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Computational Methods in Applied Mathematics

Short Title: Comput. Methods Appl. Math.
Publisher: De Gruyter, Berlin
ISSN: 1609-4840; 1609-9389/e
Online: http://www.degruyter.com/view/j/cmam
Comments: Indexed cover-to-cover
Documents Indexed: 715 Publications (since 2001)
References Indexed: 295 Publications with 9,014 References.
all top 5

Authors

23 Makarov, Volodymyr Leonidovych
21 Gavrilyuk, Ivan P.
21 Matus, Pëtr Paŭlavich
16 Vabishchevich, Pëtr Nikolaevich
13 Khoromskiĭ, Boris Nikolaevich
12 Repin, Sergeĭ Igorevich
12 Shishkin, Grigoriĭ Ivanovich
9 Carstensen, Carsten
9 Stynes, Martin
8 Čiegis, Raimondas
8 Emmrich, Etienne
8 Führer, Thomas
8 Jovanović, Boško S.
8 Langer, Ulrich
8 Praetorius, Dirk
7 Hemker, Pieter W.
7 Lazarov, Raytcho D.
7 Nicaise, Serge
7 Thomée, Vidar
6 Bertrand, Fleurianne
6 Brenner, Susanne Cecelia
6 Ern, Alexandre
6 Gudi, Thirupathi
6 Heuer, Norbert
6 Hoppe, Ronald H. W.
6 Nataraj, Neela
6 Roos, Hans-Görg
5 Demkowicz, Leszek F.
5 Gaspar, Francisco José
5 Khoromskaia, Venera
5 Lapin, Aleksandr Vasil’evich
5 O’Riordan, Eugene
5 Oseledets, Ivan V.
5 Shishkina, Lidia P.
5 Vassilevski, Panayot Spirov
5 Xenophontos, Christos A.
5 Zlotnik, Alexander A.
4 Assous, Franck
4 Braack, Malte
4 Chuiko, Mikhail
4 Di Pietro, Daniele Antonio
4 Dond, Asha K.
4 Droniou, Jérôme
4 Eigel, Martin
4 Ford, Neville J.
4 Gulin, Alexei V.
4 Hermann, Martin
4 Iliev, Oleg P.
4 Kanschat, Guido
4 Karkulik, Michael
4 Lazurchak, I. I.
4 Lemeshevskiǐ, S. V.
4 Linß, Torsten
4 Lisbona Cortés, Francisco Javier
4 Sarkis, Marcus V.
4 Sauter, Stefan A.
4 Seaïd, Mohammed
4 Shahmorad, Sedaghat
4 Stevenson, Rob P.
4 Wick, Thomas
4 Xu, Xuejun
3 Boffi, Daniele
3 Delić, Aleksandra
3 Dorfler, Willy
3 Dryja, Maksymilian
3 Eymard, Robert
3 Gallistl, Dietmar
3 George, Santhosh
3 Glowinski, Roland
3 Gracia, José Luis
3 Grigorieff, Rolf Dieter
3 Harju, Markus
3 Herty, Michael Matthias
3 Hu, Jun
3 Huang, Zhongyi
3 Jiang, Nan
3 Jovanovich, B. S.
3 Korneev, Vadim Glebovich
3 Kraus, Johannes K.
3 Kutniv, Myroslav V.
3 Lapinska-Chrzczonowicz, Magdalena
3 Mahale, Pallavi
3 Mayko, Nataliya Valentynivna
3 Morozova, Valentina A.
3 Nair, M. Thamban
3 Olshanskii, Maxim A.
3 Pani, Amiya Kumar
3 Park, Eun-Jae
3 Pasciak, Joseph E.
3 Pereverzev, Sergei V.
3 Rababah, Abedallah
3 Raymond, Jean-Pierre
3 Rebholz, Leo G.
3 Schneider, Reinhold
3 Steinberg, Stanly L.
3 Stephan, Ernst Peter
3 Sun, Zhizhong
3 Vasylyk, Vitaliĭ Borysovych
3 Voigt, Axel
3 Vulkov, Lubin G.
...and 909 more Authors
all top 5

Fields

659 Numerical analysis (65-XX)
277 Partial differential equations (35-XX)
94 Fluid mechanics (76-XX)
71 Ordinary differential equations (34-XX)
45 Mechanics of deformable solids (74-XX)
44 Calculus of variations and optimal control; optimization (49-XX)
36 Operator theory (47-XX)
34 Integral equations (45-XX)
23 Approximations and expansions (41-XX)
18 Probability theory and stochastic processes (60-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Optics, electromagnetic theory (78-XX)
13 General and overarching topics; collections (00-XX)
12 Operations research, mathematical programming (90-XX)
12 Biology and other natural sciences (92-XX)
9 Functional analysis (46-XX)
9 Systems theory; control (93-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 History and biography (01-XX)
6 Real functions (26-XX)
6 Computer science (68-XX)
6 Geophysics (86-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Potential theory (31-XX)
4 Integral transforms, operational calculus (44-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
3 Statistics (62-XX)
3 Quantum theory (81-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

496 Publications have been cited 3,233 times in 2,643 Documents Cited by Year
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Zbl 1304.65248
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
120
2014
Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control. Zbl 1086.65107
Bahriawati, C.; Carstensen, C.
50
2005
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps. Zbl 1284.65050
Dolean, Victorita; Nataf, Frédéric; Scheichl, Robert; Spillane, Nicole
47
2012
Efficient implementation of adaptive P1-FEM in Matlab. Zbl 1284.65197
Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp
42
2011
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
42
2017
On discontinuous Galerkin methods for elliptic problems with discontinuous coefficients. Zbl 1039.65079
Dryja, Maksymilian
40
2003
A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation. Zbl 1048.65100
Mozolevski, Igor; Süli, Endre
40
2003
Space-time finite element methods for parabolic problems. Zbl 1329.65229
Steinbach, Olaf
38
2015
The SDFEM for a convection-diffusion problem with two small parameters. Zbl 1034.65064
Roos, Hans-Görg; Uzelac, Zorica
36
2003
Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239
Cakoni, Fioralba; Monk, Peter; Sun, Jiguang
34
2014
Structured rank-\((r_1, \dots , r_d)\) decomposition of function-related tensors in \(\mathbb R^d\). Zbl 1120.65052
Khoromskij, B. N.
33
2006
Numerical solutions of fuzzy differential equations by Taylor method. Zbl 1019.34061
Abbasband, S.; Viranloo, Allah
31
2002
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1393.49019
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
31
2013
Adaptive Galerkin finite element methods for the wave equation. Zbl 1283.35053
Bangerth, W.; Geiger, Michael; Rannacher, R.
30
2010
Singularly perturbed problems modeling reaction-convection-diffusion processes. Zbl 1040.65067
O’Riordan, Eugene; Pickett, Maria L.; Shishkin, Grigorii I.
30
2003
A Fourier pseudospectral method for solving coupled viscous Burgers equation. Zbl 1183.35245
Rashid, Abdur; Ismail, Ahmad Izani Bin Md.
29
2009
Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs. Zbl 1283.65039
Khoromskij, B. N.; Oseledets, I.
28
2010
Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators. Zbl 1283.65102
Semenova, E. V.
28
2010
\(D\)-gap functions for a class of equilibrium problems in Banach spaces. Zbl 1051.47046
Konnov, I. V.; Pinyagina, O. V.
28
2003
Preconditioned low-rank methods for high-dimensional elliptic PDE eigenvalue problems. Zbl 1283.65025
Kressner, Daniel; Tobler, Christine
27
2011
DMRG approach to fast linear algebra in the TT-format. Zbl 1283.15041
Oseledets, Ivan
25
2011
Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods. Zbl 1285.65070
Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk
24
2013
Computational comparison of surface metrics for PDE constrained shape optimization. Zbl 1342.49065
Schulz, Volker; Siebenborn, Martin
24
2016
Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem. Zbl 1382.65275
Gracia, José Luis; O’Riordan, Eugene; Stynes, Martin
23
2018
A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
22
2010
Hybridization of mixed high-order methods on general meshes and application to the Stokes equations. Zbl 1311.76038
Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A.
22
2015
Robust numerical upscaling of elliptic multiscale problems at high contrast. Zbl 1348.65169
Peterseim, Daniel; Scheichl, Robert
20
2016
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
20
2016
Müntz spectral methods for the time-fractional diffusion equation. Zbl 1382.65343
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju
19
2018
A Schwarz preconditioner for a hybridized mixed method. Zbl 1039.65081
Gopalakrishnan, Jayadeep
19
2003
Numerical solution of systems of singularly perturbed differential equations. Zbl 1193.65189
Linss, T.; Stynes, M.
19
2009
An introduction to hierarchical (\(\mathcal H\)-) rank and TT-rank of tensors with examples. Zbl 1283.15075
Grasedyck, Lars; Hackbusch, Wolfgang
18
2011
Superconvergence postprocessing for eigenvalues. Zbl 1012.65113
Racheva, M. R.; Andreev, A. B.
