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1. Range Decomposition: A Low Communication Algorithm for Solving PDEs on Massively Parallel Machines

   Online Presentations | 07 Feb 2016 | Contributor(s):: Tom Manteuffel

   The Range Decomposition (RD) algorithm uses nested iteration and adaptive mesh refinement locally before performing a global communication step. Only several such steps are observed to be necessary before reaching a solution within a small multiple of discretization error. The target application...

2. A Fast Multigrid Approach for Solving the Helmholtz Equation with a Point Source

   Online Presentations | 04 Feb 2016 | Contributor(s):: Eran Treister

   Solving the discretized Helmholtz equations with high wave numbers in large dimensions is a challenging task. However, in many scenarios, the solution of these equations is required for a point source. In this case, the problem can be be reformulated and split into two parts: one in a solution of...