The improved element-free Galerkin method for three-dimensional wave equation

摘要: The paper presents the improved element-free Galerkin (IEFG) method for three-dimensional wave propagation. moving least-squares (IMLS) approximation is employed to construct shape function, which uses an orthogonal function system with a weight as basis function. Compared conventional (MLS) approximation, algebraic equation in IMLS not ill-conditioned, and can be solved directly without deriving inverse matrix. Because there are fewer coefficients than MLS nodes selected IEFG method. Thus, has higher computing speed. In method, weak form obtain discretized equation, penalty applied impose essential boundary condition. traditional difference two-point value problems time discretization. As equations boundary-initial conditions depend on time, scaling parameter, number of step length considered convergence study.