Andrew Ilin

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We describe the development of some parallel iterative techniques for solving boundary value problems for elliptic partial differential equations. Using domain decomposition techniques, we modify standard sequential iterative techniques to obtain effective parallel methods. We contrast implementations on distributed-memory and shared-memory scalable(More)
Over the past few years it has been demonstrated that iterative methods for nding the solution of linear systems of equations ooer major advantages over thèdirect' methods in various physical and numerical problems. We discuss here improvements in conjugate gradients algorithms applied to the reduction on the reference great circles for the Hipparcos or(More)
We discuss high-order nite element methods to simulate the ow of incompressible viscous uids. We focus on algorithms for solving the related algebraic equations eeciently using the iterated penalty method for resolving the incom-pressibility constraint. We show that direct methods may be a suitable choice for solving the resulting linear equations , at(More)
This report describes a parallelization of the University of Houston Brownian Dynamics (UHBD) program which has two complimentary stages. In the rst, an electrostatics problem is solved for a macromolecule in solution. Then \Brownian dynamics" simulates the diiusion of molecules in the solution subject to the electrostatic forces. The most challenging part(More)
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