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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: Indexed cover-to-cover
Documents Indexed: 298 Publications (since 2002)
References Indexed: 189 Publications with 4,208 References.
all top 5

Authors

13 Hoppe, Ronald H. W.
7 Kuznetsov, Yurii Alekseevich
6 Bangerth, Wolfgang
6 Glowinski, Roland
6 Kanschat, Guido
6 Maier, Matthias Sebastian
6 Rannacher, Rolf
6 Repin, Sergeĭ Igorevich
6 Rivière, Beatrice M.
6 Turcksin, Bruno
5 Heister, Timo
5 Heltai, Luca
5 Kronbichler, Martin
5 Nicaise, Serge
4 Arndt, Daniel
4 Axelsson, Axel Owe Holger
4 Carstensen, Carsten
4 Davydov, Denis
4 Kadalbajoo, Mohan K.
4 Pelteret, Jean-Paul
4 Schieweck, Friedhelm
4 Suttmeier, Franz-Theo
4 Turek, Stefan
3 Agouzal, Abdellatif
3 Chen, Hongsen
3 Feistauer, Miloslav
3 Girault, Vivette
3 Hackbusch, Wolfgang
3 Langer, Ulrich
3 Pasciak, Joseph E.
3 Rebholz, Leo G.
3 Seaïd, Mohammed
3 Steinbach, Olaf
2 Bacuta, Constantin
2 Banda, Mapundi Kondwani
2 Benner, Peter
2 Boglaev, Igor P.
2 Bonito, Andrea
2 Borzì, Alfio
2 Bramble, James H.
2 Caboussat, Alexandre
2 Chen, Zhangxin
2 Clevenger, Thomas C.
2 Demyanko, Kirill V.
2 Dryja, Maksymilian
2 Eymard, Robert
2 Fehling, Marc
2 Foss, F. J. II.
2 Gatica, Gabriel N.
2 Gerardo-Giorda, Luca
2 Hecht, Frédéric
2 Herbin, Raphaèle
2 Hinze, Michael
2 Hiptmair, Ralf
2 Hussain, Malik Zawwar
2 Ikhile, Monday Ndidi Oziegbe
2 Kamont, Zdzisław
2 Kučera, Václav
2 Kumar, Devendra
2 Li, Cuixia
2 Lipnikov, Konstantin N.
2 Lukáčová-Medvid’ová, Mária
2 Meszmer, Peter
2 Moore, Peter K.
2 Nataf, Frédéric
2 Nechepurenko, Yuri M.
2 Neilan, Michael
2 Neittaanmäki, Pekka J.
2 Novati, Paolo
2 Okuonghae, Robert I.
2 Ouazzi, Abderrahim
2 Owolabi, Kolade Matthew
2 Pani, Amiya Kumar
2 Rabus, Hella
2 Reusken, Arnold
2 Şahin, Niyazi
2 Schroder, Andreas
2 She, Bangwei
2 Sobotíková, Veronika
2 Šolín, Pavel
2 Soualem, Nadir
2 Sweilam, Nasser Hassan
2 Vassilevski, Yuri V.
2 Vihharev, Jevgeni
2 Xu, Jinchao
2 Yüzbaşı, Şuayip
2 Zhou, Zhaojie
2 Zikatanov, Ludmil T.
1 Aarnes, Jørg E.
1 Abdi, Ali
1 Achchab, A.
1 Alonso-Mallo, Isaías
1 Alzetta, Giovanni
1 Amani, Sanaz
1 An, Rong
1 Angelova, Ivanka Tr.
1 Annaby, Mahmoud H.
1 Antil, Harbir
1 Anton, François
1 Apel, Thomas
...and 380 more Authors

Publications by Year

Citations contained in zbMATH Open

222 Publications have been cited 2,150 times in 1,984 Documents Cited by Year
New development in freefem++. Zbl 1266.68090
Hecht, F.
728
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
69
2016
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
40
2017
Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035
Hackbusch, W.; Khoromskij, B. N.; Tyrtyshnikov, E. E.
38
2005
A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065
Chung, Eric; Lee, C. S.
37
2012
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010
Çeşmelioğlu, A.; Rivière, B.