18
2002
Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Zbl 1360.65234
Dörfler, Willy; Findeisen, Stefan; Wieners, Christian
18
2016
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. Zbl 1169.65046
Emmrich, E.
17
2009
Efficient preconditioners for large scale binary Cahn-Hilliard models. Zbl 1284.65047
Boyanova, Petia; Do-Quang, Minh; Neytcheva, Maya
17
2012
Robust approximation of singularly perturbed delay differential equations by the \(hp\) finite element method. Zbl 1284.65090
Nicaise, Serge; Xenophontos, Christos
17
2013
A fitted mesh method for a class of singularly perturbed parabolic problems with a boundary turning point. Zbl 1036.65068
Dunne, Raymond K.; O’Riordan, Eugene; Shishkin, Grigorii I.
17
2003
Analysis of model variance for ensemble based turbulence modeling. Zbl 1311.76033
Jiang, Nan; Kaya, Songul; Layton, William
17
2015
A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses. Zbl 1360.74134
Chen, Gang; Xie, Xiaoping
17
2016
Space mapping and defect correction. Zbl 1071.65086
Echeverría, D.; Hemker, P. W.
16
2005
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
15
2017
Construction of scalar and vector finite element families on polygonal and polyhedral meshes. Zbl 1348.65163
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
15
2016
On a nonlocal boundary value problem for two dimensional elliptic equation. Zbl 1046.65084
Berikelashvili, Givi
15
2003
Transformation of Chebyshev-Bernstein polynomial basis. Zbl 1046.41005
Rababah, Abedallah
15
2003
Numerical treatments for Volterra delay integro-differential equations. Zbl 1184.65122
Rihan, F. A.; Doha, E. H.; Hassan, M. I.; Kamel, N. M.
15
2009
An efficient algorithm for computation of MHD flow ensembles. Zbl 1419.76443
Mohebujjaman, Muhammad; Rebholz, Leo G.
15
2017
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
14
2017
The construction of the coarse de Rham complexes with improved approximation properties. Zbl 1284.65156
Lashuk, Ilya V.; Vassilevski, Panayot S.
14
2014
Some open questions in the numerical analysis of singularly perturbed differential equations. Zbl 1329.65278
Roos, Hans-Görg; Stynes, Martin
14
2015
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
14
2001
Semi-Lagrangian integration schemes for viscous incompressible flows. Zbl 1098.76529
Seaid, M.
14
2002
Jacobi-Bernstein basis transformation. Zbl 1071.41006
Rababah, Abedallah
14
2004
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
14
2013
A natural adaptive nonconforming FEM of quasi-optimal complexity. Zbl 1283.65098
Rabus, H.
13
2010
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
13
2017
Improved least-squares error estimates for scalar hyperbolic problems. Zbl 0979.65079
Bochev, P. B.; Choi, J.
13
2001
An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173
Ford, Neville J.; Pal, Kamal; Yan, Yubin
13
2015
On the quasi-monotone modified method of characteristics for transport-diffusion problems with reactive sources. Zbl 1075.76642
Seaid, M.
13
2002
On two optimal control problems for magnetic fields. Zbl 1315.35226
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
13
2014
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. Zbl 1398.76036
Ahmed, Naveed; Linke, Alexander; Merdon, Christian
13
2018
On the numerical solution of some non-linear stochastic differential equations using the semi-discrete method. Zbl 1329.65015
Halidias, Nikolaos; Stamatiou, Ioannis S.
13
2016
Finite element analysis of an exponentially graded mesh for singularly perturbed problems. Zbl 1315.65097
Constantinou, Philippos; Xenophontos, Christos
13
2015
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
12
2018
Additive average Schwarz methods for discretization of elliptic problems with highly discontinuous coefficients. Zbl 1283.65019
Dryja, M.; Sarkis, M.
12
2010
Polynomial of best uniform approximation to \(1/x\) and smoothing in two-level methods. Zbl 1284.65052
Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil
12
2012
Stability of Petrov-Galerkin discretizations: application to the space-time weak formulation for parabolic evolution problems. Zbl 1290.65086
Mollet, Christian
12
2014
The maximum principle and some of its applications. Zbl 0995.65090
Matus, Piotr
12
2002
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise. Zbl 1404.65178
Majee, Ananta K.; Prohl, Andreas
12
2018
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
12
2019
Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\). Zbl 1422.65378
Chen, Long; Hu, Jun; Huang, Xuehai
12
2017
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
11
2018
A discrete vector calculus in tensor grids. Zbl 1283.65099
Robidoux, Nicolas; Steinberg, Stanly
11
2011
Polynomial approximation on spheres – generalizing de la Vallée-Poussin. Zbl 1284.42078
Sloan, Ian H.
