Skip to content
Publicly Available Published by De Gruyter April 26, 2014

The Tailored Finite Point Method

  • Houde Han EMAIL logo and Zhongyi Huang

Abstract.

In this paper, a brief review of tailored finite point methods (TFPM) is given. The TFPM is a new approach to construct the numerical solutions of partial differential equations. The TFPM has been tailored based on the local properties of the solution for each given problem. Especially, the TFPM is very efficient for solutions which are not smooth enough, e.g., for solutions possessing boundary/interior layers or solutions being highly oscillated. Recently, the TFPM has been applied to singular perturbation problems, the Helmholtz equation with high wave numbers, the first-order wave equation in high frequency cases, transport equations with interface, second-order elliptic equations with rough or highly oscillatory coefficients, etc.

MSC: 65N35; 65N12

Funding source: NSFC

Award Identifier / Grant number: 11322113, 11371218, 91330203

Funding source: National Basic Research Program of China

Award Identifier / Grant number: 2011CB309705

Received: 2014-2-28
Revised: 2014-3-28
Accepted: 2014-4-4
Published Online: 2014-4-26
Published in Print: 2014-7-1

© 2014 by Walter de Gruyter Berlin/Boston

Downloaded on 19.3.2024 from https://www.degruyter.com/document/doi/10.1515/cmam-2014-0012/html
Scroll to top button