We apply the concept of an M-decomposition in the framework of steady-state diffusion problems to construct local spaces defining superconvergent hybridizable discontinuous Galerkin methods as well as their companion sandwiching mixed methods in ℝ3 with tetrahedral, pyramidal, prismatic, and hexahedral elements.
Accepté le :
DOI : 10.1051/m2an/2016023
Mots clés : Hybridizable discontinuous Galerkin methods, superconvergence, polyhedral meshes
@article{M2AN_2017__51_1_365_0, author = {Cockburn, Bernardo and Fu, Guosheng}, title = {Superconvergence by {M-decompositions.} {Part} {III:} {Construction} of three-dimensional finite elements}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis }, pages = {365--398}, publisher = {EDP-Sciences}, volume = {51}, number = {1}, year = {2017}, doi = {10.1051/m2an/2016023}, mrnumber = {3601012}, zbl = {1412.65137}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an/2016023/} }
TY - JOUR AU - Cockburn, Bernardo AU - Fu, Guosheng TI - Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2017 SP - 365 EP - 398 VL - 51 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2016023/ DO - 10.1051/m2an/2016023 LA - en ID - M2AN_2017__51_1_365_0 ER -
%0 Journal Article %A Cockburn, Bernardo %A Fu, Guosheng %T Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2017 %P 365-398 %V 51 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2016023/ %R 10.1051/m2an/2016023 %G en %F M2AN_2017__51_1_365_0
Cockburn, Bernardo; Fu, Guosheng. Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 1, pp. 365-398. doi : 10.1051/m2an/2016023. http://www.numdam.org/articles/10.1051/m2an/2016023/
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