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Zikatanov, Ludmil T.

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Author ID: zikatanov.ludmil-t Recent zbMATH articles by "Zikatanov, Ludmil T."
Published as: Zikatanov, L.; Zikatanov, L. T.; Zikatanov, Ludmil; Zikatanov, Ludmil T.
Homepage: http://www.personal.psu.edu/ltz1/
External Links: MGP · Math-Net.Ru · ORCID · dblp
Documents Indexed: 81 Publications since 1992, including 1 Book

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 901 times in 653 Documents Cited by Year
The method of alternating projections and the method of subspace corrections in Hilbert space. Zbl 0999.47015
Xu, Jinchao; Zikatanov, Ludmil
97
2002
A monotone finite element scheme for convection-diffusion equations. Zbl 0931.65111
Xu, Jinchao; Zikatanov, Ludmil
89
1999
Some observations on Babuška and Brezzi theories. Zbl 1028.65115
Xu, Jinchao; Zikatanov, Ludmil
77
2003
Improving the rate of convergence of ‘high order finite elements’ on polygons and domains with cusps. Zbl 1116.65119
Băcuţă, Constantin; Nistor, Victor; Zikatanov, Ludmil T.
50
2005
Improving the rate of convergence of high-order finite elements on polyhedra. I: A priori estimates. Zbl 1121.35031
Bacuta, Constantin; Nistor, Victor; Zikatanov, Ludmil T.
33
2005
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
31
2005
Stability and monotonicity for some discretizations of the Biot’s consolidation model. Zbl 1425.74164
Rodrigo, C.; Gaspar, F. J.; Hu, X.; Zikatanov, L. T.
28
2016
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
28
2006
A nonconforming finite element method for the Biot’s consolidation model in poroelasticity. Zbl 1381.76175
Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T.
27
2017
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
23
1998
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
22
2004
Interface and mixed boundary value problems on \(n\)-dimensional polyhedral domains. Zbl 1207.35117
Bacuta, C.; Mazzucato, A. L.; Nistor, V.; Zikatanov, L.
21
2010
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
19
2007
Improving the rate of convergence of high-order finite elements on polyhedra. II: mesh refinements and interpolation. Zbl 1122.65109
Bacuta, Constantin; Nistor, Victor; Zikatanov, Ludmil T.
19
2007
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
19
2003
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
18
2017
Mathematical models for the deformation of electrolyte droplets. Zbl 1147.35343
Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil
18
2007
Uniformly convergent iterative methods for discontinuous Galerkin discretizations. Zbl 1203.65242
Ayuso de Dios, Blanca; Zikatanov, Ludmil
17
2009
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Zbl 1296.65153
Ayuso De Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil
13
2014
Uniform convergence of the multigrid \(V\)-cycle on graded meshes for corner singularities. Zbl 1212.65482
Brannick, J. J.; Li, Hengguang; Zikatanov, L. T.
13
2008
On the convergence of iterative methods for semidefinite linear systems. Zbl 1122.65033
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
13
2006
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
12
2017
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil
12
2014
New stabilized discretizations for poroelasticity and the Stokes’ equations. Zbl 1440.76027
Rodrigo, C.; Hu, X.; Ohm, P.; Adler, J. H.; Gaspar, F. J.; Zikatanov, L. T.
11
2018
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Zbl 1338.76054
Hong, Qingguo; Kraus, Johannes; Xu, Jinchao; Zikatanov, Ludmil
11
2016
Polynomial of best uniform approximation to \(1/x\) and smoothing in two-level methods. Zbl 1284.65052
Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil
11
2012
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. Zbl 1259.65190
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
11
2012
A sharp convergence estimate for the method of subspace corrections for singular systems of equations. Zbl 1137.65058
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
11
2008
Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil
10
2016
Weak approximation properties of elliptic projections with functional constraints. Zbl 1244.65215
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
8
2011
Two-sided bounds on the convergence rate of two-level methods. Zbl 1212.65503
Zikatanov, L. T.
8
2008
Robust preconditioners for a new stabilized discretization of the poroelastic equations. Zbl 1448.65145
Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T.