29
2008
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
27
2018
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
24
2019
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
22
2002
Duality-based adaptivity in the \(hp\)-finite element method. Zbl 1050.65111
Heuveline, V.; Rannacher, R.
22
2003
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
21
2009
Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems. Zbl 1056.65076
Linß, T.
20
2004
A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049
Günther, A.; Hinze, M.
20
2008
\(A\)-stable discontinuous Galerkin-Petrov time discretization of higher order. Zbl 1198.65093
Schieweck, F.
19
2010
A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070
Hoppe, R. H. W.; Kieweg, M.
19
2009
Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems. Zbl 1059.65083
Feistauer, M.; Švadlenka, K.
18
2004
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
Mohammadi, Masoumeh; Borzì, Alfio
17
2015
A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077
Roos, H.-G.; Zarin, H.
16
2002
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
16
2018
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
15
2011
The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943
Of, G.; Steinbach, O.
15
2009
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
15
2010
Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544
Carstensen, C.; Klose, R.
15
2002
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.
14
2006
Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008
Carstensen, C.; Hoppe, R. H. W.
14
2005
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123
Kanschat, G.; Rannacher, R.
14
2002
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
14
2003
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
Owolabi, Kolade M.
14
2017
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078
Langer, U.; Wolfmayr, M.
13
2013
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
13
2005
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
13
2003
Higher-order relaxation schemes for hyperbolic systems of conservation laws. Zbl 1084.65076
Banda, M. K.; Seaid, M.
13
2005
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
13
2017
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 1457.65190
Ciarlet, P. jun.
12
2013
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
12
2010
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
12
2013
Distributed optimal control of lambda-omega systems. Zbl 1104.65063
Borzì, A.; Griesse, R.
12
2006
Efficient MHD Riemann solvers for simulations on unstructured triangular grids. Zbl 1037.76038
Wesenberg, M.
12
2002
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
12
2019
Convergence and stability of finite element modified method of characteristics for the incompressible Navier-Stokes equations. Zbl 1120.76038
El-Amrani, M.; Seaid, M.
12
2007
Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030
Turek, S.; Ouazzi, A.
12
2007
Approximating eigenvalues of discontinuous problems by sampling theorems. Zbl 1160.65039
Annaby, M. H.; Asharabi, R. M.
11
2008
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.
10
2010
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
10
2012
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
10
2014
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
9
2009
Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. Zbl 1099.65108
Guzmán, J.
9
2006
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
9
2005
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112
Gerardo-Giorda, L.; Nataf, F.
9
2005
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.
9
2014
A variable order wavelet method for the sparse representation of layer potentials in the non-standard form. Zbl 1063.65133
Tausch, J.
9
2004
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
9
2002
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
9
2015
Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054
Repin, S.; Valdman, J.
9
2008
Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire
9
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
9
2017
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
9
2012
\(L_{2}\) error estimates for a nonstandard finite element method on polyhedral meshes. Zbl 1222.65119
Hofreither, C.
8
2011
An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064
Caboussat, A.; Glowinski, R.; Pons, V.
8
2009
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
8
2013
Analysis of two-scale finite volume element method for elliptic problem. Zbl 1067.65124
Ginting, V.
8
2004
On improvement of the iterated Galerkin solution of the second kind integral equations. Zbl 1088.65115
Kulkarni, R. P.
8
2005
On a discrete Hessian recovery for \(P_1\) finite elements. Zbl 1010.65009
Agouzal, A.; Vassilevski, Yu.
8
2002
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 07089643
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
8
2019
Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl equation. Zbl 1135.65015
Ibragimov, I.; Rjasanow, S.; Straube, K.
8
2007
Error control in \(h\)- and \(hp\)-adaptive FEM for Signorini’s problem. Zbl 1423.74919
Schröder, A.
7
2009
Nonconforming spectral/\(hp\) element methods for elliptic systems. Zbl 1170.65334
Kumar, N. K.; Dutt, P. K.; Upadhyay, C. S.
7
2009
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
Modeling rational spline for visualization of shaped data. Zbl 1267.65019
Sarfraz, M.; Hussain, M. Z.; Hussain, M.
7
2013
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
7
2014
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
7
2014
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
7
2015
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.
7
2017
Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. Zbl 1177.65092
Hesse, H. K.; Kanschat, G.
