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Lazarov, Raytcho D.

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Author ID: lazarov.raytcho-d Recent zbMATH articles by "Lazarov, Raytcho D."
Published as: Lazarov, R. D.; Lazarov, Raytcho; Lazarov, Raytcho D.; Lazarov, R.; Lazarov, Rajcho D.; Lazarov, Raico D.; Lazarov, Raičo D.; Lazarov, Rajčo D.; Lazarov, Raitcho
Homepage: https://www.math.tamu.edu/~raytcho.lazarov/
External Links: ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp
Documents Indexed: 170 Publications since 1971
4 Contributions as Editor
Reviewing Activity: 129 Reviews
Biographic References: 2 Publications
Co-Authors: 103 Co-Authors with 156 Joint Publications
2,841 Co-Co-Authors
all top 5

Co-Authors

17 single-authored
36 Ewing, Richard Edward
24 Vassilevski, Panayot Spirov
18 Pasciak, Joseph E.
16 Jin, Bangti
14 Zhou, Zhi
12 Efendiev, Yalchin R.
11 Makarov, Volodymyr Leonidovych
9 Iliev, Oleg P.
9 Margenov, Svetozar D.
8 Chatzipantelidis, Panagiotis
7 Willems, Joerg
6 Galvis, Juan
6 Thomée, Vidar
5 Andreev, Andrey Borissov
5 Ginting, Victor
5 Harizanov, Stanislav
4 Carey, Graham Francis
4 Godev, K. N.
4 Lin, Yanping
4 Pehlivanov, A. I.
4 Samarskiĭ, Aleksandr Andreevich
4 Tomov, Stanimire Z.
4 Weinelt, Wilfried
3 Bramble, James H.
3 Chen, Hongsen
3 Chow, Sum S.
3 Douglas, Craig C.
3 Mokin, Yu. I.
3 Moon, Minam
3 Vabishchevich, Pëtr Nikolaevich
3 V”rbanova, E. A.
3 Zikatanov, Ludmil T.
2 Chen, Zhangxin
2 Chernogorova, Tatiana P.
2 Cole, Martin J.
2 Dobrev, Veselin A.
2 Duan, Beiping
2 Gavrilyuk, Ivan P.
2 Jones, Greg
2 Kuznetsov, Yurii Alekseevich
2 Makarov, Valeriĭ Leonidovich
2 Meladze, G. V.
2 Mishev, Ilya D.
2 Petkov, Vesselin M.
2 Petrova, Svetozara I.
2 Pirnazarov, S. P.
2 Racheva, Milena R.
2 Shi, Ke
2 Sinha, Rajen Kumar
2 Vassilev, Apostol T.
1 Bazhlekova, Emilia G.
1 Cai, Zhiqiang
1 Carstensen, Carsten
1 Cockburn, Bernardo
1 Dimov, Ivan Todor
1 Georgiev, Krassimir
1 Gopalakrishnan, Jayadeep
1 Gordeziani, David George
1 Johnson, Chris R.
1 Jun, Hyung Kyu
1 Kachiashvili, Kartlos Joseph
1 Kang, Seul Ki
1 Kanschat, Guido
1 Kantchev, Vesselin
1 Kim, Chisup
1 Kraus, Johannes K.
1 Lin, Tao
1 Liu, Yikan
1 Lu, Peng
1 Lu, Shuai
1 Lu, Xiliang
1 Lymbery, Maria
1 Lyons, Stephen L.
1 Manteuffel, Thomas A.
1 Mao, Youli
1 Matus, Pëtr Paŭlavich
1 McCormick, Steve Fahrney
1 Minev, Peter Dimitrov
1 Naumovich, Anna
1 Panajotov, P. Kh.
1 Papavassiliou, Dimitrios V.
1 Pereverzev, Sergei V.
1 Qin, Guan
1 Ren, Jun
1 Repin, Sergeĭ Igorevich
1 Rundell, William
1 Russell, Thomas F.
1 Rybak, Iryna V.
1 Sarkis, Marcus V.
1 Schöberl, Joachim
1 Sendov, Blagovest Khristov
1 Sheen, Dongwoo
1 Shen, Yun
1 Srinivasan, Shriram
1 Streit, Uwe
1 Takhirov, Aziz
1 Tobiska, Lutz
1 Tomar, Satyendra K.
1 Vutov, Yavor
1 Wahlbin, Lars B.
...and 3 more Co-Authors
all top 5