11
2011
Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162
Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng
11
2012
Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun
11
2012
On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108
Matus, Piotr
11
2014
An improved error estimate for a numerical method for a system of coupled singularly perturbed reaction-diffusion equations. Zbl 1040.65066
Linß, Torsten; Madden, Niall
11
2003
Development of the tau method for the numerical solution of two-dimensional linear Volterra integro-differential equations. Zbl 1188.65178
Tari, A.; Rahimi, M. Y.; Shahmorad, S.; Talati, F.
11
2009
Exact difference schemes for time-dependent problems. Zbl 1082.65076
Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M.
11
2005
Performance of H-LU preconditioning for sparse matrices. Zbl 1156.65042
Grasedyck, L.; Hackbusch, W.; Kriemann, R.
11
2008
Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. Zbl 1401.65096
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
11
2018
A reliable residual based a posteriori error estimator for a quadratic finite element method for the elliptic obstacle problem. Zbl 1315.65057
Gudi, Thirupathi; Porwal, Kamana
11
2015
Hybrid spectral difference methods for an elliptic equation. Zbl 1359.65257
Jeon, Youngmok; Park, Eun-Jae; Shin, Dong-wook
11
2017
Computation of the Hartree-Fock exchange by the tensor-structured methods. Zbl 1283.65037
Khoromskaia, V.
10
2010
On an efficient finite element method for Navier-Stokes-\(\overline{\omega}\) with strong mass conservation. Zbl 1283.76018
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
10
2011
A singularly perturbed convection diffusion turning point problem with an interior layer. Zbl 1284.65157
O’Riordan, Eugene; Quinn, Jason
10
2012
A remark on newest vertex bisection in any space dimension. Zbl 1297.65189
Gallistl, Dietmar; Schedensack, Mira; Stevenson, Rob P.
10
2014
A macro-kinetic hybrid model for traffic flow on road networks. Zbl 1194.35257
Herty, M.; Moutari, S.
10
2009
Solving nonlinear Volterra-Fredholm integro-differential equations using the modified Adomian decomposition method. Zbl 1183.41019
Araghi, M. A. Fariborzi; Behzadi, Sh. Sadigh
10
2009
Some remarks on residual-based stabilisation of inf-sup stable discretisations of the generalised Oseen problem. Zbl 1245.76051
Matthies, G.; Lube, G.; Rohe, L.
10
2009
Sharp expressions for the stabilization parameters in symmetric interior-penalty discontinuous Galerkin finite element approximations of fourth-order elliptic problems. Zbl 1136.65098
Mozolevski, I.; Bösing, P. R.
10
2007
Domain decomposition methods with overlapping subdomains for the time-dependent problems of mathematical physics. Zbl 1156.65084
Vabishchevich, P. N.
10
2008
Boundary layers in a two-point boundary value problem with a Caputo fractional derivative. Zbl 1318.34010
Stynes, Martin; Gracia, José Luis
10
2015
High accuracy method for magnetohydrodynamics system in Elsässer variables. Zbl 1309.76225
Wilson, Nicholas; Labovsky, Alexander; Trenchea, Catalin
10
2015
Numerical solution of parabolic problems based on a weak space-time formulation. Zbl 1355.65133
Larsson, Stig; Molteni, Matteo
10
2017
A time-stepping DPG scheme for the heat equation. Zbl 1359.65200
Führer, Thomas; Heuer, Norbert; Sen Gupta, Jhuma
10
2017
High order numerical methods for fractional terminal value problems. Zbl 1285.65049
Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda
9
2014
Adaptive finite element methods for optimal control of second order hyperbolic equations. Zbl 1283.35054
Kröner, Axel
9
2011
A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems. Zbl 1434.65252
Endtmayer, Bernhard; Wick, Thomas
9
2017
Robust hybrid high-order method on polytopal meshes with small faces. Zbl 1482.65204
Droniou, Jérôme; Yemm, Liam
6
2022
Using complete monotonicity to deduce local error estimates for discretisations of a multi-term time-fractional diffusion equation. Zbl 1484.65175
Chen, Hu; Stynes, Martin
1
2022
A totally relaxed, self-adaptive subgradient extragradient method for variational inequality and fixed point problems in a Banach space. Zbl 1482.65097
Jolaoso, Lateef Olakunle; Taiwo, Adeolu; Alakoya, Timilehin Opeyemi; Mewomo, Oluwatosin Temitope; Dong, Qiao-Li
1
2022
On the finite element approximation of fourth-order singularly perturbed eigenvalue problems. Zbl 1485.65123
Roos, Hans-Görg; Savvidou, Despo; Xenophontos, Christos
1
2022
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods. Zbl 1480.35214
Heid, Pascal; Praetorius, Dirk; Wihler, Thomas P.