6
2009
A polynomial chaos approach to stochastic variational inequalities. Zbl 1220.65082
Forster, R.; Kornhuber, R.
6
2010
Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122
Hoppe, R. H. W.; Wu, H.; Zhang, Z.
6
2010
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.
6
2004
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. Zbl 1029.65124
Droniou, J.
6
2003
Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094
Chen, H.; Chen, Z.
6
2003
Estimating the control error in discretized PDE-constrained optimization. Zbl 1127.65038
Becker, R.
6
2006
Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form. Zbl 1125.65078
Boglaev, I.
6
2006
On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078
Yüzbaşi, Ş.; Şahin, N.
6
2012
Moving meshes with freefem\(++\). Zbl 1426.76243
Decoene, A.; Maury, B.
5
2012
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.
5
2012
\(L^{\infty } (L^{2})\)-error estimates for the DGFEM applied to convection-diffusion problems on nonconforming meshes. Zbl 1171.65064
Feistauer, M.; Dolejší, V.; Kučera, V.; Sobotíková, V.
5
2009
A new non-interior continuation method for second-order cone programming. Zbl 1288.65088
Tang, J.; He, G.; Fang, L.
5
2013
Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
5
2015
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
5
2003
Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation. Zbl 1099.76520
Turek, S.; Ouazzi, A.; Schmachtel, R.
5
2002
Improved discretization error estimates for first-order system least squares. Zbl 1044.65078
Manteuffel, T.; McCormick, S.; Pflaum, C.
5
2003
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
5
2015
A multilevel precondition for generalized finite element method problems on unstructured simplicial meshes. Zbl 1156.65095
Cho, D.; Zikatanov, L.
5
2007
Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097
Caffarelli, L. A.; Glowinski, R.
5
2008
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
5
2018
Approximations with piece-wise constant fluxes for diffusion equations. Zbl 1241.65100
Kuznetsov, Yu. A.
5
2011
A posteriori error majorants for approximations of the evolutionary Stokes problem. Zbl 1203.65164
Neittaanmäki, P.; Repin, S.
4
2010
Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. Zbl 1196.65171
Carstensen, C.; Hoppe, R. H. W.
4
2009
Preconditioned iterative methods for algebraic saddle-point problems. Zbl 1169.65027
Kuznetsov, Yu.
4
2009
A proof of the well posedness of discretized wave equation with an absorbing boundary condition. Zbl 1309.65095
Alonso-Mallo, I.; Portillo, A. M.
4
2014
Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228
Yousept, Irwin
4
2015
A note on the efficient evaluation of a modified Hilbert transformation. Zbl 07347665
Steinbach, Olaf; Zank, Marco
1
2021
A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088
Liao, Cheng; Huang, Pengzhan; He, Yinnian
2
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 07347658
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
2
2020
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
1
2020
Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239
Layton, William; McLaughlin, Michael
1
2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 07347659
Gatica, Gabriel N.; Meddahi, Salim
1
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
24
2019
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
12
2019
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 07089643
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
8
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
Dual weighted residual error estimation for the finite cell method. Zbl 07089647
Stolfo, Paolo Di; Rademacher, Andreas; Schröder, Andreas
3
2019
Adapted explicit two-step peer methods. Zbl 07089644
Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
2
2019
\(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177
Lehrenfeld, Christoph; Reusken, Arnold
2
2019
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
2
2019
A tight nonlinear approximation theory for time dependent closed quantum systems. Zbl 1461.81033
Jerome, Joseph W.
1
2019
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. Zbl 1458.65129
Voulis, Igor; Reusken, Arnold
1
2019
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130
Yadav, Sangita; Pani, Amiya K.
1
2019
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
1
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
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
27
2018
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
16
2018
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
5
2018
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
Hošek, Radim; She, Bangwei
4
2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
3
2018
Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions. Zbl 06899099
Owolabi, Kolade; Pindza, Edson
1
2018
A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. Zbl 1410.65424
Sharma, Natasha; Kanschat, Guido
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
40
2017
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
Owolabi, Kolade M.
14
2017
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
13
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
9
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
9
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.
