decomposition method. Zbl 0742.65084 Haase, G.; Langer, Ulrich 4 1991 Method of finite elements for engineers. An introduction to the numerical foundations and computer simulation. 2nd revised and extended ed. (Methode der finiten Elemente für Ingenieure. Eine Einführung in die numerischen Grundlagen und Computersimulation.) Zbl 1264.65001 Jung, Michael; Langer, Ulrich 4 2013 Domain decomposition solvers for nonlinear multiharmonic finite element equations. Zbl 1204.65121 Copeland, D. M.; Langer, U. 4 2010 Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634 Langer, Ulrich; Zank, Marco 4 2021 Untersuchungen zum Kummerschen Verfahren zur numerischen Behandlung nichtlinearer Eigenwertaufgaben. Zbl 0363.65049 Langer, Ulrich 3 1977 Eigenvalue problems in surface acoustic wave filter simulations. Zbl 1308.76252 Zaglmayr, S.; Schöberl, J.; Langer, Ulrich 3 2006 Primal and dual interface concentrated iterative substructuring methods. Zbl 1180.65144 Beuchler, Sven; Eibner, Tino; Langer, Ulrich 3 2008 Domain decomposition solvers for frequency-domain finite element equations. Zbl 1217.65186 Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich 3 2011 Robust discretization and solvers for elliptic optimal control problems with energy regularization. Zbl 1484.49048 Langer, Ulrich; Steinbach, Olaf; Yang, Huidong 3 2022 Adaptive space-time finite element methods for parabolic optimal control problems. Zbl 1527.65099 Langer, Ulrich; Schafelner, Andreas 3 2022 Robust finite element discretization and solvers for distributed elliptic optimal control problems. Zbl 07766473 Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong 3 2023 Coupled FETI/BETI solvers for nonlinear potential problems in (un)bounded domains. Zbl 1132.78013 Langer, Ulrich; Pechstein, Clemens 3 2007 Inexact dual-primal isogeometric tearing and interconnecting methods. Zbl 1450.65166 Hofer, Christoph; Langer, Ulrich; Takacs, Stefan 3 2018 Multipatch space-time isogeometric analysis of parabolic diffusion problems. Zbl 1465.65099 Langer, U.; Neumüller, M.; Toulopoulos, I. 3 2018 Multigrid methods for the fast numerical simulation of coupled magnetomechanical systems. Zbl 0964.78019 Schinnerl, M.; Schöberl, J.; Kaltenbacher, M.; Langer, U.; Lerch, R. 2 2000 Fast adaptive domain decomposition algorithms for \(hp\)-discretizations of 2-\(D\) and 3-\(D\) elliptic equations: recent advances. Zbl 1069.65136 Korneev, V.; Langer, U.; Xanthis, L. 2 2003 The efficient parallel solution of PDEs. Zbl 0874.65094 Haase, G.; Langer, U. 2 1996 Fast boundary element methods in engineering and industrial applications. Zbl 1235.65005 2 2012 Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001 2 2013 Unstructured space-time finite element methods for optimal sparse control of parabolic equations. Zbl 1487.49004 Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong 2 2022 Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014 2 2012 Fast solvers and a posteriori error estimates in elastoplasticity. Zbl 06082197 Gruber, Peter G.; Kienesberger, Johanna; Langer, Ulrich; Schöberl, Joachim; Valdman, Jan 2 2012 An efficient method for the numerical simulation of magneto-mechanical sensors and actuators. Zbl 1167.74047 Schinnerl, M.; Kaltenbacher, M.; Langer, U.; Lerch, R.; Schöberl, J. 2 2007 Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Zbl 1130.65004 2 2008 Symbolic methods for the element preconditioning technique. Zbl 1019.68145 Langer, Ulrich; Reitzinger, Stefan; Schicho, Josef 2 2003 Mesh grading in isogeometric analysis. Zbl 1443.65356 Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis 2 2015 Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330 Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 