Aug 30, 2012 · This paper presents parallelization strategies for the radial basis function-finite difference (RBF-FD) method.

We verify our implementation of the RBF-FD method with two hyperbolic PDEs on the sphere, and demonstrate up to 9x speedup on a commodity GPU with unoptimized ...

This paper presents parallelization strategies for the radial basis function-finite difference (RBF-FD) method. As a generalized finite differencing scheme, ...

Introduction. Radial Basis Functions (RBFs) provide a powerful and elegant solution to calculate weights for generalized Finite Differences on arbitrary ...

Bibliographic details on Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs.

Similar to classical Finite Differences (FD), RBF-FD computes weighted differences of stencil node values to approximate derivatives at stencil centers. The ...

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(2012), 'Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs', J. Comput. Phys. 231, 7133–7151.CrossRefGoogle Scholar.

Jul 8, 2021 · The radial basis function-generated finite differences. (RBF-FD) was first mentioned in [12] as a local strong form meshless method for ...

Jul 4, 2020 · The RBF-FD approach makes it easy to test how different node distributions influence the extent to which the physics was captured. The numerical ...