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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: 318 Publications (since 2002)
References Indexed: 209 Publications with 5,010 References.
all top 5

Authors

13 Hoppe, Ronald H. W.
8 Bangerth, Wolfgang
8 Maier, Matthias Sebastian
8 Turcksin, Bruno
7 Heister, Timo
7 Heltai, Luca
7 Kronbichler, Martin
7 Kuznetsov, Yurii Alekseevich
7 Rivière, Beatrice M.
6 Arndt, Daniel
6 Glowinski, Roland
6 Kanschat, Guido
6 Pelteret, Jean-Paul
6 Rannacher, Rolf
6 Repin, Sergeĭ Igorevich
6 Turek, Stefan
5 Girault, Vivette
5 Nicaise, Serge
4 Axelsson, Axel Owe Holger
4 Carstensen, Carsten
4 Davydov, Denis
4 Fehling, Marc
4 Kadalbajoo, Mohan K.
4 Rebholz, Leo G.
4 Schieweck, Friedhelm
4 Suttmeier, Franz-Theo
3 Agouzal, Abdellatif
3 Borzì, Alfio
3 Chen, Hongsen
3 Feistauer, Miloslav
3 Gassmöller, Rene
3 Hackbusch, Wolfgang
3 Hecht, Frédéric
3 Khoromskiĭ, Boris Nikolaevich
3 Langer, Ulrich
3 Munch, Peter
3 Pani, Amiya Kumar
3 Pasciak, Joseph E.
3 Reusken, Arnold
3 Seaïd, Mohammed
3 Steinbach, Olaf
2 Bacuta, Constantin
2 Banda, Mapundi Kondwani
2 Benner, Peter
2 Blais, Bruno
2 Boglaev, Igor P.
2 Bonito, Andrea
2 Bramble, James H.
2 Burman, Erik
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 Foss, Frederick J. II
2 Gatica, Gabriel N.
2 Gerardo-Giorda, Luca
2 Herbin, Raphaèle
2 Hinze, Michael
2 Hiptmair, Ralf
2 Hofreither, Clemens
2 Hussain, Malik Zawwar
2 Ikhile, Monday Ndidi Oziegbe
2 Kamont, Zdzisław
2 Knyazev, Andrew V.
2 Kučera, Václav
2 Kumar, Devendra
2 Kuzmin, Dmitri
2 Li, Cuixia
2 Lipnikov, Konstantin N.
2 Lukáčová-Medvid’ová, Mária
2 Meddahi, Salim
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 Rabus, Hella
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.
...and 419 more Authors

