A multilevel discontinuous Galerkin method

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A multilevel discontinuous Galerkin method

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Gopalakrishnan, Jayadeep

Kanschat, Guido

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2000-12

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Abstract

A variable V-cycle preconditioner for an interior penalty finite element discretization for elliptic problems is presented. An analysis under a mild regularity assumption shows that the preconditioner is uniform. The interior penalty method is then combined with a discontinuous Galerkin scheme to arrive at a discretization scheme for an advection-diffusion problem, for which an error estimate is proved. A multigrid algorithm for this method is presented, and numerical experiments indicating its robustness with respect to diffusion coefficient are reported.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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IMA Preprints Series;1735

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Gopalakrishnan, Jayadeep; Kanschat, Guido. (2000). A multilevel discontinuous Galerkin method. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3501.

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