Domain Type Kernel-Based Meshless Methods for Solving Wave Equations
Mathematics and Natural Sciences
Coupled with the Houbolt method, a third order finite difference time marching scheme, the method of approximate particular solutions (MAPS) has been applied to solve wave equations. Radial basis function has played an important role in the solution process of the MAPS. To show the effectiveness of the MAPS, we compare the results with the well known Kansa's method, time-marching method of fundamental solutions (TMMFS), and traditional finite element methods. To validate the effectiveness and easiness of the MAPS, four numerical examples which including regular, smooth irregular, and non-smooth domains are given.
CMC: Computers, Materials, & Continua
(2013). Domain Type Kernel-Based Meshless Methods for Solving Wave Equations. CMC: Computers, Materials, & Continua, 33(3), 213-228.
Available at: https://aquila.usm.edu/fac_pubs/7924