Some Reports on Data Parallel Domain Decomposition Algorithms
for Convection Dominated Linear and Nonlinear Problems
UNDER CONSTRUCTION!!!
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Some of these algorithms have been tested at PSC,the Pittsburgh
Supercomputing Center.
PFEM: The Parallel Finite
Element Method
- W Layton and P Rabier,
Domain decomposition via operator splitting for nonsymmetric problems,
Appl math l.,5(1992)67-70.
- W Layton,
Domain decomposition for multi-dimensional, first order systems of
partial differential equations,
Applicable Analysis,47(1992)139-150.
- W Layton, J Maubach, P Rabier and A Sunmonu
Parallel finite element methods,
in: Proc 5th ISMM Conf on Parallel and Distributed Computing
Systems,(1992).
- V Ervin, W Layton and J Maubach,
Some graph coloring problems in
parallel numerical methods,
Algorithms in Algebra (A H M Levelt, ed) 39-48, 1993.
- R Jeurissen and W Layton,
Load balancing via graph coloring:an algorithm,
Computers and Math w. Applications,27(1994),27-32.
- W Layton and P Rabier,
Peaceman-Rachford procedures and domain decomposition for finite element
problems,
J Num Lin Algb and Appls, 2(1995) 363-394.
- W Layton , J Maubach and P Rabier,
Parallel algorithms for maximal monotone operators of local type,
Numer. Math.,71(1995), 29-58.
- W Layton and P Rabier,
The element separation property and parallel finite element methods for
the Navier Stokes equations,
Appl Math L,8(1995) 97-102.
- W Layton, J Maubach and P Rabier,
Robustness of an elementwise parallel finite element method for
convection-diffusion problems,
SIAM I Sci Comput, 19(1998) 1870-1891.
- W Layton, J Maubach and P Rabier,
Robust Methods for Highly Nonsymmatric Problems,
Contemporary Mathematics,180(1994)265-270.
- V Ervin and W Layton,
A robust and parallel relaxation method based on algebraic splittings,
Num Meth for PDE's, (1999)91-110.