Serials

16 SIAM Journal on Numerical Analysis
7 Numerische Mathematik
7 Numerical Methods for Partial Differential Equations
7 Numerical Linear Algebra with Applications
7 Computational Methods in Applied Mathematics
6 Mathematics of Computation
5 Computer Methods in Applied Mechanics and Engineering
5 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika
5 Computing
5 Differential Equations
5 Journal of Computational and Applied Mathematics
5 Soviet Mathematics. Doklady
4 Doklady Bolgarskoĭ Akademii Nauk
4 U.S.S.R. Computational Mathematics and Mathematical Physics
4 SIAM Journal on Scientific Computing
4 East-West Journal of Numerical Mathematics
3 IMA Journal of Numerical Analysis
3 Journal of Computational Physics
3 Fractional Calculus & Applied Analysis
2 Computers & Mathematics with Applications
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Applied Numerical Mathematics
2 Mathematica Balkanica. New Series
2 Mathematics of the USSR, Sbornik
2 Computing and Visualization in Science
2 Computational Geosciences
1 Bulletin of the Australian Mathematical Society
1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
1 BIT
1 Differentsial’nye Uravneniya
1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica
1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
1 Teoretichna i Prilozhna Mekhanika
1 SIAM Journal on Scientific and Statistical Computing
1 PLISKA. Studia Mathematica Bulgarica
1 Journal of Complexity
1 Applied Mathematical Modelling
1 Vychislitel’nye Protsessy i Sistemy
1 Computational and Applied Mathematics
1 Multiscale Modeling & Simulation
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Numerical Mathematics: Theory, Methods and Applications

