Nonhomogeneous boundary conditions and curved triangular finite elements

作者：Alexander Ženíšek · 发表于：Applications of Mathematics · 年份：1981 · DOI：10.21136/am.1981.103903 · 被引用次数：22 · 研究领域：Geotechnical and Geomechanical Engineering、Differential Equations and Boundary Problems、Differential Equations and Numerical Methods

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.