Method of Adaptive-Gradient Elements for Computational Mechanics
Publication: Journal of Engineering Mechanics
Volume 133, Issue 1
Abstract
For tackling high-gradient, localized, or singular boundary value problems, the concept of an adaptive-gradient (AG) element family is introduced to advance the utility of discretization methods. Capable of encompassing regular and singular elements as special cases, a basic but versatile family of AG elements for multidimensional applications is derived whose gradient and singularity can be controlled parametrically to handle a wide variety of functional behavior with standard mesh configurations. As illustrations, examples of usage and performance in a set of linear and nonlinear mixed-boundary value problems are presented.
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Acknowledgments
The support of the National Science Foundation through Grant No. CMS-0201353 and a GAANN fellowship to the second writer from the Department of Education are gratefully acknowledged.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 1 • January 2007
Pages: 87 - 97
Copyright
© 2007 ASCE.
History
Received: Oct 7, 2005
Accepted: Mar 31, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
Notes
Note. Associate Editor: Bojan B. Guzina
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