7
2017
Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144
Neilan, Michael
4
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
3
2017
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
3
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
2
2017
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050
He, Xin; Vuik, Cornelis; Klaij, Christiaan
2
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
69
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
4
2016
A direct algorithm in some free boundary problems. Zbl 1352.65168
Murea, Cornel M.; Tiba, Dan
4
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
3
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
2
2016
Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
1
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
Curvature approximation of circular arcs by low-degree parametric polynomials. Zbl 1338.65029
Kovač, Boštjan; Žagar, Emil
1
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.
1
2016
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
Mohammadi, Masoumeh; Borzì, Alfio
17
2015
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
9
2015
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
7
2015
Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
5
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
5
2015
Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228
Yousept, Irwin
4
2015
Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168
Badea, Lori
4
2015
Chebyshev polynomials and best approximation of some classes of functions. Zbl 1323.41027
Eslahchi, Mohammad R.; Dehghan, Mehdi; Amani, Sanaz
3
2015
Quasi-optimal convergence of AFEM based on separate marking. I. Zbl 1330.65162
Rabus, Hella
3
2015
A Newton-like method for computing deflating subspaces. Zbl 1328.65086
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
3
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
3
2015
A multipoint Birkhoff type boundary value problem. Zbl 1321.65119
Costabile, Francesco A.; Napoli, Anna
2
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
2
2015
Pythagorean-hodograph cycloidal curves. Zbl 1328.65053
Kozak, Jernej; Krajnc, Marjeta; Rogina, Mladen; Vitrih, Vito
2
2015
A relaxed splitting preconditioner for saddle point problems. Zbl 1328.65077
Li, Cui-Xia; Wu, Shi-Liang; Huang, Ai-Qun
2
2015
Finite element analysis of the stationary power-law Stokes equations driven by friction boundary conditions. Zbl 1330.76066
Djoko, Jules K.; Mbehou, Mohamed
1
2015
Unified error bounds for all Newton-Cotes quadrature rules. Zbl 1321.65038
Masjed-Jamei, Mohammad
1
2015
Quasi-optimal convergence of AFEM based on separate marking. II. Zbl 1330.65163
Rabus, Hella
1
2015
A nonmonotone inexact smoothing Newton-type method for \(P_{0}\)-NCP based on a parametric complementarity function. Zbl 1328.90099
Fang, Liang; Tang, Jingyong; Hu, Yunhong
1
2015
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
10
2014
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.
9
2014
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
7
2014
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
7
2014
A proof of the well posedness of discretized wave equation with an absorbing boundary condition. Zbl 1309.65095
Alonso-Mallo, I.; Portillo, A. M.
4
2014
Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations. Zbl 1302.65138
Hoppe, R. H. W.; Liu, Zhuo
3
2014
A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations. Zbl 1303.65095
Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K.
2
2014
Hierarchical quadrature for multidimensional singular integrals. II. Zbl 1294.65035
Meszmer, P.
1
2014
A posteriori control of modelling and discretization errors for quasi periodic solutions. Zbl 1294.65091
Braack, M.; Taschenberger, N.
1
2014
On the best approximate (\(P,Q\))-orthogonal symmetric and skew-symmetric solution of the matrix equation \(AXB=C\). Zbl 1303.65031
Sarduvan, M.; Şimşek, S.; Özdemir, H.
1
2014
An additive subspace preconditioning method for the iterative solution of some problems with extreme contrasts in coefficients. Zbl 1309.65034
Axelsson, O.
1
2014
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078
Langer, U.; Wolfmayr, M.
13
2013
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 1457.65190
Ciarlet, P. jun.
12
2013
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
12
2013
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
8
2013
Modeling rational spline for visualization of shaped data. Zbl 1267.65019
Sarfraz, M.; Hussain, M. Z.; Hussain, M.
7
2013
A new non-interior continuation method for second-order cone programming. Zbl 1288.65088
Tang, J.; He, G.; Fang, L.
5
2013
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144
Kuznetsov, Yu. A.; Repin, S. I.
3
2013
A class of hybrid linear multistep methods with \(A(\alpha)\)-stability properties for stiff IVPs in ODEs. Zbl 1282.65084
Okuonghae, R. I.; Ikhile, M. N. O.
3
2013
A parameter uniform method for singularly perturbed differential-difference equations with small shifts. Zbl 1270.65038
Kumar, D.; Kadalbajoo, M. K.
2
2013
Mixed spherical harmonic-generalized Laguerre spectral method for the Navier-Stokes equations. Zbl 1426.76516
Zhang, X.-Y.
