Multigrid algorithm for cell centered finite difference on triangular meshes1

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摘要

We consider a multigrid algorithm for the cell centered difference scheme on triangular meshes using a new prolongation operator. The energy norm of this prolongation is shown to be less than 2. Thus the W-cycle is guaranteed to converge. Numerical experiments show that our operator is better than the trivial injection.

论文关键词:65N30,65F10,Cell centered methods,Finite volume methods,Multigrid methods,W-cycle

论文评审过程:Received 10 June 1998, Accepted 20 June 1998, Available online 4 August 1999.

论文官网地址:https://doi.org/10.1016/S0096-3003(98)10094-2