Error estimates and adaptive finite elements for nonlinear diffusion-convection problems
A priori and a posteriori error estimates are presented for nonlinear diffusion-convection problems when using the classical Streamline Upwind Petrov-Galerkin (SUPG) scheme and numerical integration. For this purpose, an abstract framework is developed. A priori estimates are derived in the H-1 and L(2) norms and the error is bounded above and below by an estimator based on the equation residual. An adaptive algorithm requiring the generation of successive Delaunay triangulations is proposed and numerical results confirm the efficiency of our approach.
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Ecole polytech fed lausanne,dept math,ch-1015 lausanne,switzerland. escuela politec nacl,dept matemat,quito,ecuador.
ISI Document Delivery No.: VA979
Times Cited: 11
Cited Reference Count: 36
Record created on 2006-08-24, modified on 2016-08-08