1
2013
New development in freefem++. Zbl 1266.68090
Hecht, F.
728
2012
A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065
Chung, Eric; Lee, C. S.
37
2012
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
10
2012
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
9
2012
On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078
Yüzbaşi, Ş.; Şahin, N.
6
2012
Moving meshes with freefem\(++\). Zbl 1426.76243
Decoene, A.; Maury, B.
5
2012
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.
5
2012
Implementation of a low-order mimetic elements in freefem++. Zbl 1267.65127
Dalal, D.; Hecht, F.; Pironneau, O.
3
2012
Numerical approximations for singularly perturbed differential-difference BVPs with layer and oscillatory behavior. Zbl 1259.65107
Kumar, D.; Kadalbajoo, M. K.
3
2012
Solution of 2D Boussinesq systems with freefem\(++\): the flat bottom case. Zbl 1426.76301
Sadaka, G.
2
2012
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. Zbl 1247.78051
Carstensen, C.; Praetorius, D.
2
2012
Fictitious domain method to model a movable rigid body in a sound wave. Zbl 1426.76271
Imbert, D.; McNamara, S.
1
2012
A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings. Zbl 1426.76323
Zhang, Y.; Danaila, I.
1
2012
...and 122 more Documents
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Cited by 2,767 Authors

21 Gatica, Gabriel N.
20 Wick, Thomas
19 Rebholz, Leo G.
18 Chung, Tsz Shun Eric
18 Oyarzúa, Ricardo
18 Shang, Yueqiang
16 Khoromskij, Boris N.
16 Seaïd, Mohammed
15 Burman, Erik
15 Repin, Sergeĭ Igorevich
15 Vohralík, Martin
14 Allaire, Grégoire
14 Axelsson, Axel Owe Holger
13 Dumbser, Michael
13 Langer, Ulrich
13 Lee, Sanghyun
12 Guillén González, Francisco M.
12 Hackbusch, Wolfgang
12 Kronbichler, Martin
12 Si, Zhiyong
11 Carstensen, Carsten
11 He, Xiaoming
11 Hou, Yanren
11 Nataf, Frédéric
11 Owolabi, Kolade Matthew
11 Wheeler, Mary Fanett
11 Wollner, Winnifried
11 Yang, Yunbo
10 Bernardi, Christine
10 Dapogny, Charles
10 El-Amrani, Mofdi
10 Feistauer, Miloslav
10 Hecht, Frédéric
10 Hoppe, Ronald H. W.
10 Jiang, Yaolin
10 Linke, Alexander
10 Maday, Yvon
10 Perotto, Simona
10 Sinha, Rajen Kumar
10 Yotov, Ivan
10 Zheng, Haibiao
9 An, Rong
9 Boglaev, Igor P.
9 Chacón Rebollo, Tomás
9 Dolejší, Vít
9 Gander, Martin Jakob
9 Gómez Mármol, Macarena
9 Han, Daozhi
9 Heltai, Luca
9 Jolivet, Pierre
9 Kaya, Songul
9 Münch, Arnaud
9 Rubino, Samuele
9 Sayah, Toni
9 Schieweck, Friedhelm
9 Tyrtyshnikov, Evgeniĭ Evgen’evich
9 Wang, Xiaoming
8 Ahmed, Naveed
8 Borzì, Alfio
8 Çibik, Aytekin Bayram
8 Dolean, Victorita
8 Glowinski, Roland
8 Grigori, Laura
8 He, Yinnian
8 Heister, Timo
8 Kuznetsov, Yurii Alekseevich
8 Layton, William J.
8 Matthies, Gunar
8 Mena, Hermann
8 Tavelli, Maurizio
8 Turek, Stefan
8 Valdman, Jan
7 Arndt, Daniel
7 Bacuta, Constantin
7 Bause, Markus
7 Caucao, Sergio
7 Chen, Yanping
7 Girault, Vivette
7 Jiang, Nan
7 Kim, Hyea Hyun
7 Le Borne, Sabine
7 Lipnikov, Konstantin N.
7 Maier, Matthias Sebastian
7 Marquet, Olivier
7 Micheletti, Stefano
7 Pironneau, Olivier
7 Praetorius, Dirk
7 Rodríguez Galván, José Rafael
7 Schroder, Andreas
7 Wall, Wolfgang A.
7 Xiao, Jinyou
6 Annunziato, Mario
6 Asharabi, Rashad M.
6 Bangerth, Wolfgang
6 Bhrawy, Ali Hassan
6 Brenner, Susanne Cecelia
6 Bukač, Martina
6 Choo, Jinhyun
6 Colmenares, Eligio
6 Davydov, Denis
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Cited in 239 Journals

112 Journal of Computational and Applied Mathematics
109 Computer Methods in Applied Mechanics and Engineering
102 Journal of Computational Physics
101 Journal of Scientific Computing
97 Computers & Mathematics with Applications
74 Applied Numerical Mathematics
69 Numerische Mathematik
66 SIAM Journal on Scientific Computing
63 Applied Mathematics and Computation
48 Journal of Fluid Mechanics
44 SIAM Journal on Numerical Analysis
