Worst-Case Pointwise Discretization Error Bounds for Systems with Geometrically Induced Singular Flux Solutions Using Interval Boundary Element Method
Publication: Journal of Engineering Mechanics
Volume 136, Issue 6
Abstract
This paper describes the interval boundary element method treatment of the pointwise discretization error for systems with geometrically generated flux singularities. Worst-case interval bounds are provided for the local discretization error for all elements except for the element with a singular flux solution, for which the flux intensity factor is enclosed. An example is presented showing the behavior of the interval bounds on the local discretization error for systems with geometrically induced singularities.
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Acknowledgments
The writers would like to acknowledge the support from the Center for Reliable Engineering Computing (REC).
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Published In
Journal of Engineering Mechanics
Volume 136 • Issue 6 • June 2010
Pages: 710 - 720
Copyright
© 2010 ASCE.
History
Received: Aug 7, 2008
Accepted: Oct 25, 2009
Published online: Oct 29, 2009
Published in print: Jun 2010
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