Space-Time Discontinuous Galerkin Method for Parabolic Problems in Time-Dependent Domains

J. J. Sudirham,J. J. W. van der Vegt,R. M. J. van Damme

msra（2004）

引用 25|浏览2

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摘要

In this report a space-time discontinuous Galerkin (DG) finite element method for the solution of the advection-diffusion-reaction equation in time-dependent domains is presented and analyzed. The variational formulation is based on a combination of the space-time DG method developed by van der Vegt and van der Ven for hyperbolic par- tial differential equations and the DG algorithm for elliptic equations by Arnold, Brezzi, Cockburn and Marini.

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关键词

time-dependent domain.,parabolic problems,discontinuous galerkin,discontinuous galerkin method,hyperbolic partial differential equation,finite element method,elliptic equation,space time

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