Analysis of Explicit/Implicit, Block Centered Finite Difference Domain Decomposition Procedures for Parabolic Problems
Dawson, Clint N.
Dupont, Todd F.
Domain decomposition procedures for solving parabolic equations are considered. The underlying discretization is block-centered finite differences. In this procedures, fluxes at subdomain interfaces are calculated from the solution at the previous time level. These fluxes serve as Neumann boundary data for implicit, block-centered discretizations in the subdomains. A priori error estimates are derived, and numerical results examining the stability, accuracy, and parallelism of the scheme are presented.
Citable link to this pagehttps://hdl.handle.net/1911/101737
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