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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, Ludmil; Zikatanov, Ludmil T.; Zikatanov, L. T.; Zikatanov, L.
Homepage: http://www.personal.psu.edu/ltz1/
External Links: MGP · ORCID · Math-Net.Ru · dblp

Publications by Year

Citations contained in zbMATH Open

68 Publications have been cited 1,125 times in 782 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
109
2002
A monotone finite element scheme for convection-diffusion equations. Zbl 0931.65111
Xu, Jinchao; Zikatanov, Ludmil
98
1999
Some observations on Babuška and Brezzi theories. Zbl 1028.65115
Xu, Jinchao; Zikatanov, Ludmil
94
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.
52
2005
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
44
2017
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.
42
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.
39
2016
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.
38
2005
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
35
2005
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.
33
2006
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
27
1998
Interface and mixed boundary value problems on \(n\)-dimensional polyhedral domains. Zbl 1207.35117
Bacuta, C.; Mazzucato, A. L.; Nistor, V.; Zikatanov, L.
25
2010
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.
24
2018
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
24
2007
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
24
2004
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.
21
2007
Mathematical models for the deformation of electrolyte droplets. Zbl 1147.35343
Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil
20
2007
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
20
2003
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
19
2016
Uniformly convergent iterative methods for discontinuous Galerkin discretizations. Zbl 1203.65242
Ayuso de Dios, Blanca; Zikatanov, Ludmil
19
2009
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
16
2014
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
15
2014
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
14
2008
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
14
2017
On the convergence of iterative methods for semidefinite linear systems. Zbl 1122.65033
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
14
2006
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.
14
2020
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
Robust block preconditioners for Biot’s model. Zbl 1442.65342
Adler, James H.; Gaspar, Francisco J.; Hu, Xiaozhe; Rodrigo, Carmen; Zikatanov, Ludmil T.
13
2018
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
12
2016
Two-sided bounds on the convergence rate of two-level methods. Zbl 1212.65503
Zikatanov, L. T.
12
2008
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. Zbl 1259.65190
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
12
2012
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
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.
10
2017
Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs. Zbl 1281.65152
Brannick, J.; Chen, Y.; Kraus, J.; Zikatanov, L.
10
2013
Weak approximation properties of elliptic projections with functional constraints. Zbl 1244.65215
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
10
2011
Parallel unsmoothed aggregation algebraic multigrid algorithms on GPUs. Zbl 1275.65084
Brannick, James; Chen, Yao; Hu, Xiaozhe; Zikatanov, Ludmil
9
2013
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
8
2008
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.
7
2010
Robust solvers for Maxwell’s equations with dissipative boundary conditions. Zbl 1395.65067
Adler, J. H.; Hu, X.; Zikatanov, L. T.
6
2017
On multigrid methods for generalized finite element methods. Zbl 1012.65131
Xu, Jinchao; Zikatanov, Ludmil T.
6
2002
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
An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching. Zbl 1274.65314
Brannick, James; Chen, Yao; Zikatanov, Ludmil
6
2012
Spectral bisection of graphs and connectedness. Zbl 1286.05101
Urschel, John C.; Zikatanov, Ludmil T.
6
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
6
2013
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.
6
2015
A multilevel precondition for generalized finite element method problems on unstructured simplicial meshes. Zbl 1156.65095
Cho, D.; Zikatanov, L.
5
2007
On the validity of the local Fourier analysis. Zbl 1449.65374
Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T.
5
2019
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
Multiple vector preserving interpolation mappings in algebraic multigrid. Zbl 1102.65040
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2006
Commuting projections on graphs. Zbl 1340.65062
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2014
Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075
Adler, J. H.; Petkov, V.; Zikatanov, L. T.
4
2013
Partition of unity method on nonmatching grids for the Stokes problem. Zbl 1148.76305
Bacuta, C.; Chen, J.; Huang, Y.; Xu, J.; Zikatanov, L.
4
2005
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
An adaptive multigrid method based on path cover. Zbl 1428.65106
Hu, Xiaozhe; Lin, Junyuan; Zikatanov, Ludmil T.
3
2019
On the maximal error of spectral approximation of graph bisection. Zbl 1352.05120
Urschel, John C.; Zikatanov, Ludmil T.
3
2016
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
Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations. Zbl 1467.65114
Wang, Chunmei; Zikatanov, Ludmil
3
2021
A finite element framework for some mimetic finite difference discretizations. Zbl 1443.65285
Rodrigo, Carmen; Gaspar, F. J.; Hu, X.; Zikatanov, L.
2
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.
2
2013
Circulant block-factorization preconditioning of anisotropic elliptic problems. Zbl 0879.65022
Lirkov, I. D.; Margenov, S. D.; Zikatanov, L. T.
2
1997
On the approximation of Laplacian eigenvalues in graph disaggregation. Zbl 1369.05135
Hu, Xiaozhe; Urschel, John C.; Zikatanov, Ludmil T.
1
2017
