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Journal of Numerical Mathematics

Short Title: J. Numer. Math.
Publisher: De Gruyter, Berlin
ISSN: 1570-2820; 1569-3953/e
Online: http://www.degruyter.com/view/j/jnma
Predecessor: East-West Journal of Numerical Mathematics
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 342 Publications (since 2002)
References Indexed: 233 Publications with 6,187 References.
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32, No. 1 (2024)
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Authors

13 Hoppe, Ronald H. W.
9 Bangerth, Wolfgang
9 Maier, Matthias Sebastian
9 Turcksin, Bruno
8 Heister, Timo
8 Heltai, Luca
8 Kronbichler, Martin
7 Arndt, Daniel
7 Kuznetsov, Yurii Alekseevich
7 Pelteret, Jean-Paul
7 Rivière, Beatrice M.
6 Glowinski, Roland
6 Kanschat, Guido
6 Rannacher, Rolf
6 Repin, Sergeĭ Igorevich
6 Turek, Stefan
5 Carstensen, Carsten
5 Fehling, Marc
5 Girault, Vivette
5 Nicaise, Serge
4 Axelsson, Axel Owe Holger
4 Davydov, Denis
4 Feistauer, Miloslav
4 Gatica, Gabriel N.
4 Kadalbajoo, Mohan K.
4 Langer, Ulrich
4 Munch, Peter
4 Rebholz, Leo G.
4 Reusken, Arnold
4 Schieweck, Friedhelm
4 Suttmeier, Franz-Theo
3 Agouzal, Abdellatif
3 Borzì, Alfio
3 Burman, Erik
3 Chen, Hongsen
3 Gassmöller, Rene
3 Hackbusch, Wolfgang
3 Hecht, Frédéric
3 Khoromskiĭ, Boris Nikolaevich
3 Kuzmin, Dmitri
3 Lukáčová-Medviďová, Mária
3 Neilan, Michael
3 Pani, Amiya Kumar
3 Pasciak, Joseph E.
3 Ruiz-Baier, Ricardo
3 Seaïd, Mohammed
3 Steinbach, Olaf
3 Zhang, Shangyou
2 Bacuta, Constantin
2 Balázsová, Monika
2 Banda, Mapundi Kondwani
2 Benner, Peter
2 Blais, Bruno
2 Boglaev, Igor P.
2 Bonito, Andrea
2 Bramble, James H.
2 Caboussat, Alexandre
2 Cappanera, Loïc
2 Chen, Zhangxin
2 Clevenger, Thomas C.
2 Danczul, Tobias
2 Demyanko, Kirill V.
2 Dryja, Maksymilian
2 Eymard, Robert
2 Feder, Marco
2 Foss, Frederick J. II
2 Gerardo-Giorda, Luca
2 Guzmán, Johnny
2 Herbin, Raphaèle
2 Hinze, Michael
2 Hofreither, Clemens
2 Hussain, Malik Zawwar
2 Hutzenthaler, Martin
2 Ikhile, Monday Ndidi Oziegbe
2 Jankuhn, Thomas
2 Jentzen, Arnulf
2 Kamont, Zdzisław
2 Knyazev, Andrew V.
2 Kruse, Thomas
2 Kučera, Václav
2 Kumar, Devendra
2 Li, Cuixia
2 Lipnikov, Konstantin N.
2 Meddahi, Salim
2 Meszmer, Peter
2 Moore, Peter K.
2 Nataf, Frédéric
2 Nechepurenko, Yuri M.
2 Neittaanmäki, Pekka J.
2 Novati, Paolo
2 Okuonghae, Robert I.
2 Ouazzi, Abderrahim
2 Owolabi, Kolade Matthew
2 Rabus, Hella
2 Şahin, Niyazi
2 Schroder, Andreas
2 She, Bangwei
2 Sobotíková, Veronika
2 Šolín, Pavel
2 Soualem, Nadir
...and 475 more Authors

Publications by Year

Citations contained in zbMATH Open

271 Publications have been cited 3,514 times in 3,176 Documents Cited by Year
New development in freefem++. Zbl 1266.68090
Hecht, F.
