Highly Accurate Adaptive hp-Methods for Linear Elastostatics

by J. Tinsley Oden, Univ of Texas at Austin, Austin, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

A new class of highly accurate, self-adaptive computational methods for two- and three-dimensional elastostatics problems is presented which can deliver solutions to general boundary-value problems in elasticity with any prescribed level of accuracy. The techniques feature the use of optimal adaptive control strategies to manage mesh size and spectral order as free discretization parameters. These are automatically selected to yield solutions with any preassigned accuracy with a near-minimum number of degrees of freedom.

Subject Headings: Elastic analysis | Adaptive systems | Parameters (statistics) | Linear functions | Degrees of freedom | Boundary value problem | Mathematics

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