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Numerical methods for static shallow shells lying over an obstacle

Authors
  • Piersanti, Paolo1
  • Shen, Xiaoqin2
  • 1 Karl-Franzens-Universität Graz,
  • 2 Xi’an University of Technology,
Type
Published Article
Journal
Numerical Algorithms
Publisher
Springer US
Publication Date
Jan 10, 2020
Volume
85
Issue
2
Pages
623–652
Identifiers
DOI: 10.1007/s11075-019-00830-7
PMID: 32968341
PMCID: PMC7477000
Source
PubMed Central
Keywords
License
Unknown

Abstract

In this paper, a finite element analysis to approximate the solution of an obstacle problem for a static shallow shell confined in a half space is presented. To begin with, we establish, by relying on the properties of enriching operators, an estimate for the approximate bilinear form associated with the problem under consideration. Then, we conduct an error analysis and we prove the convergence of the proposed numerical scheme.

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