Accession Number : ADA130473

Title :   Asymptotic Behaviors of the Solution of an Elliptic Equation with Penalty Terms.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Kawarada,Hideo ; Hanada,Takao

PDF Url : ADA130473

Report Date : Jun 1983

Pagination or Media Count : 27

Abstract : The authors study the boundary value problem for an elliptic equation with penalty terms. This problem approximates the boundary value problems with three types of homogeneous boundary conditions; the Dirichlet boundary condition, the Neumann boundary condition, and the mixed boundary condition. They discuss asymptotic behaviors of the solutions of the above mentioned problems as the coefficient of the penalty term tends to zero. By using one of these properties, they can approximate the outward normal derivative defined on the boundary of the approximated problem prescribed with the Dirichlet condition, which is efficiently available to obtain the numerical solution of free boundary problems of various types.

Descriptors :   *Boundary value problems, *Equations, Approximation(Mathematics), Asymptotic series, Homogeneity, Discontinuities, Coefficients, Theorems, Penalties

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE