The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs
نویسندگان
چکیده
In this paper, a new localized radial basis function (RBF) method based on partition of unity (PU) is proposed for solving boundary and initial-boundary value problems. The benefits from direct discretization approach called the “direct RBF (D-RBF-PU)” method. Thanks to avoiding all derivatives PU weight functions as well lower local approximants, faster simpler than standard RBF-PU Besides, discontinuous can now be utilized develop in more efficient less expensive way. Alternatively, an RBF-generated finite difference (RBF-FD) setting which much some situations accurate original RBF-FD. polyharmonic splines are used approximations, error stability issues considered. Some numerical experiments irregular two- three-dimensional domains, cost comparison tests, performed support theoretical analysis show efficiency
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2021
ISSN: ['1095-7197', '1064-8275']
DOI: https://doi.org/10.1137/19m128911x