2 2019 Multigoal-oriented optimal control problems with nonlinear PDE constraints. Zbl 1445.49012 Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W. 2 2020 BEM-based finite element tearing and interconnecting methods. Zbl 1327.65060 Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens 1 2015 Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Zbl 1422.65009 1 2019 Iterative solution of some schemes of the finite element method for elliptic equations of order 2n,n\(\geq 1\). Zbl 0561.65081 Langer, U. 1 1983 Robust finite element discretization and solvers for distributed elliptic optimal control problems. Zbl 07766473 Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong 3 2023 Robust discretization and solvers for elliptic optimal control problems with energy regularization. Zbl 1484.49048 Langer, Ulrich; Steinbach, Olaf; Yang, Huidong 3 2022 Adaptive space-time finite element methods for parabolic optimal control problems. Zbl 1527.65099 Langer, Ulrich; Schafelner, Andreas 3 2022 Unstructured space-time finite element methods for optimal sparse control of parabolic equations. Zbl 1487.49004 Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong 2 2022 Simultaneous space-time finite element methods for parabolic optimal control problems. Zbl 1487.49003 Langer, Ulrich; Schafelner, Andreas 1 2022 Unstructured space-time finite element methods for optimal control of parabolic equations. Zbl 1460.49002 Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong 11 2021 Space-time finite element discretization of parabolic optimal control problems with energy regularization. Zbl 1467.65094 Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong 8 2021 Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. Zbl 1476.65297 Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas 5 2021 Efficient direct space-time finite element solvers for parabolic initial-boundary value problems In anisotropic Sobolev spaces. Zbl 07379634 Langer, Ulrich; Zank, Marco 4 2021 Hierarchical DWR error estimates for the Navier-Stokes equations: \(h\) and \(p\) enrichment. Zbl 1470.65195 Endtmayer, B.; Langer, U.; Thiele, J. P.; Wick, T. 1 2021 Matrix-free multigrid solvers for phase-field fracture problems. Zbl 1506.74355 Jodlbauer, D.; Langer, U.; Wick, T. 18 2020 Two-side a posteriori error estimates for the dual-weighted residual method. Zbl 1440.65200 Endtmayer, B.; Langer, U.; Wick, T. 17 2020 Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. Zbl 1508.65130 Langer, Ulrich; Schafelner, Andreas 6 2020 Multigoal-oriented optimal control problems with nonlinear PDE constraints. Zbl 1445.49012 Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W. 2 2020 BDDC preconditioners for a space-time finite element discretization of parabolic problems. Zbl 1502.65102 Langer, Ulrich; Yang, Huidong 1 2020 Space-time finite element methods for parabolic initial-boundary value problems with non-smooth solutions. Zbl 1465.65098 Langer, Ulrich; Schafelner, Andreas 1 2020 Space-time methods. Applications to partial differential equations. Zbl 1425.65008 12 2019 Parallel and robust preconditioning for Space-Time isogeometric analysis of parabolic evolution problems. Zbl 1420.65022 Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Schneckenleitner, Rainer 9 2019 Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers. Zbl 1427.65404 Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis 8 2019 Space-time finite element methods for parabolic evolution problems with variable coefficients. Zbl 1433.65217 Langer, Ulrich; Neumüller, Martin; Schafelner, Andreas 8 2019 Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200 Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas 6 2019 