2012
The deal.II library, version 8.4. Zbl 1348.65187
Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David
100
2016
The deal.II library, version 9.0. Zbl 1410.65363
Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
59
2018
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010
Çeşmelioğlu, A.; Rivière, B.
52
2008
The deal.II library, version 8.5. Zbl 1375.65148
Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
52
2017
The deal.II library, Version 9.1. Zbl 1435.65010
Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
48
2019
A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065
Chung, Eric; Lee, C. S.
45
2012
Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035
Hackbusch, W.; Khoromskij, B. N.; Tyrtyshnikov, E. E.
43
2005
Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems. Zbl 1056.65076
Linß, T.
39
2004
The deal.II library, version 9.2. Zbl 1452.65222
Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David
34
2020
The deal.II library, Version 9.3. Zbl 1478.65004
Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi
33
2021
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
29
2002
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
28
2017
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
28
2009
\(A\)-stable discontinuous Galerkin-Petrov time discretization of higher order. Zbl 1198.65093
Schieweck, F.
27
2010
A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077
Roos, H.-G.; Zarin, H.
27
2002
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
26
2019
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 1457.65190
Ciarlet, P. jun.
25
2013
A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049
Günther, A.; Hinze, M.
24
2008
Duality-based adaptivity in the \(hp\)-finite element method. Zbl 1050.65111
Heuveline, V.; Rannacher, R.
23
2003
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
Mohammadi, Masoumeh; Borzì, Alfio
23
2015
Convergence and stability of finite element modified method of characteristics for the incompressible Navier-Stokes equations. Zbl 1120.76038
El-Amrani, M.; Seaid, M.
22
2007
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
22
2018
A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070
Hoppe, R. H. W.; Kieweg, M.
22
2009
A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066
Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H.
22
2006
Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems. Zbl 1059.65083
Feistauer, M.; Švadlenka, K.
21
2004
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
20
2010
The deal.II library, version 9.4. Zbl 07590497
Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David
20
2022
The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943
Of, G.; Steinbach, O.
19
2009
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
19
2019
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
19
2010
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
19
2013
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
18
2011
Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. Zbl 1099.65108
Guzmán, J.
18
2006
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
18
2013
Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544
Carstensen, C.; Klose, R.
17
2002
Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030
Turek, S.; Ouazzi, A.
17
2007
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana
17
2017
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
17
2020
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
16
2003
Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008
Carstensen, C.; Hoppe, R. H. W.
16
2005
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
16
2005
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123
Kanschat, G.; Rannacher, R.
16
2002
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
Owolabi, Kolade M.
16
2017
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
15
2014
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
15
2003
Higher-order relaxation schemes for hyperbolic systems of conservation laws. Zbl 1084.65076
Banda, M. K.; Seaid, M.
14
2005
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
14
2012
Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire
14
2017
\(L_{2}\) error estimates for a nonstandard finite element method on polyhedral meshes. Zbl 1222.65119
Hofreither, C.
13
2011
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331
Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E.
13
2017
On improvement of the iterated Galerkin solution of the second kind integral equations. Zbl 1088.65115
Kulkarni, R. P.
13
2005
Efficient MHD Riemann solvers for simulations on unstructured triangular grids. Zbl 1037.76038
Wesenberg, M.
13
2002
A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation. Zbl 1302.65237
Sweilam, N. H.; Moharram, H.; Moniem, N. K. Abdel; Ahmed, S.
13
2014
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078
Langer, U.; Wolfmayr, M.
13
2013
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
12
2009
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
12
2005
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112
Gerardo-Giorda, L.; Nataf, F.
12
2005
Distributed optimal control of lambda-omega systems. Zbl 1104.65063
Borzì, A.; Griesse, R.
12
2006
Approximating eigenvalues of discontinuous problems by sampling theorems. Zbl 1160.65039
Annaby, M. H.; Asharabi, R. M.
12
2008
Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
12
2015
Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147
Xu, X.; Chen, H.; Hoppe, R. H. W.
11
2010
A variable order wavelet method for the sparse representation of layer potentials in the non-standard form. Zbl 1063.65133
Tausch, J.
11
2004
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
11
2014
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
11
2012
Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331
Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas
11
2019
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
10
2002
Analysis of two-scale finite volume element method for elliptic problem. Zbl 1067.65124
Ginting, V.
