Least-square finite elements for Stokes problem
Computer Methods in Applied Mechanics and Engineering
Least-squares finite element method for fluid dynamics
Computer Methods in Applied Mechanics and Engineering
Journal of Computational Physics
Finite Element Methods of Least-Squares Type
SIAM Review
Issues Related to Least-Squares Finite Element Methods for the Stokes Equations
SIAM Journal on Scientific Computing
Fast parallel direct solvers for Coarse Grid problems
Journal of Parallel and Distributed Computing
MPI: The Complete Reference
Least-squares spectral elements applied to the Stokes problem
Journal of Computational Physics
A Least-Squares Spectral Element Formulation for the Stokes Problem
Journal of Scientific Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Parallel Implementation of a Least-Squares Spectral Element Solver for Incompressible Flow Problems
The Journal of Supercomputing
A parallel, state-of-the-art, least-squares spectral element solver for incompressible flow problems
VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science
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The parallelisation of the least-squares spectral element formulation of the Stokes problem is discussed for incompressible flow problems on unstructured grids. The method leads to a large symmetric positive definite algebraic system, that is solved iteratively by the conjugate gradient method. To improve the convergence rate, both Jacobi and Additive Schwarz preconditioners are applied. Numerical simulations have been performed to validate the scalability of the different parts of the proposed method. The experiments entailed simulating several large-scale incompressible flows on a Cray T3E and on an SGI Origin 3800.