Geodesic
Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems
L. Demkowicz1 ; J. Kurtz1
1 Institute for Computational Engineering and Sciences The University of Texas at Austin, Austin, TX 78712, USA
ESAIM. Proceedings, Tome 21 (2007), pp. 1-15.

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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.
DOI : 10.1051/proc:072101

L. Demkowicz 1 ; J. Kurtz 1

1 Institute for Computational Engineering and Sciences The University of Texas at Austin, Austin, TX 78712, USA 
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     title = {Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems},
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L. Demkowicz; J. Kurtz. Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems. ESAIM. Proceedings, Tome 21 (2007), pp. 1-15. doi : 10.1051/proc:072101. http://geodesic.mathdoc.fr/articles/10.1051/proc:072101/

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