首页|Error estimate FEM for the Nikol'skij-Lizorkin problem with degeneracy

Error estimate FEM for the Nikol'skij-Lizorkin problem with degeneracy

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  • NSTL
  • Elsevier
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.

Nikol'skij-Lizorkin problem with degeneracyFinite element methodError estimateWeighted Sobolev spaceFINITE-ELEMENT-METHODR (NU)-GENERALIZED SOLUTIONBOUNDARY-VALUE PROBLEMSINGULAR ES-FEMMAXWELL EQUATIONSCRACK-GROWTHWEIGHTED REGULARIZATIONFRACTURE-MECHANICSEFFICIENT ANALYSISNUMERICAL-METHOD

Rukavishnikov, Viktor A.、Rukavishnikova, Elena, I

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Russian Acad Sci

2022

10.1016/j.cam.2021.113841

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN：0377-0427
年,卷(期)：2022.403
  • 3
  • 43