40 Mathematics of Computation
37 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
34 Numerical Methods for Partial Differential Equations
31 Numerical Algorithms
29 Journal of Numerical Mathematics
23 Computational Optimization and Applications
22 Journal of Mathematical Analysis and Applications
22 Calcolo
22 Computational Methods in Applied Mathematics
20 Advances in Computational Mathematics
17 Mathematics and Computers in Simulation
17 Advances in Applied Mathematics and Mechanics
16 Computers and Fluids
16 Inverse Problems
15 BIT
15 International Journal for Numerical Methods in Engineering
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Computational Mechanics
13 Computational Geosciences
12 Computing
12 Numerical Functional Analysis and Optimization
12 Computational and Applied Mathematics
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Mathematical Methods in the Applied Sciences
11 Applications of Mathematics
11 Applied Mathematical Modelling
10 Engineering Analysis with Boundary Elements
10 Multiscale Modeling & Simulation
9 SIAM Journal on Control and Optimization
9 International Journal of Computer Mathematics
9 SIAM Journal on Applied Mathematics
9 Journal of Applied Mathematics and Computing
8 Applicable Analysis
8 ETNA. Electronic Transactions on Numerical Analysis
8 Discrete and Continuous Dynamical Systems. Series B
8 S\(\vec{\text{e}}\)MA Journal
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Optimization Theory and Applications
7 SIAM Journal on Matrix Analysis and Applications
7 Japan Journal of Industrial and Applied Mathematics
7 Linear Algebra and its Applications
7 Numerical Linear Algebra with Applications
7 Russian Journal of Numerical Analysis and Mathematical Modelling
7 Mathematical Problems in Engineering
7 Computing and Visualization in Science
7 Inverse Problems in Science and Engineering
6 International Journal for Numerical Methods in Fluids
6 Applied Mathematics and Optimization
5 Journal of Differential Equations
5 Mathematics and Mechanics of Solids
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Acta Numerica
5 Advances in Difference Equations
5 Boundary Value Problems
5 Inverse Problems and Imaging
5 Discrete and Continuous Dynamical Systems. Series S
5 SMAI Journal of Computational Mathematics
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4 Chaos, Solitons and Fractals
4 Chinese Annals of Mathematics. Series B
4 Applied Mathematics Letters
4 Journal of Integral Equations and Applications
4 SIAM Journal on Mathematical Analysis
4 Journal of Mathematical Sciences (New York)
4 Turkish Journal of Mathematics
4 Abstract and Applied Analysis
4 Journal of Mathematical Fluid Mechanics
4 European Journal of Mechanics. B. Fluids
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Applied Mathematics
4 Communications on Pure and Applied Analysis
4 International Journal of Computational Methods
4 International Journal of Numerical Analysis and Modeling
4 Mathematical Modelling of Natural Phenomena
4 GEM - International Journal on Geomathematics
4 Mathematical Control and Related Fields
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 Results in Applied Mathematics
3 Acta Mechanica
3 Indian Journal of Pure & Applied Mathematics
3 Journal of Engineering Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Applicandae Mathematicae
3 Acta Mathematicae Applicatae Sinica. English Series
3 Calculus of Variations and Partial Differential Equations
3 Complexity
3 Optimization Methods & Software
3 Journal of Inequalities and Applications
3 Chaos
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796 Partial differential equations (35-XX)
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8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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