Publications by Year

Citations contained in zbMATH Open

247 Publications have been cited 2,653 times in 2,437 Documents Cited by Year
New development in freefem++. Zbl 1266.68090
Hecht, F.
923
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
73
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
45
2017
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
45
2018
A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065
Chung, Eric; Lee, C. S.
42
2012
Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035
Hackbusch, W.; Khoromskij, B. N.; Tyrtyshnikov, E. E.
40
2005
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010
Çeşmelioğlu, A.; Rivière, B.
39
2008
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
34
2019
Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems. Zbl 1056.65076
Linß, T.
30
2004
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
25
2009
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
24
2002
Duality-based adaptivity in the \(hp\)-finite element method. Zbl 1050.65111
Heuveline, V.; Rannacher, R.
23
2003
\(A\)-stable discontinuous Galerkin-Petrov time discretization of higher order. Zbl 1198.65093
Schieweck, F.
22
2010
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
Mohammadi, Masoumeh; Borzì, Alfio
21
2015
A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049
Günther, A.; Hinze, M.
21
2008
Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems. Zbl 1059.65083
Feistauer, M.; Švadlenka, K.
20
2004
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
19
2017
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
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
19
2020
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
18
2018
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
17
2011
A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077
Roos, H.-G.; Zarin, H.
17
2002
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
17
2010
Convergence and stability of finite element modified method of characteristics for the incompressible Navier-Stokes equations. Zbl 1120.76038
El-Amrani, M.; Seaid, M.
16
2007
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.
16
2006
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
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
16
2019
The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943
Of, G.; Steinbach, O.
15
2009
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
15
2003
Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544
Carstensen, C.; Klose, R.
15
2002
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
15
2013
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
14
2013
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
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
14
2005
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
Owolabi, Kolade M.
14
2017
Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030
Turek, S.; Ouazzi, A.
14
2007
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
14
2019
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123
Kanschat, G.; Rannacher, R.
14
2002
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 1457.65190
Ciarlet, P. jun.
14
2013
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078
Langer, U.; Wolfmayr, M.
13
2013
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
13
2010
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
13
2014
Efficient MHD Riemann solvers for simulations on unstructured triangular grids. Zbl 1037.76038
Wesenberg, M.
13
2002
Higher-order relaxation schemes for hyperbolic systems of conservation laws. Zbl 1084.65076
Banda, M. K.; Seaid, M.
13
2005
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
12
2020
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
12
2017
Distributed optimal control of lambda-omega systems. Zbl 1104.65063
Borzì, A.; Griesse, R.
12
2006
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
11
2012
Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. Zbl 1099.65108
Guzmán, J.
11
2006
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.
11
2010
On improvement of the iterated Galerkin solution of the second kind integral equations. Zbl 1088.65115
Kulkarni, R. P.
11
2005
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
11
2012
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.
11
2014
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
10
2009
A variable order wavelet method for the sparse representation of layer potentials in the non-standard form. Zbl 1063.65133
Tausch, J.
10
2004
On a discrete Hessian recovery for \(P_1\) finite elements. Zbl 1010.65009
Agouzal, A.; Vassilevski, Yu.
10
2002
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
10
2002
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
10
2005
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
9
2015
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
\(L_{2}\) error estimates for a nonstandard finite element method on polyhedral meshes. Zbl 1222.65119
Hofreither, C.
9
2011
Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054
Repin, S.; Valdman, J.
9
2008
Analysis of two-scale finite volume element method for elliptic problem. Zbl 1067.65124
Ginting, V.
9
2004
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112
Gerardo-Giorda, L.; Nataf, F.
9
2005
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
9
2014
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.
8
2017
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
8
2015
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
8
2014
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
Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl equation. Zbl 1135.65015
Ibragimov, I.; Rjasanow, S.; Straube, K.
8
2007
Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
7
2015
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
Error control in \(h\)- and \(hp\)-adaptive FEM for Signorini’s problem. Zbl 1423.74919
Schröder, A.
7
2009
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
Hošek, Radim; She, Bangwei
7
2018
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
7
2018
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.
6
2013
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
Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168
Badea, Lori
6
2015
On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078
Yüzbaşi, Ş.; Şahin, N.
6
2012
Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. Zbl 1177.65092
Hesse, H. K.; Kanschat, G.
6
2009
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
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
6
2016
Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097
Caffarelli, L. A.; Glowinski, R.
6
2008
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
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
6
2003
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
6
2018
Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation. Zbl 1099.76520
Turek, S.; Ouazzi, A.; Schmachtel, R.
6
2002
Solving \(0=F(t,y(t),y'(t))\) in Matlab. Zbl 1019.65044
Shampine, L. F.
6
2002
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
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.
6
2012
A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088
Liao, Cheng; Huang, Pengzhan; He, Yinnian
5
2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209
Gatica, Gabriel N.; Meddahi, Salim
5
2020
A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194
Du, Guangzhi; Zuo, Liyun
5
2021
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
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
1
2022
A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194
Du, Guangzhi; Zuo, Liyun
5
2021
Collocated finite-volume method for the incompressible Navier-Stokes problem. Zbl 1473.65146
Terekhov, Kirill M.
4
2021
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
4
2021
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
3
2021
Boundary update via resolvent for fluid-structure interaction. Zbl 1476.65164
Bukač, Martina; Trenchea, Catalin
2
2021
A note on the efficient evaluation of a modified Hilbert transformation. Zbl 1471.65154
Steinbach, Olaf; Zank, Marco
2
2021
A reduced basis method for fractional diffusion operators. II. Zbl 1491.65131
Danczul, Tobias; Schöberl, Joachim
2
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
2
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
2
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
2
2021
Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228
Kuzmin, Dmitri
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
19
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
12
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
5
2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209
Gatica, Gabriel N.; Meddahi, Salim
5
2020
Reduced basis approximations of the solutions to spectral fractional diffusion problems. Zbl 1452.65324
Bonito, Andrea; Guignard, Diane; Zhang, Ashley R.
3
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.
2
2020
Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239
Layton, William; McLaughlin, 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
34
2019
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
16
2019
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
14
2019
Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331
Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas
5
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
Adapted explicit two-step peer methods. Zbl 1476.65127
Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
4
2019
\(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177
Lehrenfeld, Christoph; Reusken, Arnold
4
2019
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
4
2019
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
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 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
3
2019
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. Zbl 1458.65129
Voulis, Igor; Reusken, Arnold
2
2019
Convergence of explicitly coupled simulation tools (co-simulations). Zbl 07059685
Moshagen, Thilo
1
2019
A tight nonlinear approximation theory for time dependent closed quantum systems. Zbl 1461.81033
Jerome, Joseph W.
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
45
2018
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
18
2018
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
Hošek, Radim; She, Bangwei
7
2018
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
7
2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
6
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
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
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
45
2017
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
19
2017
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
Owolabi, Kolade M.
14
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
12
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 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.
8
2017
Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144
Neilan, Michael
5
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
5
2017
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
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
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
73
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
6
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
5
2016
A direct algorithm in some free boundary problems. Zbl 1352.65168
Murea, Cornel M.; Tiba, Dan
4
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.
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
Curvature approximation of circular arcs by low-degree parametric polynomials. Zbl 1338.65029
Kovač, Boštjan; Žagar, Emil
1
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
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
Mohammadi, Masoumeh; Borzì, Alfio
21
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
8
2015
Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
7
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
5
2015
Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228
Yousept, Irwin
5
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 Newton-like method for computing deflating subspaces. Zbl 1328.65086
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
3
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
3
2015
Pythagorean-hodograph cycloidal curves. Zbl 1328.65053
Kozak, Jernej; Krajnc, Marjeta; Rogina, Mladen; Vitrih, Vito
3
2015
A relaxed splitting preconditioner for saddle point problems. Zbl 1328.65077
Li, Cui-Xia; Wu, Shi-Liang; Huang, Ai-Qun
3
2015
A multipoint Birkhoff type boundary value problem. Zbl 1321.65119
Costabile, Francesco A.; Napoli, Anna
3
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 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
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
A well-balanced solver for the Saint Venant equations with variable cross-section. Zbl 1319.65085
Borsche, Raul
1
2015
Quasi-optimal convergence of AFEM based on separate marking. II. Zbl 1330.65163
Rabus, Hella
1
2015
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
13
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.
11
2014
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
9
2014
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
8
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.
4
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
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
Second derivative GLM with nearly ARK stability. Zbl 1294.65077
Okuonghae, R. I.; Ikhile, M. N. O.
1
2014
Polyhedral Gauß-Seidel converges. Zbl 1310.65072
Gräser, C.; Sander, O.
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
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
15
2013
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
14
2013
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Cited by 3,329 Authors

