Mechanical quadrature methods and extrapolation algorithms for boundary integral equations with linear boundary conditions in elasticity

DOI10.1007/s10659-011-9364-zzbMath1455.65230OpenAlexW2067444768MaRDI QIDQ438911

Xin Luo, Pan Cheng, Jin Huang, Zhu Wang

Publication date: 31 July 2012

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-011-9364-z

zbMATH Keywords

elasticityasymptotic expansiona posteriori error estimateextrapolation algorithmmechanical quadrature method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items (2)

Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ Mechanical quadrature methods and extrapolation for solving nonlinear problems in elasticity

Cites Work

• High accuracy eigensolution and its extrapolation for potential equations
• A high-order boundary integral method for surface diffusions on elastically stressed axisymmetric rods
• Integral equation methods for elliptic problems with boundary conditions of mixed type
• Quadrature methods for periodic singular and weakly singular Fredholm integral equations
• Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations
• Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity
• Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods
• Extrapolation Algorithms for Solving Mixed Boundary Integral Equations of the Helmholtz Equation by Mechanical Quadrature Methods
• Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity
• Singularity subtraction in the numerical solution of integral equations
• Practical Extrapolation Methods
• Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
• Least-Squares Methods for Linear Elasticity
• An extrapolation method for a class of boundary integral equations
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