Dual-primal isogeometric tearing and interconnecting methods. Zbl 1418.65130 Hofer, Christoph; Langer, Ulrich 5 2019 Guaranteed error bounds and local indicators for adaptive solvers using stabilised space-time IgA approximations to parabolic problems. Zbl 1443.65185 Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 5 2019 Adaptive space-time isogeometric analysis for parabolic evolution problems. Zbl 1453.65330 Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey 2 2019 Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Zbl 1422.65009 1 2019 Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems. Zbl 1394.35212 Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Toulopoulos, Ioannis 5 2018 Numerical simulation of fluid-structure interaction problems with hyperelastic models: a monolithic approach. Zbl 1485.74097 Langer, Ulrich; Yang, Huidong 5 2018 Inexact dual-primal isogeometric tearing and interconnecting methods. Zbl 1450.65166 Hofer, Christoph; Langer, Ulrich; Takacs, Stefan 3 2018 Multipatch space-time isogeometric analysis of parabolic diffusion problems. Zbl 1465.65099 Langer, U.; Neumüller, M.; Toulopoulos, I. 3 2018 Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185 Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, Boris N.; Langer, Ulrich 38 2017 Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations. Zbl 1439.65140 Hofer, Christoph; Langer, Ulrich 25 2017 Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004 9 2017 Space-time isogeometric analysis of parabolic evolution problems. Zbl 1436.76027 Langer, Ulrich; Moore, Stephen E.; Neumüller, Martin 39 2016 Discontinuous Galerkin isogeometric analysis of elliptic PDEs on surfaces. Zbl 1339.65219 Langer, Ulrich; Moore, Stephen E. 12 2016 Discontinuous Galerkin isogeometric analysis of elliptic diffusion problems on segmentations with gaps. Zbl 1352.65509 Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis 9 2016 Functional a posteriori error estimates for time-periodic parabolic optimal control problems. Zbl 1377.49029 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 8 2016 Multipatch discontinuous Galerkin isogeometric analysis. Zbl 1334.65194 Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis 42 2015 Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042 Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K. 37 2015 Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152 Langer, Ulrich; Toulopoulos, Ioannis 22 2015 Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282 Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, B. N.; Langer, Ulrich 18 2015 Dirichlet-Dirichlet domain decomposition methods for elliptic problems. \(h\) and \(hp\) finite element discretizations. Zbl 1323.65121 Korneev, Vadim Glebovich; Langer, Ulrich 10 2015 Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models. Zbl 1297.74039 Langer, Ulrich; Yang, Huidong 5 2015 Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Zbl 1330.65150 Langer, Ulrich; Repin, Sergey; Wolfmayr, Monika 4 2015 Mesh grading in isogeometric analysis. Zbl 1443.65356 Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Toulopoulos, Ioannis 2 2015 BEM-based finite element tearing and interconnecting methods. Zbl 1327.65060 Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens 1 2015 A robust finite element solver for a multiharmonic parabolic optimal control problem. Zbl 1319.49043 Kollmann, M.; Kolmbauer, M.; Langer, U.; Wolfmayr, M.; Zulehner, W. 16 2013 Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078 Langer, U.; Wolfmayr, M. 13 2013 Efficient solvers for some classes of time-periodic eddy current optimal control problems. Zbl 1291.78065 Kolmbauer, Michael; Langer, Ulrich 5 2013 Method of finite elements for engineers. An introduction to the numerical foundations and computer simulation. 