5
2021
Optimal convergence rates for goal-oriented FEM with quadratic goal functional. Zbl 1476.65290
Becker, Roland; Innerberger, Michael; Praetorius, Dirk
4
2021
Instance-optimal goal-oriented adaptivity. Zbl 1474.65440
Innerberger, Michael; Praetorius, Dirk
2
2021
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides. Zbl 1476.65294
Carstensen, Carsten; Nataraj, Neela
2
2021
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. Zbl 1476.65297
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
2
2021
Uniform preconditioners of linear complexity for problems of negative order. Zbl 1476.65037
Stevenson, Rob; van Venetië, Raymond
2
2021
Analysis of backward Euler primal DPG methods. Zbl 1476.65299
Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2
2021
Hierarchical Argyris finite element method for adaptive and multigrid algorithms. Zbl 1473.65291
Carstensen, Carsten; Hu, Jun
2
2021
Local discontinuous Galerkin method for time-dependent singularly perturbed semilinear reaction-diffusion problems. Zbl 1473.65186
Cheng, Yao; Song, Chuanjing; Mei, Yanjie
1
2021
A semi-uniform multigrid algorithm for solving elliptic interface problems. Zbl 1473.65339
Jo, Gwanghyun; Kwak, Do Young
1
2021
Error analysis of Nitsche’s and discontinuous Galerkin methods of a reduced Landau-de Gennes problem. Zbl 1473.65312
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela
1
2021
Morley FEM for a distributed optimal control problem governed by the von Kármán equations. Zbl 1477.49041
Chowdhury, Sudipto; Nataraj, Neela; Shylaja, Devika
1
2021
On the energy stable approximation of Hamiltonian and gradient systems. Zbl 1484.37096
Egger, Herbert; Habrich, Oliver; Shashkov, Vsevolod
1
2021
Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators. Zbl 1475.65195
Kreuzer, Christian; Verfürth, Rüdiger; Zanotti, Pietro
1
2021
A gradient discretisation method for anisotropic reaction-diffusion models with applications to the dynamics of brain tumors. Zbl 07446781
Alnashri, Yahya; Alzubaidi, Hasan
1
2021
Two finite difference schemes for multi-dimensional fractional wave equations with weakly singular solutions. Zbl 1476.65191
Shen, Jinye; Stynes, Martin; Sun, Zhi-Zhong
1
2021
An adaptive finite element scheme for the Hellinger-Reissner elasticity mixed eigenvalue problem. Zbl 1473.65278
Bertrand, Fleurianne; Boffi, Daniele; Ma, Rui
1
2021
\(H(\mathrm{curl}^2)\)-conforming spectral element method for quad-curl problems. Zbl 1473.65319
Wang, Lixiu; Li, Huiyuan; Zhang, Zhimin
1
2021
Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem. Zbl 1490.74095
Wick, Thomas
1
2021
Fast tensor product Schwarz smoothers for high-order discontinuous Galerkin methods. Zbl 1473.65344
Witte, Julius; Arndt, Daniel; Kanschat, Guido
1
2021
Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem. Zbl 1451.65146
Huang, Chaobao; Liu, Xiaohui; Meng, Xiangyun; Stynes, Martin
9
2020
A fully-mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent parameters. Zbl 1436.65168
Almonacid, Javier A.; Gatica, Gabriel N.
8
2020
Adaptive mesh refinement in 2D – an efficient implementation in Matlab. Zbl 1451.65217
Funken, Stefan A.; Schmidt, Anja
8
2020
Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions. Zbl 1451.65153
Takhirov, Aziz; Waters, Jiajia
5
2020
A hybrid high-order discretization method for nonlinear poroelasticity. Zbl 1437.76027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
4
2020
On the stable difference schemes for the Schrödinger equation with time delay. Zbl 1437.65159
Ashyralyev, Allaberen; Agirseven, Deniz
4
2020
A new probabilistic interpretation of the Bramble-Hilbert lemma. Zbl 1437.65179
Chaskalovic, Joël; Assous, Franck
4
2020
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. Zbl 1451.65209
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong
4
2020
Crouzeix-Raviart finite element approximation for the parabolic obstacle problem. Zbl 1436.65182
Gudi, Thirupathi; Majumder, Papri
3
2020
Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem. Zbl 1436.65166
Bertrand, Fleurianne; Boffi, Daniele; Stenberg, Rolf
2
2020
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. Zbl 1447.65150
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I.
