
- Convergence analysis on iterative methods for semidefinite systems (LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China)
- Partition of Unity Methods for Nonmatching Grids , Y. Huangc
- NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Numer. Linear Algebra Appl. 2003; 10:181195 (DOI: 10.1002/nla.317)
- New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models q
- COMMUNICATIONS IN COMPUTATIONAL PHYSICS Vol. 6, No. 5, pp. 1095-1117
- Some Analyses of the Augmented GMRES Method Zhongxiao Jia
- J Sci Comput DOI 10.1007/s10915-009-9337-6
- SIAM J. ScI. COMPUT. Vol. 15, No. 1, pp. 172-184, January 1994
- MATHEMATICS OF COMPUTATION Volume 69, Number 231, Pages 881909
- NONCONFORMING TETRAHEDRAL FINITE ELEMENTS FOR FOURTH ORDER ELLIPTIC EQUATIONS
- VTEX(VR) PIPS No:5381837 artty:res (Kluwer DORDRECHT v.2004/04/14) acom209.tex; 7/07/2004; 9:18; p. 1
- A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell
- Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. NUMER. ANAL. c 2007 Society for Industrial and Applied Mathematics
- SIAM J. ScI. COMPUT. Vol. 15, No. 1, pp. 231-237, January 1994
- 83] Verfurth, R., The contraction number of a multigrid method with mesh ratio 2 for solving the Poisson equation, Linear Algebra Appl., 60(1984), 332-348.
- UNIFORMLY CONVERGENT MULTIGRID METHODS FOR CONVECTION-DIFFUSION PROBLEMS WITHOUT ANY
- Contemporary Mathematics An Optimal Streamline Diffusion Finite Element Method for
- MATHEMATICS OF COMPUTATION Volume 76, Number 257, January 2007, Pages 179204
- Numerische Mathematik manuscript No. (will be inserted by the editor)
- with initial condition uH( t0) = (QHuh)( t0) for some t0 > 0. The above systems may be decoupled by choosing appropriate time discretizations.
- REGULARITY ESTIMATES FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH SMOOTH DATA ON POLYGONAL DOMAINS
- INSTITUTE OF PHYSICS PUBLISHING CLASSICAL AND QUANTUM GRAVITY Class. Quantum Grav. 23 (2006) 251285 doi:10.1088/0264-9381/23/1/013
- Numer. Math. (2006) 103: 155169 DOI 10.1007/s00211-005-0662-x
- ASYMPTOTICALLY EXACT A POSTERIORI ERROR ESTIMATORS, PART I: GRIDS WITH SUPERCONVERGENCE
- MATHEMATICS OF COMPUTATION S 0025-5718(03)01600-4
- JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
- 9] M. Marion, Approximateinertialmanifoldsforreaction-di usionequationsinhighspacedimension, J. Dynamics and Di erential Equations, 1 (1989), 245-267.
- Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. APPL. MATH. c 2009 Society for Industrial and Applied Mathematics
- ASYMPTOTICALLY EXACT A POSTERIORI ERROR ESTIMATORS, PART II: GENERAL UNSTRUCTURED GRIDS
- 24] J. Frehse & R. Rannacher, \Asymptotic L1-error estimates for linear nite element approximations of quasi-linear boundary value problems," Siam J. Numer. Anal.15
- ON THE CONVERGENCE OF ITERATIVE METHODS FOR SEMI-DEFINITE LINEAR SYSTEMS
- DRAFT FOR IEEE 1 Asymptotically Optimal and Liner-time
- Some n-Rectangle Nonconforming Elements for Fourth Order Elliptic Equations
- GALERKIN-WAVELET METHODS FOR TWO-POINT BOUNDARY VALUE PROBLEMS*
- A Monotone Finite Element Scheme for Convection-Diffusion Equations Author(s): Jinchao Xu and Ludmil Zikatanov
- DEPARTMENT OF MATHEMATICS
- Journal of Computational Mathematics, Vol.19, No.1, 2001, 87100. CONVERGENCE OF AN EXPLICIT UPWIND FINITE ELEMENT
- Numer. Math. (2008) 110:313355 DOI 10.1007/s00211-008-0169-3
- *Correspondence to: Hwai-Ping Cheng, Department of Civil and Environmental Engineering, The Pennsylvania State University, University Park, PA 16802, U.S.A. E-mail: hpc@darcy.cee.psu.edu
- A Two-grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous
- Local and Parallel Finite Element Algorithms for the Stokes Faculty of Science
- Advances in Computational Mathematics 14: 293327, 2001. 2001 Kluwer Academic Publishers. Printed in the Netherlands.
