Title
Numerical Method for Dirichlet Problem with Degeneration of the Solution on the Entire Boundary
Abstract
The finite element method (FEM) with a special graded mesh is constructed for the Dirichlet boundary value problem with degeneration of the solution on the entire boundary of the two-dimensional domain. A comparative numerical analysis is performed for the proposed method and the classical finite element method for a set of model problems in symmetric domain. Experimental confirmation of theoretical estimates of accuracy is obtained and conclusions are made.
Year
DOI
Venue
2019
10.3390/sym11121455
SYMMETRY-BASEL
Keywords
Field
DocType
boundary value problems with degeneration of the solution on entire boundary of the domain,the method of finite elements,special graded mesh
Boundary value problem,Dirichlet problem,Mathematical analysis,Finite element method,Dirichlet distribution,Numerical analysis,Mathematics
Journal
Volume
Issue
Citations 
11
12
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Viktor A. Rukavishnikov100.34
Elena I. Rukavishnikova200.34