Numerical Method for Dirichlet Problem with Degeneration of the Solution on the Entire Boundary

被引：5

作者：

Rukavishnikov, Viktor A. ^{[1
]}

Rukavishnikova, Elena I. ^{[1
]}

机构：

[1] Russian Acad Sci, Comp Ctr, Far Eastern Branch, Kim Yu Chen Str 65, Khabarovsk 680000, Russia

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 12期

关键词：

boundary value problems with degeneration of the solution on entire boundary of the domain; the method of finite elements; special graded mesh; FINITE-ELEMENT-METHOD; V-GENERALIZED SOLUTION; NONCOORDINATED DEGENERATION; COORDINATED DEGENERATION; EQUATIONS; UNIQUENESS;

D O I：

10.3390/sym11121455

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：11

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