期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 352, 期 -, 页码 137-171出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.04.019
关键词
Fractional Laplacian; Variational inequality; Space-time adaptivity; A posteriori error estimates; A priori error estimates; Dynamic contact
资金
- ERC Advanced Grant [HARG 268105]
- Maxwell Institute Graduate School in Analysis and its Applications, a Centre for Doctoral Training - UK Engineering and Physical Sciences Research Council [EP/L016508/01]
- Scottish Funding Council
- Heriot-Watt University
- University of Edinburgh
This article considers the error analysis of finite element discretizations and adaptive mesh refinement procedures for nonlocal dynamic contact and friction, both in the domain and on the boundary. For a large class of parabolic variational inequalities associated to the fractional Laplacian we obtain a priori and a posteriori error estimates and study the resulting space-time adaptive mesh-refinement procedures. Particular emphasis is placed on mixed formulations, which include the contact forces as a Lagrange multiplier. Corresponding results are presented for elliptic problems. Our numerical experiments for 2-dimensional model problems confirm the theoretical results: They indicate the efficiency of the a posteriori error estimates and illustrate the convergence properties of space-time adaptive, as well as uniform and graded discretizations. (C) 2019 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据