A spectral method for elliptic equations: the Neumann problem
نویسندگان
چکیده
منابع مشابه
A spectral method for elliptic equations: the Neumann problem
Let Ω be an open, simply connected, and bounded region in R, d ≥ 2, and assume its boundary ∂Ω is smooth. Consider solving an elliptic partial differential equation −∆u + γu = f over Ω with a Neumann boundary condition. The problem is converted to an equivalent elliptic problem over the unit ball B, and then a spectral Galerkin method is used to create a convergent sequence of multivariate poly...
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Let Ω be an open, simply connected, and bounded region in R, d ≥ 2, and assume its boundary ∂Ω is smooth. Consider solving an elliptic partial differential equation Lu = f over Ω with zero Dirichlet boundary values. The problem is converted to an equivalent elliptic problem over the unit ball B, and then a spectral method is given that uses a special polynomial basis. With sufficiently smooth p...
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boundary integral equations (bie) are reformulations of boundary value problems for partial differential equations. there is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. in this paper, the neumann problem is reformulated to a bie, and then moving least squares as a meshless method is describe...
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2010
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-010-9154-3