10
2004
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
10
2014
On a discrete Hessian recovery for \(P_1\) finite elements. Zbl 1010.65009
Agouzal, A.; Vassilevski, Yu.
10
2002
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
10
2015
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
10
2018
Error control in \(h\)- and \(hp\)-adaptive FEM for Signorini’s problem. Zbl 1423.74919
Schröder, A.
9
2009
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
9
2015
An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064
Caboussat, A.; Glowinski, R.; Pons, V.
9
2009
Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054
Repin, S.; Valdman, J.
9
2008
A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194
Du, Guangzhi; Zuo, Liyun
9
2021
Modeling rational spline for visualization of shaped data. Zbl 1267.65019
Sarfraz, M.; Hussain, M. Z.; Hussain, M.
9
2013
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
9
2018
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
Hošek, Radim; She, Bangwei
9
2018
Adapted explicit two-step peer methods. Zbl 1476.65127
Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
9
2019
Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl equation. Zbl 1135.65015
Ibragimov, I.; Rjasanow, S.; Straube, K.
8
2007
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
8
2017
Nonconforming spectral/\(hp\) element methods for elliptic systems. Zbl 1170.65334
Kumar, N. K.; Dutt, P. K.; Upadhyay, C. S.
8
2009
Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. Zbl 1177.65092
Hesse, H. K.; Kanschat, G.
8
2009
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
8
2003
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
8
2016
Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239
Layton, William; McLaughlin, Michael
8
2020
A polynomial chaos approach to stochastic variational inequalities. Zbl 1220.65082
Forster, R.; Kornhuber, R.
8
2010
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209
Gatica, Gabriel N.; Meddahi, Salim
8
2020
\(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177
Lehrenfeld, Christoph; Reusken, Arnold
8
2019
Estimating the control error in discretized PDE-constrained optimization. Zbl 1127.65038
Becker, R.
7
2006
Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. Zbl 1232.65164
Barker, A. T.; Brenner, S. C.; Sung, L.-Y.
7
2011
On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078
Yüzbaşi, Ş.; Şahin, N.
7
2012
An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems. Zbl 1069.65132
Tran, T.; Stephan, E. P.
7
2004
Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144
Neilan, Michael
7
2017
Solving \(0=F(t,y(t),y'(t))\) in Matlab. Zbl 1019.65044
Shampine, L. F.
7
2002
Error analysis of higher order trace finite element methods for the surface Stokes equation. Zbl 1491.65142
Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander
7
2021
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154
Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia
7
2016
A note on the efficient evaluation of a modified Hilbert transformation. Zbl 1471.65154
Steinbach, Olaf; Zank, Marco
7
2021
An all Mach number finite volume method for isentropic two-phase flow. Zbl 07745016
Lukáčová-Medvid’ová, Mária; Puppo, Gabriella; Thomann, Andrea
6
2023
Transformed primal-dual methods for nonlinear saddle point systems. Zbl 07775695
Chen, Long; Wei, Jingrong
2
2023
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations. Zbl 1515.65025
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Tuan Anh Nguyen
2
2023
New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. Zbl 07775697
Gatica, Gabriel N.; Núñez, Nicolás; Ruiz-Baier, Ricardo
1
2023
An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations. Zbl 07711456
Jha, Abhinav; Pártl, Ondřej; Ahmed, Naveed; Kuzmin, Dmitri
1
2023
A structure preserving front tracking finite element method for the Mullins-Sekerka problem. Zbl 07711459
Nürnberg, Robert
1
2023
Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. Zbl 07745017
Alla, Alessandro; Monti, Angela; Sgura, Ivonne
1
2023
The deal.II library, version 9.4. Zbl 07590497
Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David
20
2022
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi
4
2022
On rational Krylov and reduced basis methods for fractional diffusion. Zbl 1490.65266
Danczul, Tobias; Hofreither, Clemens
3
2022
Adaptive space-time finite element methods for parabolic optimal control problems. Zbl 1527.65099
Langer, Ulrich; Schafelner, Andreas
3
2022
An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow. Zbl 07542956
Ingimarson, Sean
2
2022
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures. Zbl 1490.65283
Márquez, Antonio; Meddahi, Salim
2
2022
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1527.92002
Garcke, Harald; Trautwein, Dennis
2
2022
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. Zbl 1527.76032
Gatica, Gabriel N.; Inzunza, Cristian; Ruiz-Baier, Ricardo; Sandoval, Felipe
2
2022
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. Zbl 1491.65126
Burman, Erik; Puppi, Riccardo
1
2022
A \(C^0\)-conforming DG finite element method for biharmonic equations on triangle/tetrahedron. Zbl 1517.65121
Ye, Xiu; Zhang, Shangyou
1
2022
The deal.II library, Version 9.3. Zbl 1478.65004
Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi
