TY - EJOU
AU - Fan, Zhuowan
AU - Liu, Yancheng
AU - Hong, Anyu
AU - Xu, Fugang
AU - Wang, Fuzhang
TI - The Localized Method of Fundamental Solution for Two Dimensional Signorini Problems
T2 - Computer Modeling in Engineering \& Sciences
PY - 2022
VL - 132
IS - 1
SN - 1526-1506
AB - In this work, the localized method of fundamental solution (LMFS) is extended to Signorini problem. Unlike the traditional fundamental solution (MFS), the LMFS approximates the field quantity at each node by using the field quantities at the adjacent nodes. The idea of the LMFS is similar to the localized domain type method. The fictitious boundary nodes are proposed to impose the boundary condition and governing equations at each node to formulate a sparse matrix. The inequality boundary condition of Signorini problem is solved indirectly by introducing nonlinear complementarity problem function (NCP-function). Numerical examples are carried out to validate the reliability and effectiveness of the LMFS in solving Signorini problems.
KW - Signorini problem; localized method of fundamental solution; collocation method; nonlinear boundary conditions
DO - 10.32604/cmes.2022.019715