- UNCORRECTED 2 An application of multigrid methods for a discrete
- Digital Object Identifier (DOI) 10.1007/s00791-004-0147-y Comput Visual Sci 7: 121127 (2004)
- Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
- File : note December 11, 1991
- AN INTRODUCTION TO MULTIGRID CONVERGENCE THEORY JINCHAO XU y
- Acknowledgement. The authors wish to thank Dr. Dehao Yu for discussions. 1] J. Bramble, J. Pasciak, and A. Schatz. The construction of preconditioners for elliptic problems
- Some Local and Parallel Properties of Finite Element Discretizations
- SOME NONOVERLAPPING DOMAIN DECOMPOSITION JINCHAO XU AND JUN ZOU
- A CROSSWIND BLOCK ITERATIVE METHOD FOR CONVECTION-DOMINATED PROBLEMS
- DEPARTMENT OF MATHEMATICS
- AMG and construction of coarse grids and related stuff LUDMIL T. ZIKATANOV
- MATHEMATICS OF COMPUTATION Volume 72, Number 243, Pages 10571066
- DEPARTMENT OF MATHEMATICS
- POSITIVITY PRESERVING SCHEMES FOR THE RATE-TYPE NON-NEWTONIAN FLUIDS
- Multilevel Homotopic Adaptive Finite Element Methods for Convection Dominated Problems
- Non-contact, minimum invasive technique for the assessment of mechanical properties of single cardiac myocyte via magnetic field
- Extending the applicability of multigrid methods J Brannick1, M Brezina1, R Falgout2, T Manteuffel1, S McCormick1,
- MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000000
- An algebraic multigrid method for higher order finite element discretizations
- Newton's method for a two phase mixture model with nonlinear discontinuous degenerate diffusion coefficient
- Algebraic Multigrid Methods and Preconditioned Conjugate Gradient Algorithm for Lattice Block
- ON THE WELL-POSEDNESS OF A MATHEMATICAL MODEL FOR LITHIUM-ION BATTERY SYSTEMS
- May 11, 2007 18:44 Xu.J;Zhu.Y2007 Uniform convergent multigrid methods for elliptic problems
- 938 IEEE TRANSACTIONS ON MAGNETICS, VOL. 44, NO. 6, JUNE 2008 Auxiliary Space Preconditioning for Edge Elements
- MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000000
- Journal of Computational Mathematics, Vol.26, No.3, 2008, 437455. UNIFORMLY-STABLE FINITE ELEMENT METHODS FOR
- MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000000
- Auxiliary Space Preconditioners for Mixed Finite Element Methods
- Analysis of Linear and Quadratic Finite Volume Methods for Elliptic Equations
- Scientists Model the Molecular Basis of Parkinson's Disease
- Newton-Krylov-Multigrid Algorithms for Battery Simulation , Venkat Srinivasan2,#
- Optimal algorithms for discretized partial differential equations Jinchao Xu
- Analysis of Recovery Type A Posteriori Error Estimators for Mildly Structured Grids
- ITERATIVE METHODS BY MULTIGRID AND DOMAIN DECOMPOSITION METHODS
- Computing56, 215-235(1996) ~ 1 ~ 9 Springer-Veflag1996
- A PARTITION-OF-UNITY FNITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH HIGHLY OSCILLATING
- NEW ADAPTIVE FINITE VOLUME METHODS AND CONVERGENCE JINCHAO XU, YUNRONG ZHU, AND QINGSONG ZOU
- Journal of Computational and Applied Mathematics 128 (2001) 335362 www.elsevier.nl/locate/cam
- A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem
- Local and Parallel Finite Element Algorithms for the Navier-Stokes Problem
- The Analysis of Multigrid Algorithms for Nonsymmetric and Indefinite Elliptic Problems Author(s): James H. Bramble, Joseph E. Pasciak, Jinchao Xu