Publications by Year

Citations contained in zbMATH Open

127 Publications have been cited 3,069 times in 2,218 Documents Cited by Year
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
466
2009
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
153
2013
The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi
131
2015
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F.
128
1994
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
128
2016
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
124
2016
Finite volume methods for convection-diffusion problems. Zbl 0847.65075
Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S.
97
1996
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
97
2015
Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.
84
1994
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping
69
2000
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
69
2004
A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
68
1997
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
67
2015
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
66
2012
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
60
2014
Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065
Ewing, R. E.; Lazarov, R. D.; Wang, J.
49
1991
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113
Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
48
2015
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
43
2019
Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. Zbl 0724.65093
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
40
1991
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2001
A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
34
2016
Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M.
33
2013
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi
33
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.
32
2006
A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D.
30
2005
Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112
Carstensen, C.; Lazarov, R.; Tomov, S.
28
2005
Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052
Ewing, R. E.; Lazarov, R. D.; Lin, Y.
27
2000
Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115
Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D.
26
1992
Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079
Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S.
25
1992
Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071
Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T.
24
1994
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
23
2006
Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 06986996
Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y.
22
2018
Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136
Andreev, A. B.; Lazarov, R. D.; Racheva, M. R.
21
2005
Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
20
2009
Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg
20
2011
Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079
Vassilevski, Panayot S.; Lazarov, Raytcho D.
19
1996
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172
Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi
19
2016
A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116
Lazarov, Raytcho; Tomov, Stanimire
18
2002
Superconvergence of the gradient for quadratic triangular finite elements. Zbl 0644.65082
Andreev, A. B.; Lazarov, Raičo D.
18
1988
Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109
Chatzipantelidis, P.; Lazarov, R. D.
18
2005
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
17
1998
Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B.
17
2006
A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112
Ewing, R.; Iliev, O.; Lazarov, R.
16
2001
Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112
Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y.
16
2000
Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041
Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan
16
1999
Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451
Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K.
15
2009
Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
14
2009
Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080
Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S.
14
1990
Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y.
13
1993
Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
13
2001
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197
Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke
13
2015
Application of exact difference schemes for construction and investigation of difference schemes for generalized solutions. Zbl 0494.65055
Lazarov, R. D.; Makarov, V. L.; Samarskij, A. A.
13
1982
Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044
Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho
12
1998
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
A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025
Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg
11
2009
Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. Zbl 0835.65105
Ewing, R. E.; Lazarov, R. D.
11
1993
Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088
Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho
11
1996
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
A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105
Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke
11
2015
Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. Zbl 0721.65047
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
11
1990
Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. Zbl 0726.65137
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
10
1991
Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035
Lazarov, Raytcho; Ye, Xiu
9
2007
Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph
9
2019
Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
9
1994
On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi
9
2017
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S.
8
1997
Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
8
2012
Superconvergence of the gradient of linear finite elements for 3D Poisson equation. Zbl 0672.65088
Kantchev, Vesselin; Lazarov, Raitcho
8
1986
Natural and postprocessed superconvergence in semilinear problems. Zbl 0746.65078
Chow, S.-S.; Carey, G. F.; Lazarov, R. D.
8
1991
Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
8
2013
On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386
Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna
8
2007
On the balancing principle for some problems of numerical analysis. Zbl 1129.65041
Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V.
8
2007
Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059
Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar
8
2013
Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
7
1993
Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061
Lazarov, R. D.; Tomov, S. Z.
7
2001
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D.
7
2012
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
7
2018
On the convergence of difference schemes for the approximation of solutions \(u\in W^ m_ 2 (m>0.5)\) of elliptic equations with mixed derivatives. Zbl 0525.65069
Lazarov, Rajčo D.; Makarov, Vladimir L.; Weinelt, Wilfried
7
1984
Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114
Lazarov, R.; Tomov, S.; Vassilevski, P.
6
2001
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S.
6
2003
A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253
Lazarov, Raytcho; Vabishchevich, Petr
6
2017
On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045
Lazarov, Raytcho D.; Margenov, Svetozar D.
5
2003
Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A.
5
1996
Local superconvergence analysis of the approximate boundary-flux calculation. Zbl 0737.73094
Lazarov, R. D.; Pehlivanov, A. I.
5
1990
Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099
Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg
5
2010
CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. Zbl 1145.65098
Lazarov, R. D.; Margenov, S. D.
5
2007
Dynamic data driven simulations in stochastic environments. Zbl 1122.65006
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R.
5
2006
Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho
5
2020
Adaptive techniques for time-dependent problems. Zbl 0788.65096
Ewing, R. E.; Lazarov, R. D.; Vassilev, A. T.
4
1992
Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080
Ewing, R. E.; Lazarov, R. D.
4
1994
Superconvergence analysis of flux computations for nonlinear problems. Zbl 0676.65096
Chow, S.-S.; Lazarov, R. D.
4
1989
Finite difference schemes on grids with local refinement in time and in space for parabolic problems. Optimal order two-grid iterative methods. Zbl 0829.65112
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
4
1991
Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053
Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D.
4
2007
Convergence of a difference method and the method of lines for multidimensional problems of mathematical physics in classes of generalized solutions. Zbl 0485.65069
Lazarov, R. D.; Makarov, V. L.
4
1981
Estimates of the rate of convergence of difference schemes for fourth- order elliptic equations. Zbl 0541.65064
Gavrilyuk, I. P.; Lazarov, R. D.; Makarov, V. L.; Pirnazarov, S. P.
4
1983
A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar
4
2020
Finite volume methods with local refinement for convection-diffusion problems. Zbl 0807.65113
Lazarov, R. D.; Mishev, I. D.; Vassilevski, P. S.
