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Nonhomogeneous boundary conditions and curved triangular finite elements

By Alexander Ženíšek

Abstract

summary:Approximation of nonhomogeneous boundary conditions of Dirichlet and Neumann types is suggested in solving boundary value problems of elliptic equations by the finite element method. Curved triangular elements are considered. In the first part of the paper the convergence of the finite element method is analyzed in the case of nonhomogeneous Dirichlet problem for elliptic equations of order $2m+2$, in the second part of the paper in the case of nonhomogeneous mixed boundary value problem for second order elliptic equations. In both parts of the paper of numerical integration is studied

Topics: keyword:nonhomogeneous boundary conditions, keyword:Dirichlet, keyword:Neumann, keyword:finite element method, keyword:curved triangular elements, keyword:convergence, msc:35J25, msc:35J40, msc:65N30
Publisher: Matematický ústav AV ČR
Year: 1981
DOI identifier: 10.1137/0711031
OAI identifier: oai:oai.dml.cz:10338.dmlcz/103903
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