An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries

Journal of Computational Physics（2021）

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摘要

•We present an RBF-FD method that enables a decoupling of the interpolation points from the shape of the domain.•Handling of complex geometries in 2D and 3D is simplified.•The stencils close to the boundary of Ω are less skewed.•Better accuracy compared with the classic RBF-FD methods.

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关键词

Complex geometry,Radial basis function,Least-squares,Partial differential equation,Immersed method,Ghost points

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