Abstract
ABSTRACTIn this article, we propose a new two-level method for solving 2D and 3D semilinear elliptic boundary value problem base on radial basis function (RBF). In the first step, we use the global RBF method to solve a semilinear problem on the coarse mesh or a small number of collocation points, in the second step, finite difference (FD), finite element (FE), and radial basis function-generated finite difference (RBF-FD) methods are used to solve the linearized problem on the fine mesh or a large number of collocation points, respectively. Numerical examples are provided to verify the feasibility and efficiency of the two-level RBF method. Moreover, compared to the FD and FE methods, RBF-FD method used in the second step further improve the accuracy of numerical solution.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