3
1994
Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129
Lazarov, Raytcho D.; Vassilevski, Panayot S.
3
2002
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
3
2001
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
Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho
5
2020
A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar
4
2020
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E.
2
2020
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph
2
2020
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
43
2019
Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph
9
2019
Multiscale HDG model reduction method for flows in heterogeneous porous media. Zbl 1432.76165
Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu
1
2019
Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 06986996
Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y.
22
2018
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
7
2018
A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media. Zbl 1435.65207
Lazarov, Raytcho; Takhirov, Aziz
2
2018
On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi
9
2017
A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253
Lazarov, Raytcho; Vabishchevich, Petr
6
2017
Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. Zbl 1381.76179
Kanschat, Guido; Lazarov, Raytcho; Mao, Youli
3
2017
Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030
1
2017
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
128
2016
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
124
2016
A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
34
2016
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi
33
2016
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172
Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi
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
Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. Zbl 1361.65060
Srinivasan, Shriram; Lazarov, Raytcho; Minev, Peter
3
2016
The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi
131
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
97
2015
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
67
2015
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113
Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
48
2015
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197
Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke
13
2015
A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105
Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke
11
2015
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
60
2014
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
153
2013
Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M.
33
2013
Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
8
2013
Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059
Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar
8
2013
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
66
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
Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
8
2012
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D.
7
2012
Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg
20
2011
Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099
Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg
5
2010
Discontinuous Galerkin subgrid finite element method for heterogeneous Brinkman’s equations. Zbl 1280.76061
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg
2
2010
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho
466
2009
Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
20
2009
Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451
Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K.
15
2009
Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
14
2009
A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025
Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg
11
2009
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
Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035
Lazarov, Raytcho; Ye, Xiu
9
2007
On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386
Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna
8
2007
On the balancing principle for some problems of numerical analysis. Zbl 1129.65041
Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V.
8
2007
CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. Zbl 1145.65098
Lazarov, R. D.; Margenov, S. D.
5
2007
Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053
Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D.
4
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.
32
2006
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
23
2006
Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B.
17
2006
Dynamic data driven simulations in stochastic environments. Zbl 1122.65006
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R.
5
2006
Postprocessing and improved accuracy of the lowest-order mixed finite element approximation for biharmonic eigenvalues. Zbl 1142.65438
Andreev, Andrey; Lazarov, Raytcho; Racheva, Milena
2
2006
A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D.
30
2005
Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112
Carstensen, C.; Lazarov, R.; Tomov, S.
28
2005
Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136
Andreev, A. B.; Lazarov, R. D.; Racheva, M. R.
21
2005
Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109
Chatzipantelidis, P.; Lazarov, R. D.
18
2005
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.
69
2004
Upscaled modeling in multiphase flow applications. Zbl 1213.76196
Ginting, V.; Ewing, R.; Efendiev, Y.; Lazarov, R.
1
2004
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S.
6
2003
On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045
Lazarov, Raytcho D.; Margenov, Svetozar D.
5
2003
A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116
Lazarov, Raytcho; Tomov, Stanimire
18
2002
Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129
Lazarov, Raytcho D.; Vassilevski, Panayot S.
3
2002
The finite volume element method in nonconvex polygonal domains. Zbl 1118.65385
Chatzipantelidis, P.; Lazarov, R. D.
2
2002
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2001
A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112
Ewing, R.; Iliev, O.; Lazarov, R.
16
2001
Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
13
2001
Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061
Lazarov, R. D.; Tomov, S. Z.
7
2001
Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114
Lazarov, R.; Tomov, S.; Vassilevski, P.
6
2001
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
3
2001
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping
69
2000
Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052
Ewing, R. E.; Lazarov, R. D.; Lin, Y.
27
2000
Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112
Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y.
16
2000
On the discretization of interface problems with perfect and imperfect contact. Zbl 1014.76061
Chernogorova, Tatiana; Ewing, Richard E.; Iliev, Oleg; Lazarov, Raytcho
2
2000
Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041
Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan
16
1999
Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. Zbl 1052.65554
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
2
1999
Finite volume element approximations of integro-differential parabolic problems. Zbl 0980.65150
Ewing, Richard E.; Lazarov, Raytcho D.; Lin, Yanping
1
1999
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
17
1998
Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044
Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho
12
1998
A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E.
68
1997
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S.
8
1997
Finite volume methods for convection-diffusion problems. Zbl 0847.65075
Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S.
97
1996
Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079
Vassilevski, Panayot S.; Lazarov, Raytcho D.
19
1996
Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088
Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho
11
1996
Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A.
5
1996
Domain splitting algorithm for mixed finite element approximations to parabolic problems. Zbl 0878.65081
Chen, H.; Lazarov, R. D.
3
1996
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F.
128
1994
Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.
84
1994
Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071
Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T.
24
1994
Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
9
1994
Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080
Ewing, R. E.; Lazarov, R. D.
4
1994
Finite volume methods with local refinement for convection-diffusion problems. Zbl 0807.65113
Lazarov, R. D.; Mishev, I. D.; Vassilevski, P. S.
3
1994
Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069
Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S.
2
1994
Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y.
13
1993
Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. Zbl 0835.65105
Ewing, R. E.; Lazarov, R. D.
11
1993
Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
7
1993
Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115
Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D.
26
1992
Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079
Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S.
25
1992
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Cited by 2,420 Authors

