
Open access
Date
2000-04Type
- Report
ETH Bibliography
yes
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Abstract
The algorithmic pattern of the hp Discontinuous Galerkin Finite Element Method (DGFEM) for the time semidiscretization of abstract parabolic evolution equations is presented. In combination with a continuous $hp$ discretization in space we present a fully discrete hp-scheme for the numerical solution of parabolic problems. Numerical examples for the heat equation in a two dimensional domain confirm the exponential convergence rates which are predicted by theoretical results, under realistic assumptions on the initial condition and the data. Different methods to reduce the computational cost of the DGFEM are compared. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004289435Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
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ETH Bibliography
yes
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