A finite volume convergence theory for the fast adaptive composite grid methods

DOI10.1016/0168-9274(94)90020-5zbMath0811.65087OpenAlexW2001291856WikidataQ128109771 ScholiaQ128109771MaRDI QIDQ1330486

Ulrich Rüde, Stephen F. McCormick

Publication date: 2 May 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)90020-5

zbMATH Keywords

convergencefinite volume element methodfast adaptive composite grid methodsGalerkin finite element discretizationsselfadjoint elliptic systems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• A preconditioning technique for the efficient solution of problems with local grid refinement
• On first and second order box schemes
• Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas
• The Finite Volume Element Method for Diffusion Equations on General Triangulations
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations
• Some Error Estimates for the Box Method
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