A Review on the Modified Finite Point Method

Author:

Wu Nan-Jing1ORCID,Chen Boe Shiun2ORCID,Tsay Ting-Kuei2ORCID

Affiliation:

1. Tainan Hydraulics Laboratory, National Cheng Kung University, Tainan City 70955, Taiwan

2. Department of Civil Engineering, National Taiwan University, Taipei City 10617, Taiwan

Abstract

The objective of this paper is to make a review on recent advancements of the modified finite point method, named MFPM hereafter. This MFPM method is developed for solving general partial differential equations. Benchmark examples of employing this method to solve Laplace, Poisson, convection-diffusion, Helmholtz, mild-slope, and extended mild-slope equations are verified and then illustrated in fluid flow problems. Application of MFPM to numerical generation of orthogonal grids, which is governed by Laplace equation, is also demonstrated.

Funder

National Science Council

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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3. The meshless finite point method for transient elastodynamic problems;Acta Mechanica;2017-06-28

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