2
2020
A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. Zbl 1436.49006
Wang, Tao; Yang, Chaochao; Xie, Xiaoping
2
2020
Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data. Zbl 1437.65124
Jiang, Suzhen; Liao, Kaifang; Wei, Ting
2
2020
The gradient discretisation method for linear advection problems. Zbl 1451.65175
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2
2020
Weighted estimates for boundary value problems with fractional derivatives. Zbl 1451.65171
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.; Mayko, Nataliya V.
2
2020
A new mixed functional-probabilistic approach for finite element accuracy. Zbl 1451.65177
Chaskalovic, Joël; Assous, Franck
2
2020
Convergence and preconditioning of inexact inverse subspace iteration for generalized eigenvalue problems. Zbl 1437.65028
Nasser, Rayan; Sadkane, Miloud
1
2020
Composite finite element approximation for parabolic problems in nonconvex polygonal domains. Zbl 1439.65119
Pramanick, Tamal; Sinha, Rajen Kumar
1
2020
Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity. Zbl 1437.65176
Botti, Michele; Riedlbeck, Rita
1
2020
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability. Zbl 07194988
Eikmeier, André; Emmrich, Etienne; Kreusler, Hans-Christian
1
2020
Eigenvalue problems for exponential-type kernels. Zbl 1437.65230
Cai, Difeng; Vassilevski, Panayot S.
1
2020
Quasi-overlapping semi-discrete Schwarz waveform relaxation algorithms: the hyperbolic problem. Zbl 1456.65098
Al-Khaleel, Mohammad; Wu, Shu-Lin
1
2020
A reduced Crouzeix-Raviart immersed finite element method for elasticity problems with interfaces. Zbl 1451.65194
Jo, Gwanghyun; Kwak, Do Young
1
2020
On the parameter choice in the multilevel augmentation method. Zbl 1456.65037
Yang, Suhua; Luo, Xingjun; Zeng, Chunmei; Xu, Zhihai; Hu, Wenyu
1
2020
Finite difference approximation of a generalized time-fractional telegraph equation. Zbl 1456.65061
Delić, Aleksandra; Jovanović, Boško S.; Živanović, Sandra
1
2020
Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. Zbl 1451.65197
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey
1
2020
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. Zbl 07284944
Langer, Ulrich; Schafelner, Andreas
1
2020
Incomplete iterative implicit schemes. Zbl 1454.65065
Vabishchevich, Petr N.
1
2020
Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. Zbl 1455.65110
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes
1
2020
A first-order explicit-implicit splitting method for a convection-diffusion problem. Zbl 1456.65076
Pani, Amiya K.; Thomée, Vidar; Vasudeva Murthy, A. S.
1
2020
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
12
2019
Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media. Zbl 1420.65100
Ernesti, Johannes; Wieners, Christian
9
2019
The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces. Zbl 1459.65223
Muga, Ignacio; Tyler, Matthew J. W.; van der Zee, Kristoffer G.
8
2019
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
6
2019
Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert
6
2019
Superconvergent DPG methods for second-order elliptic problems. Zbl 1420.65121
Führer, Thomas
6
2019
The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin’s method. Zbl 1429.35070
Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G.
6
2019
Stabilizability of infinite-dimensional systems by finite-dimensional controls. Zbl 1432.93263
Raymond, Jean-Pierre
5
2019
Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. Zbl 07169916
Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey
5
2019
Projection methods for dynamical low-rank approximation of high-dimensional problems. Zbl 1448.65064
Kieri, Emil; Vandereycken, Bart
5
2019
A non-conforming saddle point least squares approach for an elliptic interface problem. Zbl 1421.74094
Bacuta, Constantin; Jacavage, Jacob
5
2019
Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
4
2019
Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients. Zbl 1464.65123
Mantzaflaris, Angelos; Scholz, Felix; Toulopoulos, Ioannis
4
2019
The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078
Makarov, Volodymyr; Mayko, Nataliya
4
2019
A posteriori error estimation for planar linear elasticity by stress reconstruction. Zbl 1420.65117
Bertrand, Fleurianne; Moldenhauer, Marcel; Starke, Gerhard
4
2019
A hybrid high-order method for highly oscillatory elliptic problems. Zbl 1434.65246
Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon
3
2019
A tensor decomposition algorithm for large ODEs with conservation laws. Zbl 1420.65030
Dolgov, Sergey V.