2nd revised and extended ed. (Methode der finiten Elemente für Ingenieure. Eine Einführung in die numerischen Grundlagen und Computersimulation.) Zbl 1264.65001 Jung, Michael; Langer, Ulrich 4 2013 Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001 2 2013 A robust preconditioned MinRes solver for time periodic eddy current problems. Zbl 1284.35421 Kolmbauer, Michael; Langer, Ulrich 1 2013 A robust preconditioned minres solver for distributed time-periodic eddy current optimal control problems. Zbl 1258.49059 Kolmbauer, Michael; Langer, Ulrich 32 2012 A non-standard finite element method based on boundary integral operators. Zbl 1310.65146 Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens 5 2012 Topology optimization of electric machines based on topological sensitivity analysis. Zbl 1360.49036 Gangl, Peter; Langer, Ulrich 4 2012 Fast boundary element methods in engineering and industrial applications. Zbl 1235.65005 2 2012 Numerical and symbolic scientific computing. Progress and prospects. Zbl 1234.65014 2 2012 Fast solvers and a posteriori error estimates in elastoplasticity. Zbl 06082197 Gruber, Peter G.; Kienesberger, Johanna; Langer, Ulrich; Schöberl, Joachim; Valdman, Jan 2 2012 A frequency-robust solver for the time-harmonic eddy current problem. Zbl 1247.78040 Kolmbauer, Michael; Langer, Ulrich 1 2012 Domain decomposition solvers for frequency-domain finite element equations. Zbl 1217.65186 Copeland, Dylan; Kolmbauer, Michael; Langer, Ulrich 3 2011 Analysis of a non-standard finite element method based on boundary integral operators. Zbl 1205.65315 Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens 13 2010 Domain decomposition solvers for nonlinear multiharmonic finite element equations. Zbl 1204.65121 Copeland, D. M.; Langer, U. 4 2010 Boundary element simulation of linear water waves in a model basin. Zbl 1280.76022 Hofreither, Clemens; Langer, Ulrich; Tomar, Satyendra 1 2010 From the boundary element domain decomposition methods to local Trefftz finite element methods on polyhedral meshes. Zbl 1183.65158 Copeland, Dylan; Langer, Ulrich; Pusch, David 21 2009 Primal and dual interface concentrated iterative substructuring methods. Zbl 1180.65144 Beuchler, Sven; Eibner, Tino; Langer, Ulrich 3 2008 Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Zbl 1130.65004 2 2008 Boundary and finite element domain decomposition methods. Zbl 1157.65505 Langer, U. 1 2008 Inexact data-sparse boundary element tearing and interconnecting methods. Zbl 1133.65105 Langer, U.; Of, G.; Steinbach, O.; Zulehner, W. 14 2007 Coupled finite and boundary element domain decomposition methods. Zbl 1298.65189 Langer, Ulrich; Steinbach, Olaf 8 2007 Coupled FETI/BETI solvers for nonlinear potential problems in (un)bounded domains. Zbl 1132.78013 Langer, Ulrich; Pechstein, Clemens 3 2007 An efficient method for the numerical simulation of magneto-mechanical sensors and actuators. Zbl 1167.74047 Schinnerl, M.; Kaltenbacher, M.; Langer, U.; Lerch, R.; Schöberl, J. 2 2007 Efficient solvers for nonlinear time-periodic eddy current problems. Zbl 1512.78042 Bachinger, Florian; Langer, Ulrich; Schöberl, Joachim 8 2006 Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems. Zbl 1110.78009 Langer, U.; Pechstein, C. 7 2006 Comparison of geometrical and algebraic multigrid preconditioners for data-sparse boundary element matrices. Zbl 1142.65346 Langer, U.; Pusch, D. 5 2006 Eigenvalue problems in surface acoustic wave filter simulations. Zbl 1308.76252 Zaglmayr, S.; Schöberl, J.; Langer, Ulrich 3 2006 Numerical analysis of nonlinear multiharmonic eddy current problems. Zbl 1122.78016 