Name
Title | ||
|---|---|---|
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. |
Abstract | ||
|---|---|---|
In this paper, we present some results on a posteriori error analysis of finite element methods for solving linear nonlocal diffusion and bond-based peridynamic models. In particular, we aim to propose a general abstract frame work for a posteriori error analysis of the peridynamic problems. A posteriori error estimators are consequently prompted, the reliability and efficiency of the estimators are proved. Connections between nonlocal a posteriori error estimation and classical local estimation are studied within continuous finite element space. Numerical experiments (1D) are also given to test the theoretical conclusions. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1090/S0025-5718-2013-02708-1 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Peridynamic models,nonlocal diffusion,a posteriori error estimate,finite element | Mathematical optimization,Mathematical analysis,A priori and a posteriori,Finite element method,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
82 | 284 | 0025-5718 |
Citations | PageRank | References |
1 | 0.41 | 11 |
Authors | ||
4 | ||