An analytical method for linear elliptic PDEs and its numerical implementation
نویسندگان
چکیده
منابع مشابه
An analytical method for linear elliptic PDEs and its numerical implementation
A new numerical method for solving linear elliptic boundary value problems with constant coe4cients in a polygonal domain is introduced. This method produces a generalized Dirichlet–Neumann map: given the derivative of the solution along a direction of an arbitrary angle to the boundary, the derivative of the solution perpendicular to this direction is computed without solving on the interior o...
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A new approach for analyzing boundary value problems for linear and for integrable nonlinear PDEs was introduced in [1]. For linear elliptic PDEs, an important aspect of this approach is the characterization of a generalized Dirichlet to Neumann map: given the derivative of the solution along a direction of an arbitrary angle to the boundary, the derivative of the solution perpendicularly to th...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2004
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(03)00933-6