Abstract
AbstractA study is conducted of the finite element solution of elliptic partial differential equations on a data parallel computer. A nodal assembly technique is introduced which maps a single node to a single processor. The system of equations is first assembled and then solved in parallel using a conjugate gradient algorithm for unsymmetric, non‐positive definite systems. Using this technique and a massively parallel machine, problems in excess of 100k nodes are solved.Results of electromagnetic scattering, governed by the 2‐d scalar Helmholtz equation, are presented for both an infinite cylinder and an airfoil cross‐section. Solutions are demonstrated for a wide range of object sizes. A summary of performance data is given for a set of test problems.
Published Version
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