7
2020
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
7
2008
On multigrid methods for generalized finite element methods. Zbl 1012.65131
Xu, Jinchao; Zikatanov, Ludmil T.
7
2002
A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems. Zbl 1381.65091
Antonietti, Paola F.; Sarti, Marco; Verani, Marco; Zikatanov, Ludmil T.
6
2017
A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations. Zbl 1311.74108
Ayuso De Dios, Blanca; Georgiev, Ivan; Kraus, Johannes; Zikatanov, Ludmil
6
2013
Parallel unsmoothed aggregation algebraic multigrid algorithms on GPUs. Zbl 1275.65084
Brannick, James; Chen, Yao; Hu, Xiaozhe; Zikatanov, Ludmil
6
2013
Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs. Zbl 1281.65152
Brannick, J.; Chen, Y.; Kraus, J.; Zikatanov, L.
6
2013
Adaptive reduction-based multigrid for nearly singular and highly disordered physical systems. Zbl 1205.65321
Brannick, J.; Frommer, A.; Kahl, K.; Maclachlan, S.; Zikatanov, L.
6
2010
Robust block preconditioners for Biot’s model. Zbl 1442.65342
Adler, James H.; Gaspar, Francisco J.; Hu, Xiaozhe; Rodrigo, Carmen; Zikatanov, Ludmil T.
5
2018
A cascadic multigrid algorithm for computing the Fiedler vector of graph Laplacians. Zbl 1340.65262
Urschel, John C.; Xu, Jinchao; Hu, Xiaozhe; Zikatanov, Ludmil T.
5
2015
Spectral bisection of graphs and connectedness. Zbl 1286.05101
Urschel, John C.; Zikatanov, Ludmil T.
5
2014
Combined preconditioning with applications in reservoir simulation. Zbl 1426.76269
Hu, Xiaozhe; Wu, Shuhong; Wu, Xiao-Hui; Xu, Jinchao; Zhang, Chen-Song; Zhang, Shiquan; Zikatanov, Ludmil
5
2013
A multilevel precondition for generalized finite element method problems on unstructured simplicial meshes. Zbl 1156.65095
Cho, D.; Zikatanov, L.
5
2007
Uniformly convergent multigrid methods for convection–diffusion problems without any constraint on coarse grids. Zbl 1039.65090
Kim, Hwanho; Xu, Jinchao; Zikatanov, Ludmil
5
2004
Robust solvers for Maxwell’s equations with dissipative boundary conditions. Zbl 1395.65067
Adler, J. H.; Hu, X.; Zikatanov, L. T.
4
2017
Commuting projections on graphs. Zbl 1340.65062
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2014
An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching. Zbl 1274.65314
Brannick, James; Chen, Yao; Zikatanov, Ludmil
4
2012
First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528
Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L.
4
2011
Multiple vector preserving interpolation mappings in algebraic multigrid. Zbl 1102.65040
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2006
Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075
Adler, J. H.; Petkov, V.; Zikatanov, L. T.
3
2013
Predictioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems. Zbl 1267.65194
Dobrev, Veselin A.; Lazarov, Raytcho D.; Zikatanov, Ludmil T.
3
2008
Partition of unity method on nonmatching grids for the Stokes problem. Zbl 1148.76305
Bacuta, C.; Chen, J.; Huang, Y.; Xu, J.; Zikatanov, L.
3
2005
On the validity of the local Fourier analysis. Zbl 1449.65374
Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T.
2
2019
Circulant block-factorization preconditioning of anisotropic elliptic problems. Zbl 0879.65022
Lirkov, I. D.; Margenov, S. D.; Zikatanov, L. T.
2
1997
New stabilized discretizations for poroelasticity equations. Zbl 1422.65256
Gaspar, Francisco J.; Rodrigo, Carmen; Hu, Xiaozhe; Ohm, Peter; Adler, James; Zikatanov, Ludmil
1
2019
On the approximation of Laplacian eigenvalues in graph disaggregation. Zbl 1369.05135
Hu, Xiaozhe; Urschel, John C.; Zikatanov, Ludmil T.
1
2017
On the maximal error of spectral approximation of graph bisection. Zbl 1352.05120
Urschel, John C.; Zikatanov, Ludmil T.
