A hybrid RBF-FD and WLS mesh-free strong-form approximation method
| Autor: | Mitja Jancic, Gregor Kosec |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
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| Popis: | Since the advent of mesh-free methods as a tool for the numerical analysis of systems of Partial Differential Equations (PDEs), many variants of differential operator approximation have been proposed. In this work, we propose a local mesh-free strong-form method that combines the stability of Radial Basis Function-Generated Finite Differences (RBF-FD) with the computational effectiveness of Diffuse Approximation Method (DAM), forming a so-called hybrid method. To demonstrate the advantages of a hybrid method, we evaluate its computational complexity and accuracy of the obtained numerical solution by solving a two-dimensional Poisson problem with an exponentially strong source in the computational domain. Finally, we employ the hybrid method to solve a three-dimensional Boussinesq's problem on an isotropic half-space and show that the implementation overhead can be justified. Splitech 2022, Confernce paper |
| Databáze: | OpenAIRE |
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