GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
A fast multilevel algorithm for integral equations
SIAM Journal on Numerical Analysis
An efficient numerical method for studying interfacial motion in two-dimensional creeping flows
Journal of Computational Physics
On stability of approximation methods for the Muskhelishvili equation
Journal of Computational and Applied Mathematics
On the evaluation of layer potentials close to their sources
Journal of Computational Physics
| Hi-index | 0.00 |
The stability of the Nyström method for the Sherman-Lauricella equation on piecewise smooth closed simple contour $\Gamma$ is studied. It is shown that in the space $L_2$ the method is stable if and only if certain operators associated with the corner points of $\Gamma$ are invertible. If $\Gamma$ does not have corner points, the method is always stable. Numerical experiments show the transformation of solutions when the unit circle is continuously transformed into the unit square, and then into various rhombuses. Examples also show an excellent convergence of the method.