1
2016
A finite element framework for some mimetic finite difference discretizations. Zbl 1443.65285
Rodrigo, Carmen; Gaspar, F. J.; Hu, X.; Zikatanov, L.
1
2015
Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids. Zbl 1313.65324
Yu, Guozhu; Xu, Jinchao; Zikatanov, Ludmil T.
1
2013
Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses. Zbl 1258.65096
Boyanova, P.; Georgiev, I.; Margenov, S.; Zikatanov, L.
1
2012
Convergence analysis of iterative methods for semidefinite systems. Zbl 1174.65013
Wu, Jinbiao; Lee, Youngju; Xu, Jinchao; Zikatanov, Ludmil
1
2008
Robust preconditioners for a new stabilized discretization of the poroelastic equations. Zbl 1448.65145
Adler, J. H.; Gaspar, F. J.; Hu, X.; Ohm, P.; Rodrigo, C.; Zikatanov, L. T.
7
2020
On the validity of the local Fourier analysis. Zbl 1449.65374
Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T.
2
2019
New stabilized discretizations for poroelasticity equations. Zbl 1422.65256
Gaspar, Francisco J.; Rodrigo, Carmen; Hu, Xiaozhe; Ohm, Peter; Adler, James; Zikatanov, Ludmil
1
2019
New stabilized discretizations for poroelasticity and the Stokes’ equations. Zbl 1440.76027
Rodrigo, C.; Hu, X.; Ohm, P.; Adler, J. H.; Gaspar, F. J.; Zikatanov, L. T.
11
2018
Robust block preconditioners for Biot’s model. Zbl 1442.65342
Adler, James H.; Gaspar, Francisco J.; Hu, Xiaozhe; Rodrigo, Carmen; Zikatanov, Ludmil T.
5
2018
A nonconforming finite element method for the Biot’s consolidation model in poroelasticity. Zbl 1381.76175
Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T.
27
2017
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
18
2017
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
12
2017
A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems. Zbl 1381.65091
Antonietti, Paola F.; Sarti, Marco; Verani, Marco; Zikatanov, Ludmil T.
6
2017
Robust solvers for Maxwell’s equations with dissipative boundary conditions. Zbl 1395.65067
Adler, J. H.; Hu, X.; Zikatanov, L. T.
4
2017
On the approximation of Laplacian eigenvalues in graph disaggregation. Zbl 1369.05135
Hu, Xiaozhe; Urschel, John C.; Zikatanov, Ludmil T.
1
2017
Stability and monotonicity for some discretizations of the Biot’s consolidation model. Zbl 1425.74164
Rodrigo, C.; Gaspar, F. J.; Hu, X.; Zikatanov, L. T.
28
2016
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Zbl 1338.76054
Hong, Qingguo; Kraus, Johannes; Xu, Jinchao; Zikatanov, Ludmil
11
2016
Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil
10
2016
On the maximal error of spectral approximation of graph bisection. Zbl 1352.05120
Urschel, John C.; Zikatanov, Ludmil T.
1
2016
A cascadic multigrid algorithm for computing the Fiedler vector of graph Laplacians. Zbl 1340.65262
Urschel, John C.; Xu, Jinchao; Hu, Xiaozhe; Zikatanov, Ludmil T.
5
2015
A finite element framework for some mimetic finite difference discretizations. Zbl 1443.65285
Rodrigo, Carmen; Gaspar, F. J.; Hu, X.; Zikatanov, L.
1
2015
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Zbl 1296.65153
Ayuso De Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil
13
2014
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil
12
2014
Spectral bisection of graphs and connectedness. Zbl 1286.05101
Urschel, John C.; Zikatanov, Ludmil T.
5
2014
Commuting projections on graphs. Zbl 1340.65062
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2014
A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations. Zbl 1311.74108
Ayuso De Dios, Blanca; Georgiev, Ivan; Kraus, Johannes; Zikatanov, Ludmil
6
2013
Parallel unsmoothed aggregation algebraic multigrid algorithms on GPUs. Zbl 1275.65084
Brannick, James; Chen, Yao; Hu, Xiaozhe; Zikatanov, Ludmil
6
2013
Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs. Zbl 1281.65152
Brannick, J.; Chen, Y.; Kraus, J.; Zikatanov, L.
