905 微分を用いないメッシュフリー法による2階偏微分方程式の解法(OS-9B,OS-9 メッシュフリー/粒子法)

概要

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This study presents a novel mesh-free method for the 2^<nd> order partial differential equations. The method is based on the global Galerkin method of which test function is constant within a nodal cell but discontinuous over the whole domain. This formulation results in a set of equilibrium equations of traction force vectors along the boundaries of each nodal cell, which exactly follows an idea of the finite volume method. In order to evaluate the traction force vectors along the boundaries, several ideas are introduced. Among those, the mixed interpolation method using a smoothed or average strain field gives us a completely derivative free formulation, which significantly reduces computational time. An illustrated example shows satisfactory results compared with those by EFG and FEM.
一般社団法人日本機械学会の論文
2005-11-17