MLPG approximation to the p-Laplace problem
作者： Davoud Mirzaei , Mehdi Dehghan
DOI: 10.1007/S00466-010-0521-1
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摘要: Meshless local Petrov-Galerkin (MLPG) method is discussed for solving 2D, nonlinear, elliptic p-Laplace or p-harmonic equation in this article. The problem transferred to corresponding boundary integral (LBIE) using Divergence theorem. analyzed domain divided into small circular sub-domains which the LBIE applied. To approximate unknown physical quantities, nodal points spread over and MLS approximation, are utilized. a meshless method, since it does not require any background interpolation integration cells dose depend on geometry of domain. proposed scheme simple computationally attractive. Applications demonstrated through illustrative examples.
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