Application of Green’s function for solution a boundary value problem of potential theory in semispace. (Ukrainian. English summary) Zbl 1091.65121
Summary: The Dirichlet problem for the Laplace equation on an unbounded surface is considered. Green’s functions and the method of integral equations are used for solution the problem. Convergence conditions of bivariate improper integrals are investigated. Results of numerical experiments are presented.
MSC:
| 65N38 | Boundary element methods for boundary value problems involving PDEs |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
