Abstract
An immersed finite element space is used to solve the elliptic interface problems by a finite volume element method. Special nodal basis functions are introduced in a triangle whose interior intersects with the interface so that the jump conditions across the interface are satisfied. Optimal error estimates in an energy norm are obtained. Numerical results are supplied to justify the theoretical work and to reveal some interesting features of the method.
| Original language | English |
|---|---|
| Pages (from-to) | 63-76 |
| Number of pages | 14 |
| Journal | Mathematics and Computers in Simulation |
| Volume | 50 |
| Issue number | 1-4 |
| Publication status | Published - 1 Nov 1999 |
Keywords
- Convergence
- Error estimate
- Finite volume
- Interface problems
ASJC Scopus subject areas
- Information Systems and Management
- Control and Systems Engineering
- Applied Mathematics
- Computational Mathematics
- Modelling and Simulation