The analysis of multigrid algorithms for cell centered finite difference methods
Copyright policy )The analysis of multigrid algorithms for cell centered finite difference methods
A multigrid algorithm for cell centered finite difference approximations is examined. The cell centered discretization gives rise to a non-variational multigrid algorithm. It is shown that the \(W\)-cycle and variable \(V\)-cycle converge with a rate which is independent of the number of multilevel spaces. In contrast, the natural variational multigrid method converges much more slowly.
- The University of Texas System United States
- Brookhaven National Laboratory United States
- Texas A&M University United States
Finite difference methods for boundary value problems involving PDEs, Multigrid methods; domain decomposition for boundary value problems involving PDEs, convergence, \(V\)-cycle, multigrid algorithm, Stability and convergence of numerical methods for boundary value problems involving PDEs, cell centered finite difference approximations, \(W\)-cycle
Finite difference methods for boundary value problems involving PDEs, Multigrid methods; domain decomposition for boundary value problems involving PDEs, convergence, \(V\)-cycle, multigrid algorithm, Stability and convergence of numerical methods for boundary value problems involving PDEs, cell centered finite difference approximations, \(W\)-cycle
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