Topic
Fast solvers for elliptic PDEs such as the Laplace and Helmholz equations have come to form key building blocks in scientific computing. Elliptic PDE’s are encountered in the governing equations in many branches of physics, but they also arise in implicit time integration schemes of dynamical systems. While fast methods for such problems have traditionally been based on iterative solvers (e.g. GMRES, multigrid) recent developments have enabled the construction of linear complexity direct solvers which in a single step construct an approximation to the solution operator of the problem. This workshop addresses direct methods that are robust, stable, fast and under certain conditions outperform state-of-the-art iterative methods... more info soon