33
2021
A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194
Du, Guangzhi; Zuo, Liyun
9
2021
Error analysis of higher order trace finite element methods for the surface Stokes equation. Zbl 1491.65142
Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander
7
2021
A note on the efficient evaluation of a modified Hilbert transformation. Zbl 1471.65154
Steinbach, Olaf; Zank, Marco
7
2021
A reduced basis method for fractional diffusion operators. II. Zbl 1491.65131
Danczul, Tobias; Schöberl, Joachim
7
2021
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
6
2021
Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228
Kuzmin, Dmitri
6
2021
Boundary update via resolvent for fluid-structure interaction. Zbl 1476.65164
Bukač, Martina; Trenchea, Catalin
5
2021
Collocated finite-volume method for the incompressible Navier-Stokes problem. Zbl 1473.65146
Terekhov, Kirill M.
5
2021
A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
5
2021
Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. Zbl 1481.65253
Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich
3
2021
Acceleration of nonlinear solvers for natural convection problems. Zbl 1495.65174
Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying
3
2021
Matrix equation solving of PDEs in polygonal domains using conformal mappings. Zbl 1495.65199
Hao, Yue; Simoncini, Valeria
1
2021
Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source. Zbl 1472.65099
Díaz-Adame, Roberto; Jerez, Silvia
1
2021
Relative error analysis of matrix exponential approximations for numerical integration. Zbl 1473.65052
Maset, Stefano
1
2021
The deal.II library, version 9.2. Zbl 1452.65222
Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David
34
2020
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
17
2020
Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239
Layton, William; McLaughlin, Michael
8
2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209
Gatica, Gabriel N.; Meddahi, Salim
8
2020
A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088
Liao, Cheng; Huang, Pengzhan; He, Yinnian
6
2020
Reduced basis approximations of the solutions to spectral fractional diffusion problems. Zbl 1452.65324
Bonito, Andrea; Guignard, Diane; Zhang, Ashley R.
4
2020
Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336
Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M.
3
2020
The Fourier-finite-element method for Poisson’s equation in three-dimensional axisymmetric domains with edges: computing the edge flux intensity functions. Zbl 1448.35117
Nkemzi, Boniface; Jung, Michael
2
2020
The deal.II library, Version 9.1. Zbl 1435.65010
Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
48
2019
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
26
2019
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
19
2019
Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331
Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas
11
2019
Adapted explicit two-step peer methods. Zbl 1476.65127
Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
9
2019
\(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177
Lehrenfeld, Christoph; Reusken, Arnold
8
2019
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
6
2019
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan
5
2019
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
4
2019
Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. Zbl 1416.65464
Russell, Stephen; Stynes, Martin
4
2019
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. Zbl 1458.65129
Voulis, Igor; Reusken, Arnold
3
2019
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130
Yadav, Sangita; Pani, Amiya K.
3
2019
A tight nonlinear approximation theory for time dependent closed quantum systems. Zbl 1461.81033
Jerome, Joseph W.
1
2019
Convergence of explicitly coupled simulation tools (co-simulations). Zbl 07059685
Moshagen, Thilo
1
2019
The deal.II library, version 9.0. Zbl 1410.65363
Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
59
2018
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
22
2018
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
10
2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
9
2018
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
Hošek, Radim; She, Bangwei
9
2018
An approximation scheme for the Kantorovich-Rubinstein problem on compact spaces. Zbl 1394.49030
Lorena Avendaño-Garrido, Martha; Gabriel-Argüelles, J. Rigoberto; Quintana, Ligia-Torres; González-Hernández, Juan
4
2018
Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions. Zbl 1470.92253
Owolabi, Kolade; Pindza, Edson
3
2018
A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. Zbl 1410.65424
Sharma, Natasha; Kanschat, Guido
2
2018
Error estimates for higher-order finite volume schemes for convection-diffusion problems. Zbl 1432.76176
Kröner, Dietmar; Rokyta, Mirko
1
2018
A note on distributionally robust optimization under moment uncertainty. Zbl 06989836
Liu, Qiang; Wu, Jia; Xiao, Xiantao; Zhang, Liwei
1
2018
The deal.II library, version 8.5. Zbl 1375.65148
Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
52
2017
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
28
2017
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana
17
2017
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
Owolabi, Kolade M.
