Reducing Dispersion of Linear Triangular Elements for the Helmholtz Equation
Publication: Journal of Engineering Mechanics
Volume 128, Issue 3
Abstract
The Galerkin/least squares (GLS) modification improves the performance of finite-element computations of time-harmonic acoustics at high wave numbers. The design of the GLS resolution-dependent method parameter for two-dimensional computation in previous work was based on dispersion analysis of one-dimensional and square bilinear elements. We analyze the dispersion of linear triangular finite elements, and define method parameters that eliminate dispersion on a hexagonal patch. Numerical tests compare the performance of the proposed method with established techniques on structured and unstructured triangular meshes. Based on this work, we propose a method parameter that may be used for computation with both linear triangular and bilinear quadrilateral elements.
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Published In
Journal of Engineering Mechanics
Volume 128 • Issue 3 • March 2002
Pages: 351 - 358
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Aug 17, 2001
Accepted: Aug 17, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002
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