An additive Schwarz preconditioner for the spectral element ocean model formulation of the shallow water equations

Craig C. Douglas, Gundolf Haase, Mohamed Iskandarani

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We discretize the shallow water equations with an Adams-Bashford scheme combined with the Crank-Nicholson scheme for the time derivatives and spectral elements for the discretization in space. The resulting coupled system of equations will be reduced to a Schur complement system with a special structure of the Schur complement. This system can be solved with a preconditioned conjugate gradients, where the matrix-vector product is only implicitly given. We derive an overlapping block preconditioner based on additive Schwarz methods for preconditioning the reduced system.

Original languageEnglish (US)
Pages (from-to)18-28
Number of pages11
JournalElectronic Transactions on Numerical Analysis
Volume15
StatePublished - 2003

Keywords

  • Adaptive grids
  • Additive Schwarz preconditioner
  • Conjugate gradients
  • Multigrid
  • Parallel computing
  • Shallow water equations
  • h-p finite elements

ASJC Scopus subject areas

  • Analysis

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