Adaptive aggregation on graphs. Zbl 1432.65178
Xu, Wenfang; Zikatanov, Ludmil T.
1
2018
Convergence analysis of iterative methods for semidefinite systems. Zbl 1174.65013
Wu, Jinbiao; Lee, Youngju; Xu, Jinchao; Zikatanov, Ludmil
1
2008
New stabilized discretizations for poroelasticity equations. Zbl 1422.65256
Gaspar, Francisco J.; Rodrigo, Carmen; Hu, Xiaozhe; Ohm, Peter; Adler, James; Zikatanov, Ludmil
1
2019
Auxiliary space preconditioning for mixed finite element discretizations of Richards’ equation. Zbl 1446.65106
Batista, Juan; Hu, Xiaozhe; Zikatanov, Ludmil T.
1
2020
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
Locking-free enriched Galerkin method for linear elasticity. Zbl 1483.65195
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil
1
2022
Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model. Zbl 1493.65157
Li, Yuwen; Zikatanov, Ludmil T.
1
2022
Locking-free enriched Galerkin method for linear elasticity. Zbl 1483.65195
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil
1
2022
Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model. Zbl 1493.65157
Li, Yuwen; Zikatanov, Ludmil T.
1
2022
Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations. Zbl 1467.65114
Wang, Chunmei; Zikatanov, Ludmil
3
2021
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.
14
2020
Auxiliary space preconditioning for mixed finite element discretizations of Richards’ equation. Zbl 1446.65106
Batista, Juan; Hu, Xiaozhe; Zikatanov, Ludmil T.
1
2020
On the validity of the local Fourier analysis. Zbl 1449.65374
Rodrigo, Carmen; Gaspar, Francisco J.; Zikatanov, Ludmil T.
5
2019
An adaptive multigrid method based on path cover. Zbl 1428.65106
Hu, Xiaozhe; Lin, Junyuan; Zikatanov, Ludmil T.
3
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.
24
2018
Robust block preconditioners for Biot’s model. Zbl 1442.65342
Adler, James H.; Gaspar, Francisco J.; Hu, Xiaozhe; Rodrigo, Carmen; Zikatanov, Ludmil T.
13
2018
Adaptive aggregation on graphs. Zbl 1432.65178
Xu, Wenfang; Zikatanov, Ludmil T.
1
2018
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
44
2017
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.
42
2017
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
14
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.
10
2017
Robust solvers for Maxwell’s equations with dissipative boundary conditions. Zbl 1395.65067
Adler, J. H.; Hu, X.; Zikatanov, L. T.
6
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.
39
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
19
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
12
2016
On the maximal error of spectral approximation of graph bisection. Zbl 1352.05120
Urschel, John C.; Zikatanov, Ludmil T.
3
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.
6
2015
A finite element framework for some mimetic finite difference discretizations. Zbl 1443.65285
Rodrigo, Carmen; Gaspar, F. J.; Hu, X.; Zikatanov, L.
2
2015
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
16
2014
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
15
2014
Spectral bisection of graphs and connectedness. Zbl 1286.05101
Urschel, John C.; Zikatanov, Ludmil T.
6
2014
Commuting projections on graphs. Zbl 1340.65062
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2014
Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs. Zbl 1281.65152
Brannick, J.; Chen, Y.; Kraus, J.; Zikatanov, L.
10
2013
Parallel unsmoothed aggregation algebraic multigrid algorithms on GPUs. Zbl 1275.65084
Brannick, James; Chen, Yao; Hu, Xiaozhe; Zikatanov, Ludmil
9
2013
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
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
6
2013
Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075
Adler, J. H.; Petkov, V.; Zikatanov, L. T.
4
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.
2
2013
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. Zbl 1259.65190
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
12
2012
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
An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching. Zbl 1274.65314
Brannick, James; Chen, Yao; Zikatanov, Ludmil
6
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.
10
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.
25
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.
7
2010
Uniformly convergent iterative methods for discontinuous Galerkin discretizations. Zbl 1203.65242
Ayuso de Dios, Blanca; Zikatanov, Ludmil
19
2009
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
14
2008
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
Two-sided bounds on the convergence rate of two-level methods. Zbl 1212.65503
Zikatanov, L. T.
12
2008
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
8
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
24
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.
21
2007
Mathematical models for the deformation of electrolyte droplets. Zbl 1147.35343
Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil
20
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.
33
2006
On the convergence of iterative methods for semidefinite linear systems. Zbl 1122.65033
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
14
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.
52
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.
38
2005
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
35
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.
4
2005
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
24
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
94
2003
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
20
2003
The method of alternating projections and the method of subspace corrections in Hilbert space. Zbl 0999.47015
Xu, Jinchao; Zikatanov, Ludmil
109
2002
On multigrid methods for generalized finite element methods. Zbl 1012.65131
Xu, Jinchao; Zikatanov, Ludmil T.
6
2002
A monotone finite element scheme for convection-diffusion equations. Zbl 0931.65111
Xu, Jinchao; Zikatanov, Ludmil
98
1999
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
27
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 1,107 Authors

