Treatment of Material Discontinuity in the Meshless Local Petrov-Galerkin Method

DOI

10.2991/ammsa-17.2017.33How to use a DOI?

Keywords

mershless local petrov-galerkin(MLPG)method; material discontinuities; moving least squares interpolation; interface condition

Abstract

Meshless local Petrov-Galerkin (MLPG) method is presented to treat parabolic partial differential equations with discontinuous material coefficients. In this paper, we use MLPG method to solve fractional constant coefficient discontinuous media mixed boundary problem. The trial and test functions for the weak form are constructed with moving least-square interpolants in each material domain. In the proposed method, the essential boundary conditions and the jump conditions are directly imposed by substituting the corresponding terms in the system of equations. Discontinuous medium boundary condition is also applied to the solution equation. Some numerical tests are given to demonstrate the effectiveness and applicability for these problems.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xufei Yuan
AU  - Gendai Gu
AU  - Meiling Zhao
PY  - 2017/05
DA  - 2017/05
TI  - Treatment of Material Discontinuity in the Meshless Local Petrov-Galerkin Method
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 157
EP  - 161
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.33
DO  - 10.2991/ammsa-17.2017.33
ID  - Yuan2017/05
ER  -