Multiscale RBF collocation for solving PDEs on spheres
نویسندگان
چکیده
منابع مشابه
Multiscale RBF collocation for solving PDEs on spheres
In this paper, we discuss multiscale radial basis function collocation methods for solving certain elliptic partial differential equations on the unit sphere. The approximate solution is constructed in a multi-level fashion, each level using compactly supported radial basis functions of smaller scale on an increasingly fine mesh. Two variants of the collocation method are considered (sometimes ...
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Purpose – To present a new collocation method for numerically solving partial differential equations (PDEs) in rectangular domains. Design/methodology/approach – The proposed method is based on a Cartesian grid and a one-dimensional integrated-radial-basis-function (1D-IRBF) scheme. The employment of integration to construct the RBF approximations representing the field variables facilitates a ...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2011
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-011-0428-6