Adaptive finite elements for a certain class of variational inequalities of second kind

被引：0
作者：
D. Hage
N. Klein
F. T. Suttmeier
机构：
[1] University Siegen,Department Mathematik
来源：
Calcolo | 2011年 / 48卷
关键词：
Bingham fluid; Friction problem; A posteriori error estimate; Variational inequality; Finite element method; Adaptivity; 65N30; 65N15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note, we extend our studies on finite element Galerkin schemes for elliptic variational inequalities of first to the one of second kind. Especially we perform the corresponding a posteriori error analysis for a simple friction problem and a model flow of a Bingham fluid.
引用
收藏
页码：293 / 305
页数：12
相关论文
共 21 条
  • [1] Ainsworth M.(1997)A posteriori error estimation in finite element analysis Comput. Methods Appl. Mech. Eng. 142 1-88
  • [2] Oden J.T.(1987)A feedback finite element method with a posteriori error estimation, part 1 Comput. Methods Appl. Mech. Eng. 61 1-40
  • [3] Babuška I.(1985)Some a posteriori error estimators for elliptic partial differential equations Math. Comput. 44 283-301
  • [4] Miller A.D.(2000)An adaptive finite element discretisation for a simplified Signorini problem Calcolo 37 65-77
  • [5] Bank R.E.(2000)Weighted error estimates for finite element solutions of variational inequalities Computing 65 119-134
  • [6] Weiser A.(1999)Adaptive finite elements for elastic bodies in contact SIAM J. Sci. Comput. 20 1605-1626
  • [7] Blum H.(1983)Error estimate procedure in the finite element method and applications SIAM J. Numer. Anal. 20 485-509
  • [8] Suttmeier F.T.(1999)A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity Comput. Methods Appl. Mech. Eng. 176 333-361
  • [9] Blum H.(2001)General approach for a posteriori error estimates for finite element solutions of variational inequalities Comput. Mech. 27 317-323
  • [10] Suttmeier F.T.(2007)On concepts of PDE-software: the cellwise oriented approach in DEAL Int. Math. Forum 2 1-20
123