GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
A boundary integral method for the simulation of two-dimensional particle coarsening
Journal of Scientific Computing
A fast algorithm for particle simulations
Journal of Computational Physics
Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
Journal of Computational Physics
SIAM Journal on Scientific Computing
Thin bridges in isotropic electrostatics
Journal of Computational Physics
Integral equation methods for Stokes flow and isotropic elasticity in the plane
Journal of Computational Physics
Microstructural evolution in inhomogeneous elastic media
Journal of Computational Physics
Boundary integral methods for multicomponent fluids and multiphase materials
Journal of Computational Physics
Large-scale simulations of microstructural evolution in elastically stressed solids
Journal of Computational Physics
Stress calculations on multiply connected domains
Journal of Computational Physics
On the evaluation of layer potentials close to their sources
Journal of Computational Physics
Faster convergence and higher accuracy for the Dirichlet-Neumann map
Journal of Computational Physics
Hi-index | 31.46 |
Mikhlin's method for solving Laplace's equation in domains exterior to a number of closed contours is discussed with particular emphasis on the Dirichlet-Neumann map. In the literature there already exist two computational modes for Mikhlin's method. Here a new mode is presented. The new mode is at least as stable as the previous modes. Furthermore, its computational complexity in the number of closed contours is better. As a result, highly accurate solutions in domains exterior to tens of thousands of closed contours can be obtained on a simple workstation.