ICAP 2002 Abstracts and Posters

Phi3P: A 3D Parallel Statics Solver using Field-based Hybrid Finite


Abstract

In this paper, we describe the 3D parallel statics solver, Phi3P, using a hybrid finite element formulation that is field-based. Whitney linear face and edge elements are used to interpolate B and H respectively to guarantee field continuity across boundaries. The new formulation strongly imposes Maxwell^Òs equations while minimizes the residual of the constitutive equation, leading to a large, sparse, and indefinite system of equations. We present an efficient iterative algorithm to solve such a system on parallel computers and report results from solving magnet design problems in accelerators.


Wanjun Mi, Zenghai Li, Gene Golub


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