6
2013
Combined preconditioning with applications in reservoir simulation. Zbl 1426.76269
Hu, Xiaozhe; Wu, Shuhong; Wu, Xiao-Hui; Xu, Jinchao; Zhang, Chen-Song; Zhang, Shiquan; Zikatanov, Ludmil
5
2013
Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075
Adler, J. H.; Petkov, V.; Zikatanov, L. T.
3
2013
Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids. Zbl 1313.65324
Yu, Guozhu; Xu, Jinchao; Zikatanov, Ludmil T.
1
2013
Polynomial of best uniform approximation to \(1/x\) and smoothing in two-level methods. Zbl 1284.65052
Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil
11
2012
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. Zbl 1259.65190
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
11
2012
An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching. Zbl 1274.65314
Brannick, James; Chen, Yao; Zikatanov, Ludmil
4
2012
Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses. Zbl 1258.65096
Boyanova, P.; Georgiev, I.; Margenov, S.; Zikatanov, L.
1
2012
Weak approximation properties of elliptic projections with functional constraints. Zbl 1244.65215
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
8
2011
First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528
Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L.
4
2011
Interface and mixed boundary value problems on \(n\)-dimensional polyhedral domains. Zbl 1207.35117
Bacuta, C.; Mazzucato, A. L.; Nistor, V.; Zikatanov, L.
21
2010
Adaptive reduction-based multigrid for nearly singular and highly disordered physical systems. Zbl 1205.65321
Brannick, J.; Frommer, A.; Kahl, K.; Maclachlan, S.; Zikatanov, L.
6
2010
Uniformly convergent iterative methods for discontinuous Galerkin discretizations. Zbl 1203.65242
Ayuso de Dios, Blanca; Zikatanov, Ludmil
17
2009
Uniform convergence of the multigrid \(V\)-cycle on graded meshes for corner singularities. Zbl 1212.65482
Brannick, J. J.; Li, Hengguang; Zikatanov, L. T.
13
2008
A sharp convergence estimate for the method of subspace corrections for singular systems of equations. Zbl 1137.65058
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
11
2008
Two-sided bounds on the convergence rate of two-level methods. Zbl 1212.65503
Zikatanov, L. T.
8
2008
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
7
2008
Predictioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems. Zbl 1267.65194
Dobrev, Veselin A.; Lazarov, Raytcho D.; Zikatanov, Ludmil T.
3
2008
Convergence analysis of iterative methods for semidefinite systems. Zbl 1174.65013
Wu, Jinbiao; Lee, Youngju; Xu, Jinchao; Zikatanov, Ludmil
1
2008
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
19
2007
Improving the rate of convergence of high-order finite elements on polyhedra. II: mesh refinements and interpolation. Zbl 1122.65109
Bacuta, Constantin; Nistor, Victor; Zikatanov, Ludmil T.
19
2007
Mathematical models for the deformation of electrolyte droplets. Zbl 1147.35343
Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil
18
2007
A multilevel precondition for generalized finite element method problems on unstructured simplicial meshes. Zbl 1156.65095
Cho, D.; Zikatanov, L.
5
2007
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
28
2006
On the convergence of iterative methods for semidefinite linear systems. Zbl 1122.65033
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
13
2006
Multiple vector preserving interpolation mappings in algebraic multigrid. Zbl 1102.65040
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2006
Improving the rate of convergence of ‘high order finite elements’ on polygons and domains with cusps. Zbl 1116.65119
Băcuţă, Constantin; Nistor, Victor; Zikatanov, Ludmil T.
50
2005
Improving the rate of convergence of high-order finite elements on polyhedra. I: A priori estimates. Zbl 1121.35031
Bacuta, Constantin; Nistor, Victor; Zikatanov, Ludmil T.
33
2005
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
31
2005
Partition of unity method on nonmatching grids for the Stokes problem. Zbl 1148.76305
Bacuta, C.; Chen, J.; Huang, Y.; Xu, J.; Zikatanov, L.
