【摘 要】
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We propose a numerical far field boundary condition for anisotropic Laplace operator on arbitrary star-shaped domains.With a proper change of variable in th
【机 构】
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Department of Mathematics,National Tsing Hua Univ.
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We propose a numerical far field boundary condition for anisotropic Laplace operator on arbitrary star-shaped domains.With a proper change of variable in the radial direction,the far field equation reduces to a quadratic eigenvalue problem on the boundary of the domain.Since the dimension of the eigenvalue problem is significantly lower than the original problem,the first few eigenfunctions provides an accurate and efficient approximation of the exterior solution.Numerical examples are provided to validate the proposed approach.
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