55 Cockburn, Bernardo
39 Lazarov, Raytcho D.
33 Wang, Hong
33 Ye, Xiu
32 Chung, Tsz Shun Eric
31 Zhou, Zhi
27 Zhang, Zhimin
25 Jin, Bangti
24 Chen, Yanping
24 Efendiev, Yalchin R.
23 Li, Hong
22 Stynes, Martin
21 Bi, Chunjia
20 Liu, Yang
20 Nguyen, Ngoc Cuong
19 Ern, Alexandre
19 Liu, Fawang
19 Yuan, Yirang
18 Chen, Chuanjun
18 Chen, Zhangxin
18 Rui, Hongxing
17 Ewing, Richard Edward
17 Wang, Junping
17 Zhang, Yangwen
17 Zheng, Xiangcheng
16 Xie, Xiaoping
16 Yang, Min
15 Di Pietro, Daniele Antonio
15 Galvis, Juan
15 Xu, Da
14 Lamichhane, Bishnu Prasad
14 Li, Buyang
14 Margenov, Svetozar D.
14 Vabishchevich, Pëtr Nikolaevich
14 Vassilevski, Panayot Spirov
14 Yan, Yubin
14 Yang, Suh-Yuh
13 Antonietti, Paola Francesca
13 Huang, Yunqing
13 Li, Jian
13 Mu, Lin
13 Park, Eun-Jae
13 Shi, Dongyang
12 Dehghan Takht Fooladi, Mehdi
12 Fu, Hongfei
12 Guo, Hui
12 Ku, Jaeun
12 Li, Zi-Cai
12 Liao, HongLin
12 Rhebergen, Sander
12 Singler, John R.
12 Wohlmuth, Barbara I.
12 Yang, Danping
11 Deng, Weihua
11 Huerta, Antonio
11 Jeon, Youngmok
11 Karniadakis, George Em
11 Kraus, Johannes K.
11 Leung, Wingtat
11 Li, Changpin
11 Lu, Shujuan
11 Qiu, Weifeng
11 Shi, Ke
11 Turner, Ian William
11 Zhang, Jiwei
11 Zhang, Shangyou
11 Zou, Qingsong
10 Bradji, Abdallah
10 Bui-Thanh, Tan
10 Carey, Graham Francis
10 Chen, Gang
10 Chen, Hu
10 Fu, Guosheng
10 Gaspar, Francisco José
10 Ginting, Victor
10 Li, Binjie
10 Li, Yonghai
10 Pani, Amiya Kumar
10 Sevilla, Ruben
10 Xu, Jinchao
10 Zhang, Zhiyue
10 Zhao, Yanmin
10 Zikatanov, Ludmil T.
9 Beirão da Veiga, Lourenço
9 Burman, Erik
9 Calo, Victor Manuel
9 Du, Qiang
9 Gracia, José Luis
9 Gunzburger, Max D.
9 Karaa, Samir
9 Kronbichler, Martin
9 Li, Changfeng
9 Liang, Dong
9 Lin, Yanping
9 Lyu, Pin
9 Sayas, Francisco-Javier
9 Vong, Seakweng
9 Zeng, Fanhai
8 Chen, An
8 Chen, Huanzhen
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