16
2017
Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire
14
2017
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331
Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E.
13
2017
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
8
2017
Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144
Neilan, Michael
7
2017
Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term. Zbl 1375.65129
Wu, Shu-Lin
6
2017
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050
He, Xin; Vuik, Cornelis; Klaij, Christiaan
4
2017
Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation. Zbl 1362.65069
Zhang, Bo; Chen, Jixin; Yang, Danping
4
2017
A new approach to constructing vector splitting schemes in mixed finite element method for parabolic problems. Zbl 1362.65108
Voronin, Kirill; Laevsky, Yuri
1
2017
The deal.II library, version 8.4. Zbl 1348.65187
Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David
100
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
8
2016
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154
Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia
7
2016
Qualitative analysis and numerical solution of Burgers’ equation via B-spline collocation with implicit Euler method on piecewise uniform mesh. Zbl 1339.65148
Gupta, Vikas; Kadalbajoo, Mohan K.
6
2016
A direct algorithm in some free boundary problems. Zbl 1352.65168
Murea, Cornel M.; Tiba, Dan
4
2016
Error analysis of finite element and finite volume methods for some viscoelastic fluids. Zbl 1338.76059
Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei; Stebel, Jan
3
2016
Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090
Maier, Matthias; Rannacher, Rolf
3
2016
Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
2
2016
Curvature approximation of circular arcs by low-degree parametric polynomials. Zbl 1338.65029
Kovač, Boštjan; Žagar, Emil
2
2016
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033
Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan
1
2016
A priori error analysis for optimal distributed control problem governed by the first order linear hyperbolic equation: hp-streamline diffusion discontinuous Galerkin method. Zbl 1357.49122
Xiong, Chunguang; Luo, Fusheng; Ma, Xiuling; Li, Yu’an
1
2016
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
Mohammadi, Masoumeh; Borzì, Alfio
23
2015
Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
12
2015
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
10
2015
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
9
2015
Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168
Badea, Lori
6
2015
On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168
Balázsová, Monika; Feistauer, Miloslav; Hadrava, Martin; Kosík, Adam
6
2015
Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228
Yousept, Irwin
5
2015
Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237
Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte
5
2015
Pythagorean-hodograph cycloidal curves. Zbl 1328.65053
Kozak, Jernej; Krajnc, Marjeta; Rogina, Mladen; Vitrih, Vito
5
2015
Chebyshev polynomials and best approximation of some classes of functions. Zbl 1323.41027
Eslahchi, Mohammad R.; Dehghan, Mehdi; Amani, Sanaz
4
2015
Convergence and error estimation of homotopy analysis method for some type of nonlinear and linear integral equations. Zbl 1328.65272
Hetmaniok, Edyta; Nowak, Iwona; Słota, Damian; Wituła, Roman
4
2015
A multipoint Birkhoff type boundary value problem. Zbl 1321.65119
Costabile, Francesco A.; Napoli, Anna
3
2015
Quasi-optimal convergence of AFEM based on separate marking. I. Zbl 1330.65162
Rabus, Hella
3
2015
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Cited by 4,172 Authors

