Geodesic
Nonhomogeneous boundary conditions and curved triangular finite elements
Applications of Mathematics, Tome 26 (1981) no. 2, pp. 121-141
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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.
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.
DOI : 10.21136/AM.1981.103903
Classification : 35J25, 35J40, 65N30
Keywords: nonhomogeneous boundary conditions; Dirichlet; Neumann; finite element method; curved triangular elements; convergence 
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Ženíšek, Alexander. Nonhomogeneous boundary conditions and curved triangular finite elements. Applications of Mathematics, Tome 26 (1981) no. 2, pp. 121-141. doi: 10.21136/AM.1981.103903

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