Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems
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.
@article{EP_2007_21_a1,
author = {L. Demkowicz and J. Kurtz},
title = {Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems},
journal = {ESAIM. Proceedings},
pages = {1--15},
year = {2007},
volume = {21},
doi = {10.1051/proc:072101},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072101/}
}
TY - JOUR AU - L. Demkowicz AU - J. Kurtz TI - Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems JO - ESAIM. Proceedings PY - 2007 SP - 1 EP - 15 VL - 21 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:072101/ DO - 10.1051/proc:072101 LA - en ID - EP_2007_21_a1 ER -
%0 Journal Article %A L. Demkowicz %A J. Kurtz %T Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and maxwell problems %J ESAIM. Proceedings %D 2007 %P 1-15 %V 21 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:072101/ %R 10.1051/proc:072101 %G en %F EP_2007_21_a1
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
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