Application of \(hp\)-adaptive BE/FE methods to elastic scattering

DOI10.1016/0045-7825(95)00945-0zbMath0918.73289OpenAlexW2081463994WikidataQ126421494 ScholiaQ126421494MaRDI QIDQ1371908

J. Tinsley Oden, Leszek F. Demkowicz

Publication date: 14 December 1997

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

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00945-0

zbMATH Keywords

variational formulationa posteriori error estimateasymptotic convergenceBurton-Miller integral equationelement-by-element solverstandard Galerkin methodssteady-state linear elasticity equations

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Wave scattering in solid mechanics (74J20)

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Uses Software

• GMP

Cites Work

• Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element method
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• Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
• On an h-type mesh-refinement strategy based on minimization of interpolation errors
• Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element methods
• A unified approach to a posteriori error estimation using element residual methods
• Asymptotic convergence in finite and boundary element methods. I: Theoretical results
• Asymptotic convergence in finite and boundary element methods. II: The LBB constant for rigid and elastic scattering problems
• Entropy controlled adaptive finite element simulations for compressible gas flow
• Plenary Lectures
• On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem
• On a Data Structure for Adaptive Finite Element Mesh Refinements
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• FREQUENCY DOMAIN TREATMENT OF ONE-DIMENSIONAL SCALAR WAVES
• Application of the three-dimensional triangular-prism hpq adaptive finite element to plate and shell analysis
• Recent progress on application of hp‐adaptive BE/FE methods to elastic scattering
• Error analysis in numerical solution of acoustic integral equations
• Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
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