Two‐grid covolume schemes for elliptic problems

DOI10.1002/cnm.822zbMath1092.65109OpenAlexW2107071308MaRDI QIDQ5467005

Cheng Wang, Li-Kang Li, Zi-Ping Huang

Publication date: 23 May 2006

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.822

zbMATH Keywords

convergencenumerical experimentsparallel computationtwo-grid discretizationsecond order elliptic problemsa priori errorcovolume method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Parallel numerical computation (65Y05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• Multigrid algorithms for a vertex-centered covolume method for elliptic problems
• Mixed Covolume Methods for Elliptic Problems on Triangular Grids
• A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems
• Analysis and convergence of a covolume method for the generalized Stokes problem