Parallel ELLPACK Elliptic PDE Solvers

Parallel ELLPACK [35, 61] is a machine independent problem solving environment (PSE) that supports PDE (partial differential equations) computing across many hardware platforms. In this paper we review parallel methodologies based on the "divide and conquer" computational paradigm and their infrastructure for solving general elliptic PDEs. Particularly, we describe those that have been implemented and tested in the parallel ELLPACK PSE. Moreover, we describe two parallel frameworks that allow the reuse of the discretization part of the sequential elliptic PDE solvers. Numerical results indicate the effectiveness of the reuse frameworks implemented.