The Meshless Reproducing Kernel Particle Method for Two-Dimensional Linear Hyperbolic Equations
The meshless reproducing kernel particle method (RKPM) is used to find the numerical solution of a kind of hyperbolic equations. A variational method is used to obtain the discrete equations and the essential boundary conditions are enforced by the penalty method. The effectiveness RKPM for two-dimensional hyperbolic problems is investigated by numerical example in this paper.
H. N. Sun and R. J. Cheng, "The Meshless Reproducing Kernel Particle Method for Two-Dimensional Linear Hyperbolic Equations", Advanced Materials Research, Vol. 365, pp. 73-76, 2012