3
2019
Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem. Zbl 1420.65118
Biswas, Rahul; Dond, Asha K.; Gudi, Thirupathi
3
2019
Improved analysis and simulation of a time-domain carpet cloak model. Zbl 1421.78024
Li, Jichun; Meng, Chen; Huang, Yunqing
3
2019
Quasi-optimality of adaptive mixed FEMs for non-selfadjoint indefinite second-order linear elliptic problems. Zbl 1420.65108
Carstensen, Carsten; Dond, Asha K.; Rabus, Hella
3
2019
Adaptive strategies for transport equations. Zbl 1420.65109
Dahmen, Wolfgang; Stevenson, Rob P.
3
2019
Camellia: a rapid development framework for finite element solvers. Zbl 1426.65147
Roberts, Nathan V.
3
2019
Alternative enriched test spaces in the DPG method for singular perturbation problems. Zbl 1420.65126
Salazar, Jacob; Mora, Jaime; Demkowicz, Leszek
3
2019
Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem. Zbl 1430.76361
Barrenechea, Gabriel R.; Bosy, Michał; Dolean, Victorita; Nataf, Frédéric; Tournier, Pierre-Henri
2
2019
Operator learning approach for the limited view problem in photoacoustic tomography. Zbl 1430.92043
Dreier, Florian; Pereverzyev, Sergiy jun.; Haltmeier, Markus
2
2019
A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. Zbl 1420.65043
Benner, Peter; Onwunta, Akwum; Stoll, Martin
2
2019
Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084
Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G.
2
2019
Analysis of FEAST spectral approximations using the DPG discretization. Zbl 1420.65114
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey; Parker, Benjamin
2
2019
Fast integration of DPG matrices based on sum factorization for all the energy spaces. Zbl 1420.65125
Mora, Jaime; Demkowicz, Leszek
2
2019
The discrete Steklov-Poincaré operator using algebraic dual polynomials. Zbl 1420.65129
Zhang, Yi; Jain, Varun; Palha, Artur; Gerritsma, Marc
2
2019
An optimal embedded discontinuous Galerkin method for second-order elliptic problems. Zbl 1434.65288
Zhang, Xiao; Xie, Xiaoping; Zhang, Shiquan
1
2019
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020
1
2019
An elementary method of deriving a posteriori error equalities and estimates for linear partial differential equations. Zbl 1420.65112
Anjam, Immanuel; Pauly, Dirk
1
2019
Estimation of the time-dependent body force needed to exert on a membrane to reach a desired state at the final time. Zbl 1420.65107
Boyadjiev, Lyubomir; Rashedi, Kamal; Sini, Mourad
1
2019
An explicit-implicit splitting method for a convection-diffusion problem. Zbl 1420.65089
Thomée, Vidar; Vasudeva Murthy, A. S.
1
2019
Mixed schemes for fourth-order DIV equations. Zbl 1421.76154
Fan, Ronghong; Liu, Yanru; Zhang, Shuo
1
2019
Stabilizability of infinite dimensional systems by finite dimensional control. Zbl 1422.93158
Raymond, Jean-Pierre
1
2019
Least-squares methods for elasticity and Stokes equations with weakly imposed symmetry. Zbl 1420.65115
Bertrand, Fleurianne; Cai, Zhiqiang; Park, Eun Young
1
2019
Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem. Zbl 1382.65275
Gracia, José Luis; O’Riordan, Eugene; Stynes, Martin
23
2018
Müntz spectral methods for the time-fractional diffusion equation. Zbl 1382.65343
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju
19
2018
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. Zbl 1398.76036
Ahmed, Naveed; Linke, Alexander; Merdon, Christian
13
2018
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
12
2018
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise. Zbl 1404.65178
Majee, Ananta K.; Prohl, Andreas
12
2018
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
11
2018
Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. Zbl 1401.65096
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
11
2018
Constants in discrete Poincaré and Friedrichs inequalities and discrete quasi-interpolation. Zbl 1401.65130
Carstensen, Carsten; Hellwig, Friederike
9
2018
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Cited by 3,409 Authors

