Error estimate FEM for the Nikol'skij-Lizorkin problem with degeneracy
Rukavishnikov, Viktor A. 1Rukavishnikova, Elena, I1
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作者信息
1. Russian Acad Sci
折叠
Abstract
This paper discusses the finite element approximation of the Nikol'skij-Lizorkin problem with degeneracy on the entire boundary of the domain. The triangulation of the domain with a special compression of nodes to the boundary of the domain was carried out. It was established that the approximation to the exact solution has first-order convergence in the norm of the Sobolev weighted space W-2,alpha(1)(Omega) at special exponent of the degree of mesh compression. Numerical experiments confirmed the established estimate of the convergence rate. (c) 2021 Elsevier B.V. All rights reserved.
Key words
Nikol'skij-Lizorkin problem with degeneracy/Finite element method/Error estimate/Weighted Sobolev space/FINITE-ELEMENT-METHOD/R (NU)-GENERALIZED SOLUTION/BOUNDARY-VALUE PROBLEM/SINGULAR ES-FEM/MAXWELL EQUATIONS/CRACK-GROWTH/WEIGHTED REGULARIZATION/FRACTURE-MECHANICS/EFFICIENT ANALYSIS/NUMERICAL-METHOD
NSTL
Elsevier