Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 3
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- Pages.461-470
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
Capacitance matrix method for petrov-galerkin procedure
- Chung, Sei-Young (Department of Mathematics Chungnam National University )
- Published : 1995.08.01
Abstract
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 $\Omega$.