Abstract
Iterative numerical schemes for solving the electrostatic partial differential equation with variable conductivity, using fast and high-order accurate direct methods for preconditioning, are compared. Two integral method schemes of this type, based on previously suggested splittings of the equation, are proposed, analyzed, and implemented. The schemes are tested for large problems on a square. Particular emphasis is paid to convergence as a function of geometric complexity in the conductivity. Differences in performance of the schemes are predicted and observed in a striking manner.
| Original language | English |
|---|---|
| Pages (from-to) | 675-697 |
| Journal | BIT Numerical Mathematics |
| Volume | 44 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2004 |
Bibliographical note
The information about affiliations in this record was updated in December 2015.The record was previously connected to the following departments: Numerical Analysis (011015004)
Subject classification (UKÄ)
- Mathematics
Free keywords
- fast multipole method
- equation
- Fredholm integral
- nonseparable elliptic PDE
- variable coefficients