Worst case bounds on the point-wise discretization error in boundary element method for the elasticity problem

DOI10.1016/J.CMA.2009.05.003zbMath1229.74144OpenAlexW2145637860MaRDI QIDQ658285

Bart F. Zalewski, Robert L. Mullen

Publication date: 11 January 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.05.003

zbMATH Keywords

boundary element methodinterval analysiselastostaticsdiscretization errorinterval boundary element method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• Interval boundary element method in the presence of uncertain boundary conditions, integration errors, and truncation errors
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
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• Kernel-splitting technique for enclosing the solution of Fredholm equations of the first kind
• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• Local discretization error bounds using interval boundary element method
• Self-validating methods

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