The gendarme algorithm for adaptive mesh refinement

• Autores: Roland Becker
• Localización: Ninth international conference Zaragoza-Pau on applied mathematics and statistics: Jaca (Spain). September 19-21, 2005 / coord. por Monique Madaune-Tort, 2006, ISBN 84-7733-871-X, págs. 343-348
• Idioma: inglés
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• Resumen

  • We present an adaptive two-level finite element method. The main idea of the algorithm is to guide the local mesh refinement of the coarser mesh by a finer mesh called gendarme mesh. Two different estimators are involved in the algorithm: a standard a posteriori error estimator of residual type is used to control the error in the gendarme mesh; a simpler estimator based on the difference of the solutions corresponding to the two meshes is employed to guide the local mesh refinement