39 Xu, Jinchao
35 Zikatanov, Ludmil T.
24 Hu, Xiaozhe
21 Li, Hengguang
18 Nistor, Victor
18 Vassilevski, Panayot Spirov
17 Brenner, Susanne Cecelia
14 Bacuta, Constantin
14 Kraus, Johannes K.
13 Shu, Shi
13 Zhang, Zhimin
12 Antonietti, Paola Francesca
11 Castelletto, Nicola
10 Ferronato, Massimiliano
10 Lee, Youngju
10 Schwab, Christoph
9 Adler, James H.
9 He, Wenming
9 Hong, Qingguo
9 Scheichl, Robert
8 Chen, Long
8 Lymbery, Maria
8 Margenov, Svetozar D.
8 Rodrigo, Carmen
8 Sacco, Riccardo
8 Zhang, Chensong
8 Zou, Qingsong
7 Burman, Erik
7 Cui, Jintao
7 Galvis, Juan
7 Gaspar, Francisco José
7 Langer, Ulrich
7 Liu, Chun
7 MacLachlan, Scott P.
7 Needell, Deanna
7 Wheeler, Mary Fanett
7 White, Joshua A.
6 Franceschini, Andrea
6 Frigo, Matteo
6 Lazarov, Raytcho D.
6 Manteuffel, Thomas A.
6 Nicaise, Serge
6 Urban, Karsten
6 Veeser, Andreas
6 Wu, Shuonan
5 Barrenechea, Gabriel R.
5 Kahl, Karsten
5 Korotov, Sergey
5 Kumar, Kundan
5 Mardal, Kent-Andre
5 Nochetto, Ricardo Horacio
5 Nordbotten, Jan Martin
5 Notay, Yvan
5 Rozza, Gianluigi
5 Ruiz-Baier, Ricardo
5 Southworth, Ben S.
5 Wu, Jinbiao
5 Xiao, Yingxiong
5 Xu, Xiaowen
5 Yue, Xiaoqiang
5 Zhu, Yunrong
4 Ayuso de Dios, Blanca
4 Chen, Minghua
4 D’Ambra, Pasqua
4 Dryja, Maksymilian
4 Farrell, Patrick Emmet
4 Guermond, Jean-Luc
4 Guzmán, Johnny
4 Hsieh, Chia-Yu
4 Janna, Carlo
4 Kolev, Tzanio V.
4 Lee, Chiun-Chang
4 Lee, Sanghyun
4 Li, Yuwen
4 Müller, Fabian Lukas
4 Napov, Artem
4 Neumüller, Martin
4 Olson, Luke N.
4 Peterseim, Daniel
4 Qiao, Yu
4 Radu, Florin Adrian
4 Rapún, María-Luisa
4 Sayas, Francisco-Javier
4 Simoncini, Valeria
4 Tuminaro, Raymond S.
4 Vejchodský, Tomáš
4 Verani, Marco
4 Verri, Maurizio
4 Wang, Chunmei
4 Wei, Yimin
4 Zhao, Jihong
3 Abdulle, Assyr
3 Almani, Tameem
3 Ammann, Bernd Eberhard
3 Ayuso, Blanca
3 Badea, Catalin
3 Bastian, Peter
3 Bochev, Pavel B.
3 Boon, Wietse M.
3 Both, Jakub Wiktor
...and 1,007 more Authors
all top 5

