A Generalized Finite Element Method for the Obstacle Problem of Plates
Susanne C. Brenner, Christopher B. Davis, Li-yeng Sung
TL;DR
This paper introduces a generalized finite element method tailored for the obstacle problem of clamped Kirchhoff plates, providing optimal error estimates and demonstrating its effectiveness through numerical experiments.
Contribution
The paper develops a novel generalized finite element approach specifically for the obstacle problem of plates, with proven optimal error bounds and validated numerical results.
Findings
Optimal error estimates derived for the method
Numerical results confirm the method's effectiveness
The approach improves upon existing finite element techniques
Abstract
A generalized finite element method for the displacement obstacle problem of clamped Kirchhoff plates is considered in this paper. We derive optimal error estimates and present numerical results that illustrate the performance of the method.
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Taxonomy
TopicsTopology Optimization in Engineering · Elasticity and Material Modeling · Robotic Mechanisms and Dynamics