Discrete boundary conditions on an artificial boundary are obtained for the elasticity problems with singularities. An iteration method is designed to solve the boundary value problem by using the discrete boundary conditions. Some numerical results are given, which demonstrate the effectiveness of
Discrete boundary conditions for problems with interface
โ Scribed by Xiaonan Wu; Houde Han
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 467 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
โฆ Synopsis
A discrete boundary condition on an artiยฎcial boundary is obtained for some second-order elliptic boundary value problems with interface. The problem is reduced to a problem without singularities, and the standard ยฎnite element method is used to solve this problem. Some numerical examples are given.
๐ SIMILAR VOLUMES
The aim of this article is to solve second-order elliptic problems in an original physical domain using a fictitious domain method with a spread interface approach. The main idea of the fictitious domain approach consists in immersing the original domain of study into a geometrically bigger and simp
In this paper, we present a new J-point finite difference scheme for the class of twopoint boundary value problems with periodic boundary conditions: y" + f(z, y) = 0, 0 < I 5 1, y(0) = y(l), y'(0) = y'(1). Under suitable conditions on $$, and for y E C6[0, 11, it is shown that our finite difference
Two existence results are presented for second-order discrete boundary value problems. The first result is based on the notion of upper and lower solutions and the second result is based on the discrete Gelfand problem. Keywords--Boundary value problems, Existence results, Upper and lower solutions
In this article, we derive and discuss sufficient conditions for providing validity of the discrete maximum principle for nonstationary diffusion-reaction problems with mixed boundary conditions, solved by means of simplicial finite elements and the ฮธ time discretization method. The theoretical anal