Abstract
In this paper we present a parallel preconditioner for the standard Finite Volume (FV) discretization of elliptic problems, using the standard continuous piecewise linear Finite Element (FE) function space. The proposed preconditioner is constructed using an abstract framework of the Additive Schwarz Method, and is fully parallel. The convergence rate of the Generalized Minimal Residual (GMRES) method with this preconditioner is shown to be almost optimal, i.e., it depends poly-logarithmically on the mesh sizes. © 2014 Springer-Verlag.
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CITATION STYLE
Marcinkowski, L., & Rahman, T. (2014). Parallel preconditioner for the finite volume element discretization of elliptic problems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8385 LNCS, pp. 469–478). Springer Verlag. https://doi.org/10.1007/978-3-642-55195-6_44
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