36 Shang, Yueqiang
33 Gatica, Gabriel N.
33 Wick, Thomas
28 Seaïd, Mohammed
27 Oyarzúa, Ricardo
25 Rebholz, Leo G.
24 Caucao, Sergio
22 Allaire, Grégoire
22 Burman, Erik
22 He, Yinnian
22 Kronbichler, Martin
21 El-Amrani, Mofdi
20 Chung, Tsz Shun Eric
20 Sayah, Toni
20 Si, Zhiyong
20 Sinha, Rajen Kumar
19 Langer, Ulrich
18 Axelsson, Axel Owe Holger
18 Du, Guangzhi
18 Dumbser, Michael
18 Heltai, Luca
18 Khoromskiĭ, Boris Nikolaevich
18 Zheng, Haibiao
17 Hecht, Frédéric
17 Huang, Pengzhan
17 Jiang, Yaolin
17 Jolivet, Pierre
17 Perotto, Simona
17 Zhu, Shengfeng
16 Hou, Yanren
16 Vohralík, Martin
16 Wollner, Winnifried
16 Yotov, Ivan
15 Guillén González, Francisco M.
15 Kaya, Songul
15 Maier, Matthias Sebastian
15 Repin, Sergeĭ Igorevich
15 Yang, Yunbo
14 Chacón Rebollo, Tomás
14 He, Xiaoming
14 Nataf, Frédéric
13 Bause, Markus
13 Borzì, Alfio
13 Çibik, Aytekin Bayram
13 Girault, Vivette
13 Lee, Sanghyun
13 Owolabi, Kolade Matthew
13 Quarteroni, Alfio M.
13 Rivière, Beatrice M.
13 Rubino, Samuele
13 Tournier, Pierre-Henri
13 Yakoubi, Driss
12 Bangerth, Wolfgang
12 Dapogny, Charles
12 Dede’, Luca
12 Feng, Xinlong
12 Hackbusch, Wolfgang
12 Han, Daozhi
12 Heister, Timo
12 Hoppe, Ronald H. W.
12 Jiang, Nan
12 Marquet, Olivier
12 Münch, Arnaud
12 Steinmann, Paul
12 Turek, Stefan
12 Wang, Xiaoming
12 Wheeler, Mary Fanett
11 An, Rong
11 Assous, Franck
11 Bernardi, Christine
11 Bukač, Martina
11 Carstensen, Carsten
11 Conte, Dajana
11 Feistauer, Miloslav
11 Gómez Mármol, Macarena
11 Linke, Alexander
11 Maday, Yvon
11 Olshanskii, Maxim A.
11 Sipp, Denis
11 Wall, Wolfgang A.
10 Al Mahbub, Md. Abdullah
10 Arndt, Daniel
10 Bonito, Andrea
10 Dolejší, Vít
10 Gander, Martin Jakob
10 Glowinski, Roland
10 Hutzenthaler, Martin
10 John, Volker
10 Kanschat, Guido
10 Köcher, Uwe
10 Layton, William J.
10 Mena, Hermann
10 Micheletti, Stefano
10 Novo, Julia
10 Pelteret, Jean-Paul
10 Turcksin, Bruno
10 Wang, Yunxia
10 Yamada, Takayuki
10 Zuo, Liyun
9 Ahmed, Naveed
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197 Computer Methods in Applied Mechanics and Engineering
166 Journal of Computational Physics
159 Computers & Mathematics with Applications
158 Journal of Scientific Computing
152 Journal of Computational and Applied Mathematics
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88 Applied Mathematics and Computation
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79 Journal of Fluid Mechanics
66 SIAM Journal on Numerical Analysis
65 Numerical Methods for Partial Differential Equations
63 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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48 Journal of Numerical Mathematics
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33 Calcolo
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13 ETNA. Electronic Transactions on Numerical Analysis
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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12 Computing
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11 SIAM Journal on Matrix Analysis and Applications
11 Computing and Visualization in Science
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10 Applied Mathematics and Optimization
10 SIAM Journal on Control and Optimization
10 Russian Journal of Numerical Analysis and Mathematical Modelling
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8 Linear Algebra and its Applications
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7 GAMM-Mitteilungen
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6 International Journal for Numerical Methods in Fluids
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6 Turkish Journal of Mathematics
6 Foundations of Computational Mathematics
6 Advances in Difference Equations
6 Boundary Value Problems
5 Acta Applicandae Mathematicae
5 Journal of Integral Equations and Applications
5 Computational Mathematics and Mathematical Physics
5 Journal of Mathematical Sciences (New York)
5 Abstract and Applied Analysis
5 Journal of Mathematical Fluid Mechanics
5 European Journal of Mechanics. B. Fluids
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Acta Numerica
5 SIAM Journal on Imaging Sciences
5 GEM - International Journal on Geomathematics
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5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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