COMPARATIVE NUMERICAL ANALYSIS OF METHODS FOR SOLVING BOUNDARY VALUE PROBLEMS WITH DEGENERACY PROPERTY ALONG THE ENTIRE DOMAIN BOUNDARY
We proposed an algorithm and carried out a comparative analysis of the classical finite element method and a method with special condensation of grids for the Dirichlet problem with a degeneracy property solution along the entire boundary of two-dimensional domain. We obtained experimental corroboration of theoretical estimations for accuracy and drew some conclusions.
Keywords: boundary value problems with degeneracy property along the entire boundary, finite element method, condensation of grids