Least-squares spectral element methods are based on two important and successful numerical methods: spectral/{\em hp} element methods and least-squares finite element methods. Least-squares methods lead to symmetric and positive definite algebraic systems which circumvent the Ladyzhenskaya-Babu\v{s}ka-Brezzi stability condition and consequently allow the use of equal order interpolation polynomials for all variables. In this paper, we present results obtained with a parallel implementation of the least-squares spectral element solver on a distributed memory machine (Cray T3E) and on a virtual shared memory machine (SGI Origin 3800).

Additional Metadata
THEME Life Sciences (theme 5), Energy (theme 4)
Publisher Springer
Editor P.M.A. Sloot , C.J. Kenneth Tan , J.J. Dongarra , A.G. Hoekstra
Series Lecture Notes in Computer Science
Project Parallel implementation of a sparse grid method for time-dependent advection-diffusion reaction problems
Conference International Conference on Computational Science
Nool, M, & Proot, M.M.J. (2002). Parallel Implementation of a Least-Squares Spectral Element Solver for Incomressible Flow Problems. In P.M.A Sloot, C.J Kenneth Tan, J.J Dongarra, & A.G Hoekstra (Eds.), The 2002 International Conference on Computational Science (pp. 900–909). Springer.