25 Wick, Thomas
24 Shang, Yueqiang
23 Gatica, Gabriel N.
21 Oyarzúa, Ricardo
20 Rebholz, Leo G.
20 Seaïd, Mohammed
19 Allaire, Grégoire
19 Chung, Tsz Shun Eric
19 Kronbichler, Martin
18 Burman, Erik
18 Khoromskiĭ, Boris Nikolaevich
17 Axelsson, Axel Owe Holger
16 He, Yinnian
16 Si, Zhiyong
16 Sinha, Rajen Kumar
16 Vohralík, Martin
15 Repin, Sergeĭ Igorevich
14 Dumbser, Michael
14 El-Amrani, Mofdi
14 Langer, Ulrich
14 Sayah, Toni
13 Guillén González, Francisco M.
13 He, Xiaoming
13 Heltai, Luca
13 Hou, Yanren
13 Jolivet, Pierre
13 Lee, Sanghyun
13 Perotto, Simona
13 Wollner, Winnifried
13 Yotov, Ivan
12 Chacón Rebollo, Tomás
12 Hackbusch, Wolfgang
12 Hecht, Frédéric
12 Nataf, Frédéric
12 Owolabi, Kolade Matthew
12 Zheng, Haibiao
11 Bernardi, Christine
11 Carstensen, Carsten
11 Caucao, Sergio
11 Dapogny, Charles
11 Girault, Vivette
11 Han, Daozhi
11 Huang, Pengzhan
11 Jiang, Yaolin
11 Kaya, Songul
11 Linke, Alexander
11 Wheeler, Mary Fanett
11 Yang, Yunbo
10 An, Rong
10 Borzì, Alfio
10 Çibik, Aytekin Bayram
10 Du, Guangzhi
10 Feistauer, Miloslav
10 Gómez Mármol, Macarena
10 Heister, Timo
10 Hoppe, Ronald H. W.
10 Maday, Yvon
10 Maier, Matthias Sebastian
10 Marquet, Olivier
10 Rubino, Samuele
10 Turek, Stefan
9 Ahmed, Naveed
9 Arndt, Daniel
9 Boglaev, Igor P.
9 Dolejší, Vít
9 Gander, Martin Jakob
9 Glowinski, Roland
9 Kuznetsov, Yurii Alekseevich
9 Layton, William J.
9 Münch, Arnaud
9 Rivière, Beatrice M.
9 Schieweck, Friedhelm
9 Tavelli, Maurizio
9 Tyrtyshnikov, Evgeniĭ Evgen’evich
9 Wall, Wolfgang A.
9 Wang, Xiaoming
9 Zuo, Liyun
8 Annunziato, Mario
8 Assous, Franck
8 Bangerth, Wolfgang
8 Bause, Markus
8 Dolean, Victorita
8 Feng, Xinlong
8 Grigori, Laura
8 Hutzenthaler, Martin
8 Jiang, Nan
8 Matthies, Gunar
8 Mena, Hermann
8 Micheletti, Stefano
8 Olshanskii, Maxim A.
8 Pelteret, Jean-Paul
8 Praetorius, Dirk
8 Steinmann, Paul
8 Tierra, Giordano
8 Turcksin, Bruno
8 Valdman, Jan
8 Yakoubi, Driss
8 Zhu, Shengfeng
7 Asharabi, Rashad M.
7 Bacuta, Constantin
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Cited in 278 Journals

