The DMLPG meshless technique for Poisson problems

Meshless Local Petrov Galerkin (MLPG) techniques are pure mesh-less methods nowadays used to solve a large class of Partial Di erential Equations. Recently, the Direct MLPG (DMLPG) techniques have been proposed. They are based upon the Generalized Least Square Method. DMLPG technique alleviates some difficulties found in MLPG, such as tricky numerical integration. In this article we report our expansion of DMLPG techniques to 3D Poisson problems. We also compare MLPG vs DMLPG performances.Meshless Local Petrov Galerkin (MLPG) techniques are pure mesh-less methods nowadays used to solve a large class of Partial Di erential Equations. Recently, the Direct MLPG (DMLPG) techniques have been proposed. They are based upon the Generalized Least Square Method. DMLPG technique alleviates some difficulties found in MLPG, such as tricky numerical integration. In this article we report our expansion of DMLPG techniques to 3D Poisson problems. We also compare MLPG vs DMLPG performances