3
2005
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
22
2004
Uniformly convergent multigrid methods for convection–diffusion problems without any constraint on coarse grids. Zbl 1039.65090
Kim, Hwanho; Xu, Jinchao; Zikatanov, Ludmil
5
2004
Some observations on Babuška and Brezzi theories. Zbl 1028.65115
Xu, Jinchao; Zikatanov, Ludmil
77
2003
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
19
2003
The method of alternating projections and the method of subspace corrections in Hilbert space. Zbl 0999.47015
Xu, Jinchao; Zikatanov, Ludmil
97
2002
On multigrid methods for generalized finite element methods. Zbl 1012.65131
Xu, Jinchao; Zikatanov, Ludmil T.
7
2002
A monotone finite element scheme for convection-diffusion equations. Zbl 0931.65111
Xu, Jinchao; Zikatanov, Ludmil
89
1999
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
23
1998
Circulant block-factorization preconditioning of anisotropic elliptic problems. Zbl 0879.65022
Lirkov, I. D.; Margenov, S. D.; Zikatanov, L. T.
2
1997
all top 5

Cited by 993 Authors

33 Xu, Jinchao
32 Zikatanov, Ludmil T.
20 Li, Hengguang
18 Hu, Xiaozhe
18 Vassilevski, Panayot Spirov
17 Brenner, Susanne Cecelia
17 Nistor, Victor
14 Bacuta, Constantin
13 Kraus, Johannes K.
13 Zhang, Zhimin
10 Antonietti, Paola Francesca
9 Lee, Youngju
9 Schwab, Christoph
9 Shu, Shi
8 Chen, Long
8 Margenov, Svetozar D.
8 Sacco, Riccardo
8 Scheichl, Robert
8 Zou, Qingsong
7 Burman, Erik
7 Galvis, Juan
7 He, Wenming
7 Liu, Chun
7 Lymbery, Maria
7 Needell, Deanna
7 Rodrigo, Carmen
7 Sung, Li-Yeng
6 Adler, James H.
6 Castelletto, Nicola
6 Cui, Jintao
6 Gaspar, Francisco José
6 Hong, Qingguo
6 Lazarov, Raytcho D.
6 MacLachlan, Scott P.
6 Manteuffel, Thomas A.
6 Veeser, Andreas
6 Wheeler, Mary Fanett
5 Barrenechea, Gabriel R.
5 Ferronato, Massimiliano
5 Korotov, Sergey
5 Kumar, Kundan
5 Langer, Ulrich
5 Nicaise, Serge
5 Nordbotten, Jan Martin
5 Notay, Yvan
5 Rozza, Gianluigi
5 Southworth, Ben S.
5 Sung, Liyeng
5 Wu, Jinbiao
5 Xiao, Yingxiong
5 Zhu, Yunrong
4 Ayuso de Dios, Blanca
4 Chen, Minghua
4 Dryja, Maksymilian
4 Farrell, Patrick Emmet
4 Guermond, Jean-Luc
4 Kahl, Karsten
4 Lee, Chiun-Chang
4 Müller, Fabian Lukas
4 Napov, Artem
4 Neumüller, Martin
4 Nochetto, Ricardo Horacio
4 Olson, Luke N.
4 Peterseim, Daniel
4 Qiao, Yu
4 Sayas, Francisco-Javier
4 Tuminaro, Raymond S.
4 Vejchodský, Tomáš
4 Verani, Marco
4 Verri, Maurizio
4 Wei, Yimin
4 Wu, Shuonan
4 Zhang, Chensong
4 Zhao, Jihong
3 Abdulle, Assyr
3 Almani, Tameem
3 Ammann, Bernd Eberhard
3 Ayuso, Blanca
3 Badea, Catalin
3 Bochev, Pavel B.
3 Brannick, James J.
3 Brezina, Marian
3 Bui-Thanh, Tan
3 Cao, Waixiang
3 Chen, Zhangxin
3 Cho, Durkbin
3 de Falco, Carlo
3 Demkowicz, Leszek F.
3 Deutsch, Frank
3 Dolean, Victorita
3 Efendiev, Yalchin R.
3 Ern, Alexandre
3 Franceschini, Andrea
3 Georgiev, Ivan
3 Graham, Ivan G.
3 Guzmán, Johnny
3 Hannukainen, Antti
3 Hsieh, Chia-Yu
3 Huang, Weizhang
3 Hundal, Hein S.
...and 893 more Authors
all top 5

Cited in 119 Serials

49 SIAM Journal on Scientific Computing
41 Journal of Computational and Applied Mathematics
38 Computer Methods in Applied Mechanics and Engineering
37 Numerical Linear Algebra with Applications
36 Numerische Mathematik
35 Computers & Mathematics with Applications
33 Mathematics of Computation
30 Journal of Scientific Computing
27 Journal of Computational Physics
23 SIAM Journal on Numerical Analysis
17 Computational Geosciences
16 Linear Algebra and its Applications
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Calcolo
10 Numerical Methods for Partial Differential Equations
9 Applied Mathematics and Computation
9 Computational Methods in Applied Mathematics
8 Applied Numerical Mathematics
7 SIAM Journal on Matrix Analysis and Applications
7 Numerical Algorithms
6 BIT
5 Journal of Mathematical Analysis and Applications
