Numerical Solution of Equilibrium Equations
Commun. Korean Math. Soc. 2000 Vol. 15, No. 1, 133-142
Ho-Jong Jang
Hanyang University
Abstract : We consider some numerical solution methods for equilibrium equations $Af+E^T\lambda=r$, $Ef=s$. Algebraic problems of this form evolve from many applications such as structural optimization, fluid flow, and circuits. An important approach, called the force method, to the solution to such problems involves dimension reduction nullspace computation for $E$. The purpose of this paper is to investigate the substructuring method for the solution step of the force method in the context of the incompressible fluid flow. We also suggests some iterative methods based upon substructuring scheme.
Keywords : equilibrium equation, substructuring method, force method, fluid flow, parallel computation
MSC numbers : 65F10, 65F50, 76D05
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