37 Di Pietro, Daniele Antonio
36 Praetorius, Dirk
34 Carstensen, Carsten
34 Ern, Alexandre
27 Khoromskiĭ, Boris Nikolaevich
23 Antonietti, Paola Francesca
23 Langer, Ulrich
22 Makarov, Volodymyr Leonidovych
22 Matus, Pëtr Paŭlavich
21 Führer, Thomas
21 George, Santhosh
20 Vabishchevich, Pëtr Nikolaevich
19 Burman, Erik
18 Feischl, Michael
18 Repin, Sergeĭ Igorevich
18 Seaïd, Mohammed
17 Gracia, José Luis
16 O’Riordan, Eugene
15 Tröltzsch, Fredi
15 Vassilevski, Panayot Spirov
14 Cockburn, Bernardo
14 Droniou, Jérôme
14 Gantner, Gregor
14 Gavrilyuk, Ivan P.
14 Khoromskaia, Venera
14 Linke, Alexander
14 Stynes, Martin
14 Yan, Yubin
13 Allahviranloo, Tofigh
13 Ashyralyev, Allaberen
13 Chung, Tsz Shun Eric
13 Dolgov, Sergey V.
12 El-Amrani, Mofdi
12 Huang, Jianguo
12 Jiang, Nan
12 Karkulik, Michael
12 Pani, Amiya Kumar
12 Peterseim, Daniel
11 Botti, Lorenzo
11 Demkowicz, Leszek F.
11 Gudi, Thirupathi
11 Jeon, Youngmok
11 Lazarov, Raytcho D.
11 Oseledets, Ivan V.
11 Verani, Marco
11 Vohralík, Martin
11 Wick, Thomas
11 Yang, Yidu
11 Zikatanov, Ludmil T.
10 Altmann, Robert
10 Beirão da Veiga, Lourenço
10 Boffi, Daniele
10 Clavero, Carmelo
10 Emmrich, Etienne
10 Feng, Minfu
10 Gaspar, Francisco José
10 Huang, Xuehai
10 Kadalbajoo, Mohan K.
10 Klawonn, Axel
10 Melenk, Jens Markus
10 Merdon, Christian
10 Natesan, Srinivasan
10 Passacantando, Mauro
10 Tamilselvan, Ayyadurai
10 Vulkov, Lubin G.
9 Alikhanov, Anatoly A.
9 Antil, Harbir
9 Bause, Markus
9 Brenner, Susanne Cecelia
9 Chen, Gang
9 Gallistl, Dietmar
9 Han, Jiayu
9 Manzini, Gianmarco
9 Margenov, Svetozar D.
9 Mora, David
9 Nataraj, Neela
9 Park, Eun-Jae
9 Schwab, Christoph
9 Xenophontos, Christos A.
9 Xie, Hehu
9 Xu, Jinchao
9 Zhao, Jikun
8 Bi, Hai
8 Feng, Xiaobing
8 Ferreira, José Augusto
8 Gatica, Gabriel N.
8 Haberl, Alexander
8 Hackbusch, Wolfgang
8 Hu, Jun
8 Hu, Xiaozhe
8 Ji, Xia
8 Kaya, Songul
8 Nicaise, Serge
8 Rahman, Talal
8 Rebholz, Leo G.
8 Rheinbach, Oliver
8 Steinbach, Olaf
8 Sun, Jiguang
8 Zhang, Bei
7 Argyros, Ioannis Konstantinos
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Cited in 307 Journals

166 Computers & Mathematics with Applications
156 Journal of Computational and Applied Mathematics
138 Journal of Scientific Computing
113 SIAM Journal on Scientific Computing
95 Journal of Computational Physics
93 Applied Mathematics and Computation
89 Computer Methods in Applied Mechanics and Engineering
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84 SIAM Journal on Numerical Analysis
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64 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
39 Numerical Algorithms
31 Numerical Methods for Partial Differential Equations
31 Differential Equations
29 Advances in Computational Mathematics
28 Calcolo
27 Computational and Applied Mathematics
23 Mathematics and Computers in Simulation
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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20 BIT
19 Communications in Computational Physics
17 Computational Mathematics and Mathematical Physics
16 Applied Mathematics Letters
16 ETNA. Electronic Transactions on Numerical Analysis
15 International Journal for Numerical Methods in Engineering
15 Numerical Linear Algebra with Applications
14 Numerical Functional Analysis and Optimization
14 Computational Mechanics
13 Mathematical Modelling and Analysis
12 Applicable Analysis
12 Linear Algebra and its Applications
12 Journal of Applied Mathematics and Computing
11 Computers and Fluids
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11 Abstract and Applied Analysis
11 Multiscale Modeling & Simulation
11 International Journal of Applied and Computational Mathematics
10 Journal of Mathematical Sciences (New York)
10 Journal of Numerical Mathematics
10 Advances in Applied Mathematics and Mechanics
9 SIAM Journal on Matrix Analysis and Applications
9 Russian Journal of Numerical Analysis and Mathematical Modelling
9 Communications in Nonlinear Science and Numerical Simulation
9 Lobachevskii Journal of Mathematics
9 SIAM/ASA Journal on Uncertainty Quantification
9 Communications on Applied Mathematics and Computation
8 Inverse Problems
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5 Results in Applied Mathematics
4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
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