5 Journal of Approximation Theory
5 Mathematics and Computers in Simulation
5 ETNA. Electronic Transactions on Numerical Analysis
5 Advances in Computational Mathematics
5 Computing and Visualization in Science
5 Central European Journal of Mathematics
4 Mathematical Methods in the Applied Sciences
4 Journal of Differential Equations
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Inverse Problems
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerical Functional Analysis and Optimization
3 Discrete and Continuous Dynamical Systems
3 Multiscale Modeling & Simulation
3 Acta Numerica
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Science China. Mathematics
2 Journal of Mathematical Physics
2 Integral Equations and Operator Theory
2 International Journal for Numerical Methods in Engineering
2 Journal of Functional Analysis
2 Applied Mathematics Letters
2 Science in China. Series A
2 Applications of Mathematics
2 International Journal of Computer Mathematics
2 SIAM Journal on Mathematical Analysis
2 SIAM Review
2 Bulletin of the American Mathematical Society. New Series
2 Computational and Applied Mathematics
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Foundations of Computational Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Numerical Mathematics
2 Oberwolfach Reports
2 GEM - International Journal on Geomathematics
2 S\(\vec{\text{e}}\)MA Journal
2 East Asian Journal on Applied Mathematics
2 Results in Applied Mathematics
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Journal of Engineering Mathematics
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Ukrainian Mathematical Journal
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 The Annals of Statistics
1 Automatica
1 Computing
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal für die Reine und Angewandte Mathematik
1 Meccanica
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Physica D
1 Journal of Complexity
1 Constructive Approximation
1 Computational Mechanics
1 Computational Mathematics and Mathematical Physics
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
1 Proceedings of the National Academy of Sciences of the United States of America
1 Computational Statistics and Data Analysis
1 Journal of Mathematical Imaging and Vision
1 Cybernetics and Systems Analysis
1 St. Petersburg Mathematical Journal
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Taiwanese Journal of Mathematics
1 Fractional Calculus & Applied Analysis
1 Discrete Dynamics in Nature and Society
...and 19 more Serials
all top 5

Cited in 44 Fields

558 Numerical analysis (65-XX)
281 Partial differential equations (35-XX)
106 Fluid mechanics (76-XX)
74 Mechanics of deformable solids (74-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
20 Optics, electromagnetic theory (78-XX)
18 Approximations and expansions (41-XX)
18 Functional analysis (46-XX)
18 Operator theory (47-XX)
13 Combinatorics (05-XX)
13 Operations research, mathematical programming (90-XX)
12 Probability theory and stochastic processes (60-XX)
12 Computer science (68-XX)
12 Biology and other natural sciences (92-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Geophysics (86-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Integral equations (45-XX)
6 Potential theory (31-XX)
5 Ordinary differential equations (34-XX)
5 Statistics (62-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Topological groups, Lie groups (22-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Quantum theory (81-XX)
3 Astronomy and astrophysics (85-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Convex and discrete geometry (52-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Mechanics of particles and systems (70-XX)
1 Information and communication theory, circuits (94-XX)

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