Abstract

The Global Element Method is a (spectral) numerical technique for solving elliptic and parabolic differential equations in two space dimensions. The solution, defined as a set of polynomial coefficients, is obtained from a linear system of equations in which the coefficient matrix is block sparse. We describe a parallel L U decomposition of the matrix targeted at a shared memory multiprocessor.

CS-TR N^o 385 Parallel Block LU Factorisation in the Global Element Method Part 1: Share Memory Implementation
Phillips, C.
School of Computing Science, Newcastle University, 1992

[Abstract]