Back to Search
Start Over
On the Convergence of Finite Element Method for Second Order Elliptic Interface Problems.
- Source :
- Numerical Functional Analysis & Optimization; Jan2006, Vol. 27 Issue 1, p99-115, 17p, 2 Diagrams
- Publication Year :
- 2006
-
Abstract
- The purpose of this paper is to study the convergence of finite element approximation to the exact solution of general self-adjoint elliptic equations with discontinuous coefficients. Due to low global regularity of the solution, it is difficult to achieve optimal order of convergence with classical finite element methods [ Numer. Math. 1998; 79:175–202]. In this paper, an isoparametric type of discretization is used to prove optimal order error estimates in L 2 and H 1 norms when the global regularity of the solution is low. The interface is assumed to be of arbitrary shape and is smooth for our purpose. Further, for the purpose of numerical computations, we discuss the effect of numerical quadrature on finite element solution, and the related optimal order estimates are also established. [ABSTRACT FROM AUTHOR]
- Subjects :
- STOCHASTIC convergence
FINITE element method
EQUATIONS
ALGEBRA
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 27
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 20063477
- Full Text :
- https://doi.org/10.1080/01630560500538821