Cited in 139 Serials

64 SIAM Journal on Scientific Computing
48 Computer Methods in Applied Mechanics and Engineering
44 Journal of Computational and Applied Mathematics
43 Computers & Mathematics with Applications
38 Journal of Computational Physics
38 Numerische Mathematik
38 Journal of Scientific Computing
37 Mathematics of Computation
37 Numerical Linear Algebra with Applications
28 SIAM Journal on Numerical Analysis
18 Computational Geosciences
17 Linear Algebra and its Applications
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Computational Methods in Applied Mathematics
12 Calcolo
10 Numerical Methods for Partial Differential Equations
9 Applied Mathematics and Computation
8 Applied Numerical Mathematics
8 SIAM Journal on Matrix Analysis and Applications
8 Numerical Algorithms
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 BIT
7 ETNA. Electronic Transactions on Numerical Analysis
7 Advances in Computational Mathematics
6 Advances in Applied Mathematics and Mechanics
5 Journal of Mathematical Analysis and Applications
5 Journal of Approximation Theory
5 Mathematics and Computers in Simulation
5 Computing and Visualization in Science
4 Mathematical Methods in the Applied Sciences
4 Journal of Differential Equations
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Central European Journal of Mathematics
4 Multiscale Modeling & Simulation
4 East Asian Journal on Applied Mathematics
4 Results in Applied Mathematics
3 Inverse Problems
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerical Functional Analysis and Optimization
3 SIAM Journal on Mathematical Analysis
3 Computational and Applied Mathematics
3 Discrete and Continuous Dynamical Systems
3 Acta Numerica
3 Science China. Mathematics
2 Journal of Mathematical Physics
2 Czechoslovak Mathematical Journal
2 Integral Equations and Operator Theory
2 International Journal for Numerical Methods in Engineering
2 Journal of Functional Analysis
2 Computational Mechanics
2 Applied Mathematics Letters
2 Science in China. Series A
2 Applications of Mathematics
2 International Journal of Computer Mathematics
2 SIAM Review
2 Bulletin of the American Mathematical Society. New Series
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of Evolution Equations
2 Foundations of Computational Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Numerical Mathematics
2 Oberwolfach Reports
2 Boundary Value Problems
2 Communications in Computational Physics
2 GEM - International Journal on Geomathematics
2 S\(\vec{\text{e}}\)MA Journal
2 SIAM/ASA Journal on Uncertainty Quantification
2 SMAI Journal of Computational Mathematics
2 Communications on Applied Mathematics and Computation
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 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 Annals of Global Analysis and Geometry
1 Journal of Computational Mathematics
1 Physica D
1 Journal of Complexity
1 Constructive Approximation
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Geometric Analysis
1 Computational Mathematics and Mathematical Physics
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
...and 39 more Serials
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Cited in 45 Fields

672 Numerical analysis (65-XX)
325 Partial differential equations (35-XX)
150 Fluid mechanics (76-XX)
96 Mechanics of deformable solids (74-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
25 Optics, electromagnetic theory (78-XX)
21 Approximations and expansions (41-XX)
21 Functional analysis (46-XX)
18 Operator theory (47-XX)
18 Computer science (68-XX)
18 Operations research, mathematical programming (90-XX)
16 Combinatorics (05-XX)
15 Probability theory and stochastic processes (60-XX)
14 Biology and other natural sciences (92-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 Geophysics (86-XX)
8 Integral equations (45-XX)
7 Potential theory (31-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Statistics (62-XX)
6 Ordinary differential equations (34-XX)
6 Statistical mechanics, structure of matter (82-XX)
4 Real functions (26-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
3 Topological groups, Lie groups (22-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Quantum theory (81-XX)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 \(K\)-theory (19-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Convex and discrete geometry (52-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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