Meshless Local Petrov Galerkin (MLPG) techniques are pure mesh- less methods nowadays used to solve a large class of Partial Dierential Equations. Recently, the Direct MLPG (DMLPG) techniques have been proposed. They are based upon the Generalized Least Square Method. DMLPG technique alleviates some diculties 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.
The DMLPG Meshless Technique for Poisson Problems
SARTORETTO, FLAVIO;MAZZIA, ANNAMARIA;PINI, GIORGIO
2014
Abstract
Meshless Local Petrov Galerkin (MLPG) techniques are pure mesh- less methods nowadays used to solve a large class of Partial Dierential Equations. Recently, the Direct MLPG (DMLPG) techniques have been proposed. They are based upon the Generalized Least Square Method. DMLPG technique alleviates some diculties 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.
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