Bachinger, F.; Langer, U.; Schöberl, J. 45 2005 Coupled boundary and finite element tearing and interconnecting methods. Zbl 1066.65136 Langer, Ulrich; Steinbach, Olaf 9 2005 Data-sparse algebraic multigrid methods for large scale boundary element equations. Zbl 1073.65135 Langer, U.; Pusch, D. 7 2005 Editorial: Special issue dedicated to George C. Hsiao on the occasion of his 70th birthday. Zbl 1512.00011 1 2005 Boundary element tearing and interconnecting methods. Zbl 1037.65123 Langer, U.; Steinbach, O. 35 2003 Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods. Zbl 1035.65144 Langer, U.; Pusch, D.; Reitzinger, S. 16 2003 On fast domain decomposition solving procedures for \(hp\)-discretizations of 3-D elliptic problems. Zbl 1038.65133 Korneev, V. G.; Langer, U.; Xanthis, L. S. 9 2003 A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121 Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich 8 2003 Fast adaptive domain decomposition algorithms for \(hp\)-discretizations of 2-\(D\) and 3-\(D\) elliptic equations: recent advances. Zbl 1069.65136 Korneev, V.; Langer, U.; Xanthis, L. 2 2003 Symbolic methods for the element preconditioning technique. Zbl 1019.68145 Langer, Ulrich; Reitzinger, Stefan; Schicho, Josef 2 2003 Symbolic and numerical scientific computation. Second international conference, SNSC 2001, Hagenberg, Austria, September 12–14, 2001. Revised papers. Zbl 1019.00016 1 2003 Multigrid methods: from geometrical to algebraic versions. Zbl 1054.65122 Haase, Gundolf; Langer, Ulrich; Reitzinger, Stefan 6 2002 Parallel multigrid 3D Maxwell solvers. Zbl 0969.65128 Haase, G.; Kuhn, M.; Langer, U. 11 2001 Algebraic multigrid methods based on element preconditioning. Zbl 1027.65169 Haase, G.; Langer, U.; Reitzinger, S.; Schoberl, J. 4 2001 Scientific computing tools for 3D magnetic field problems. Zbl 0983.78026 Kuhn, Michael; Langer, Ulrich; Schöberl, Joachim 7 2000 Multigrid methods for the fast numerical simulation of coupled magnetomechanical systems. Zbl 0964.78019 Schinnerl, M.; Schöberl, J.; Kaltenbacher, M.; Langer, U.; Lerch, R. 2 2000 Fast parallel solvers for symmetric boundary element domain decomposition equations. Zbl 0907.65119 Carstensen, C.; Kuhn, M.; Langer, U. 18 1998 Adaptive domain decomposition methods for finite and boundary element equations. Zbl 0884.65109 Haase, G.; Heise, B.; Kuhn, M.; Langer, U. 6 1997 The efficient parallel solution of PDEs. Zbl 0874.65094 Haase, G.; Langer, U. 2 1996 Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition. Zbl 0798.65110 Langer, U. 15 1994 Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners. Zbl 0849.65089 Haase, G.; Langer, U.; Meyer, A.; Nepomnyaschikh, S. V. 11 1994 Domain decomposition vs. adaptivity. Zbl 0813.65132 Haase, Gundolf; Langer, Ulrich 1 1994 Parallelization and preconditioning of the CG-method by means of domain decomposition. (Parallelisierung und Vorkonditionierung des CG-Verfahrens durch Gebietszerlegung.) Zbl 0797.65033 Haase, Gundolf; Langer, Ulrich; Meyer, Arnd 6 1993 The non-overlapping domain decomposition multiplicative Schwarz method. Zbl 0758.65024 Haase, Gundolf; Langer, Ulrich 8 1992 A fast solver for the first biharmonic boundary value problem. Zbl 0762.65055 Bahlmann, Dieter; Langer, Ulrich 1 1992 The approximate Dirichlet domain decomposition method. I: An algebraic approach. Zbl 0741.65091 Haase, G.; Langer, U.; Meyer, A. 19 1991 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 939 Authors 53 Langer, Ulrich 20 Steinbach, Olaf 18 Wick, Thomas 15 Jüttler, Bert 13 Axelsson, Axel Owe Holger 13 Sangalli, Giancarlo 12 Pechstein, Clemens 12 Tani, Mattia 11 Hofer, Christoph D. 11 Takacs, Stefan 11 Toulopoulos, Ioannis 11 Weißer, Steffen 10 