Volume 21, 2007Journées d'analyse fonctionnelle et numérique en l'honneur de Michel Crouzeix
|Page(s)||1 - 15|
|Published online||04 December 2007|
Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems
Institute for Computational Engineering and Sciences The University of Texas at Austin, Austin, TX 78712, USA
Following a summary of results on the Projection-Based Interpolation for H1-, : H(curl)-, and H(div)-conforming finite elements, we review the main steps of the hp-algorithm that produces automatically a sequence of hp-refined meshes, and delivers exponential convergence for both regular and singular solutions. The algorithm is illustrated with numerical examples from acoustic and electromagnetic scattering.
© EDP Sciences, ESAIM, 2007
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