140 Computer Methods in Applied Mechanics and Engineering
127 Journal of Computational Physics
125 Journal of Computational and Applied Mathematics
124 Journal of Scientific Computing
120 Computers & Mathematics with Applications
82 Applied Numerical Mathematics
79 Applied Mathematics and Computation
76 Numerische Mathematik
75 SIAM Journal on Scientific Computing
67 Journal of Fluid Mechanics
50 SIAM Journal on Numerical Analysis
49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
42 Mathematics of Computation
40 Numerical Algorithms
37 Journal of Numerical Mathematics
35 Computational Methods in Applied Mathematics
34 Numerical Methods for Partial Differential Equations
27 Calcolo
26 Journal of Mathematical Analysis and Applications
24 Computational Optimization and Applications
24 Advances in Computational Mathematics
22 Mathematics and Computers in Simulation
20 Computational and Applied Mathematics
19 Advances in Applied Mathematics and Mechanics
18 Computers and Fluids
17 Inverse Problems
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 International Journal of Computer Mathematics
16 Computational Mechanics
15 BIT
15 International Journal for Numerical Methods in Engineering
15 Multiscale Modeling & Simulation
14 Computational Geosciences
13 Applicable Analysis
13 Applied Mathematical Modelling
12 Computing
12 Numerical Functional Analysis and Optimization
12 Applied Mathematics Letters
12 Applications of Mathematics
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal of Applied Mathematics and Computing
12 International Journal of Numerical Analysis and Modeling
11 Mathematical Methods in the Applied Sciences
11 SIAM Journal on Applied Mathematics
11 Engineering Analysis with Boundary Elements
10 Communications in Computational Physics
9 Journal of Optimization Theory and Applications
9 SIAM Journal on Control and Optimization
9 SIAM Journal on Matrix Analysis and Applications
9 ETNA. Electronic Transactions on Numerical Analysis
9 Russian Journal of Numerical Analysis and Mathematical Modelling
9 Discrete and Continuous Dynamical Systems. Series B
9 Inverse Problems in Science and Engineering
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Applied Mathematics and Optimization
8 Linear Algebra and its Applications
8 S\(\vec{\text{e}}\)MA Journal
7 Journal of Mathematical Biology
7 Chaos, Solitons and Fractals
7 Japan Journal of Industrial and Applied Mathematics
7 Numerical Linear Algebra with Applications
7 Mathematical Problems in Engineering
7 Mathematics and Mechanics of Solids
7 Computing and Visualization in Science
7 Communications in Nonlinear Science and Numerical Simulation
6 International Journal for Numerical Methods in Fluids
6 Journal of Differential Equations
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Mathematical Modelling and Analysis
6 International Journal of Computational Methods
6 Advances in Difference Equations
6 Discrete and Continuous Dynamical Systems. Series S
6 SMAI Journal of Computational Mathematics
6 Communications on Applied Mathematics and Computation
5 SIAM Journal on Mathematical Analysis
5 Turkish Journal of Mathematics
5 International Journal of Computational Fluid Dynamics
5 Abstract and Applied Analysis
5 European Journal of Mechanics. B. Fluids
5 Journal of Applied Mathematics
5 Acta Numerica
5 Boundary Value Problems
5 Inverse Problems and Imaging
5 Mathematical Control and Related Fields
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Chinese Annals of Mathematics. Series B
4 Journal of Computational Mathematics
4 Journal of Integral Equations and Applications
4 Computational Mathematics and Mathematical Physics
4 Calculus of Variations and Partial Differential Equations
4 Journal of Mathematical Sciences (New York)
4 Journal of Difference Equations and Applications
4 Journal of Mathematical Fluid Mechanics
4 Optimization and Engineering
4 Foundations of Computational Mathematics
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Communications on Pure and Applied Analysis
4 Mathematical Modelling of Natural Phenomena
4 SIAM Journal on Imaging Sciences
4 GEM - International Journal on Geomathematics
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277 Calculus of variations and optimal control; optimization (49-XX)
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22 Statistics (62-XX)
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17 Information and communication theory, circuits (94-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Dynamical systems and ergodic theory (37-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Quantum theory (81-XX)
7 Special functions (33-XX)
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