Haase, Gundolf 10 Schöberl, Joachim 9 Mantzaflaris, Angelos 8 Beuchler, Sven 8 Tröltzsch, Fredi 8 Yang, Huidong 7 Reitzinger, Stefan 7 Repin, Sergeĭ Igorevich 7 Siebenborn, Martin 7 Stevenson, Rob P. 6 Korneev, Vadim Glebovich 6 Laurain, Antoine 6 Montardini, Monica 6 Nicaise, Serge 6 Of, Günther 6 Welker, Kathrin 6 Wolfmayr, Monika 6 Yousept, Irwin 5 Endtmayer, Bernhard 5 Gangl, Peter 5 Khoromskiĭ, Boris Nikolaevich 5 Kraus, Johannes K. 5 Liang, Zhaozheng 5 Neytcheva, Maya G. 5 Ovall, Jeffrey S. 5 Pinnau, René 5 Schneckenleitner, Rainer 5 Zank, Marco 5 Zou, Jun 4 Acevedo, Ramiro 4 Angelov, Todor Angelov 4 Bause, Markus 4 Blauth, Sebastian 4 Bouchala, Jiří 4 Chen, Falai 4 Claeys, Xavier 4 Dostál, Zdeněk 4 Führer, Thomas 4 Hiptmair, Ralf 4 Hofreither, Clemens 4 Hsiao, George Chia-Chu 4 Hughes, Thomas J. R. 4 Jung, Michael 4 Krause, Rolf H. 4 Leithäuser, Christian 4 Manohar, Ram P. 4 Moore, Stephen Edward 4 Neumüller, Martin 4 Pan, Maodong 4 Pan, Xingbin 4 Reynolds, Samuel E. 4 Sadowská, Marie 4 Schafelner, Andreas 4 Scheichl, Robert 4 Schöps, Sebastian 4 Sturm, Kevin 4 Wieners, Christian 4 Zhang, Guofeng 4 Zheng, Weiying 3 Blaheta, Radim 3 Bukač, Martina 3 Burman, Erik 3 Chouly, Franz 3 Eaton, Matthew D. 3 Elleithy, Wael M. 3 Evans, John A. 3 Geuzaine, Christophe A. 3 Harbrecht, Helmut 3 Heuer, Norbert 3 Jiang, Xue 3 Jonsson, Tobias 3 Kaltenbacher, Manfred 3 Kolmbauer, Michael 3 Kópházi, József 3 Kozubek, Tomas 3 Larson, Mats G. 3 Larsson, Karl 3 Ledger, Paul David 3 Loli, Gabriele 3 Lukáš, Dalibor 3 Mellado, Mario E. 3 Niyonzima, Innocent 3 Noii, Nima 3 Owens, A. R. 3 Perugia, Ilaria 3 Scholz, Felix 3 Schulz, Volker H. 3 Seboldt, Anyastassia ...and 839 more Authors all top 5 Cited in 117 Serials 86 Computer Methods in Applied Mechanics and Engineering 40 Computers & Mathematics with Applications 27 SIAM Journal on Scientific Computing 22 Journal of Computational Physics 21 Journal of Computational and Applied Mathematics 19 Computational Methods in Applied Mathematics 18 International Journal for Numerical Methods in Engineering 18 Numerische Mathematik 15 Computing 14 Computing and Visualization in Science 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Applied Numerical Mathematics 11 SIAM Journal on Numerical Analysis 11 Computational Mechanics 11 Numerical Linear Algebra with Applications 10 Journal of Scientific Computing 9 Mathematics of Computation 9 ZAMM. 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A. Solids 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Mathematical Control and Related Fields 2 Journal of Mathematics in Industry 1 Computers and Fluids 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 SIAM Journal on Control and Optimization 1 Advances in Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Parallel Computing 1 Optimization 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Engineering Computations 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 Differential Equations ...and 17 more Serials all top 5 Cited in 43 Fields 497 Numerical analysis (65-XX) 232 Partial differential equations (35-XX) 139 Mechanics of deformable solids (74-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 74 Optics, electromagnetic theory (78-XX) 63 Fluid mechanics (76-XX) 12 Computer science (68-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Operations research, mathematical programming (90-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 Potential theory (31-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Manifolds and cell complexes (57-XX) 4 Geophysics (86-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 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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