대한수학회지 (Journal of the Korean Mathematical Society)
- 제32권3호
- /
- Pages.461-470
- /
- 1995
- /
- 0304-9914(pISSN)
- /
- 2234-3008(eISSN)
Capacitance matrix method for petrov-galerkin procedure
초록
In this paper a capacitance matrix method is developed for the Poisson equation on a rectangle $$ (1-1) Lu \equiv -(u_{xx} + u_{yy} = f, (x, y) \in \Omega \equiv (0, 1) \times (0, 1) $$ with the homogeneous Dirichlet boundary condition $$ (1-2) u = 0, (x, y) \in \partial\Omega $$ where $\partial\Omega$ is the boundary of the region $\Omega$.