Total Flux Estimates for a Finite-Element Approximation of Parabolic Equations |
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Authors: | BARRETT JOHN W; ELLIOTT CHARLES M |
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Institution: |
Department of Mathematics, Imperial College London SW7 2BZ
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Abstract: | An initial-boundary-value problem for a parabolic equation ina domain x (0, T) with prescribed Dirichlet data on ![{delta}](http://imajna.oxfordjournals.org/math/delta.gif) is approximatedusing a continuous-time Galerkin finite-element scheme. It isshown that the total flux across 1=![{delta}](http://imajna.oxfordjournals.org/math/delta.gif) can be approximated withan error of O(hk) when is a curved domain in Rn (n = 2 or 3)and isoparametric elements having approximation power hk inthe L2 norm are used. |
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