Meshless Method for the Numerical Solution of a Kind of Linear Hyperbolic Equations
The present paper deals with the numerical solution of two-dimensional linear hyperbolic equation using the meshless reproducing kernel particle method (RKPM). A variational method is used to obtain the discrete equations and the essential boundary conditions that are enforced by the penalty method. The effectiveness RKPM for two-dimensional hyperbolic problems is investigated by two numerical examples in this paper.
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
H. N. Sun et al., "Meshless Method for the Numerical Solution of a Kind of Linear Hyperbolic Equations", Applied Mechanics and Materials, Vols. 101-102, pp. 586-590, 2012