The hp-adaptive FEM based on continuous Sobolev embeddings: Isotropic refinements

被引：6

作者：

Fankhauser, Thomas ^{[1
]}

Wihler, Thomas P. ^{[1
]}

Wirz, Marcel ^{[1
]}

机构：

[1] Univ Bern, Math Inst, CH-3012 Bern, Switzerland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 67卷 / 04期

关键词：

hp-FEM; hp-adaptivity; Sobolev embeddings; FINITE-ELEMENT METHOD; 2ND-ORDER ELLIPTIC PROBLEMS; BOUNDARY-VALUE-PROBLEMS; P-VERSION; NONSMOOTH DOMAINS; STRATEGY; REGULARITY; DESIGN; DGFEM;

D O I：

10.1016/j.camwa.2013.05.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present a new class of smoothness testing strategies in the context of hp-adaptive refinements based on continuous Sobolev embeddings. In addition to deriving a modified form of the Id smoothness indicators introduced in [26], they will be extended and applied to a higher dimensional framework. A few numerical experiments in the context of the hp-adaptive FEM for a linear elliptic PDE will be performed. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：854 / 868

页数：15

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