Meshless Local Petrov-Galerkin Method and standard unstructured Finite Elements for the solution of 2-D elastic problems

Computing the stress tensor and the displacement field is an important task in linear structural mechanics. A widespread solution approach is represented by the standard Finite Element (FE) technique. Recently, meshless methods such as the Meshless Local Petrov-Galerkin (MLPG) have received some attention due to their flexibility in solving several engineering problems, especially with reference to discontinuities or moving boundaries. The present communication addresses the computational behavior and numerical accuracy of MLPG using several elliptic test cases, with the aim at solving elastic structural problems. Next a sample problem is solved on unstructured grids and the results from MLPG and FE compared.