Multi-Grid Solution of Bifurcation Problems
Hans Detlef Mittelmann, Hans Weber · SIAM Journal on Scientific and Statistical Computing · 1985
A continuation strategy is developed for a method of inverse iteration type to compute solutions of nonlinear eigenvalue problems. The solution curves are parametrized by a norm of the solution. Thus continuation near turning points does not represent any difficulties. A multi-grid version of the algorithm is presented and successfully applied to solve problems on general two-dimensional domains. Numerical results including a comparison with a more standard approach are also given for the continuation strategy proposed for the basic algorithm.