The calculation of singular coefficients

DOI10.1016/0045-7825(85)90093-3zbMath0553.73067OpenAlexW1983318409MaRDI QIDQ759545

A. McKerell, L. M. Delves, M. Kermode

Publication date: 1985

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(85)90093-3

zbMATH Keywords

crack tiptriangular elementssingular coefficientsre-entrant cornercircular regionselliptic partial differential equation near a singular pointgeneral curvilinear elementsglobal element methodleast squares fitting proceduresingular expansionvariable-order finite element method

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Finite element methods applied to problems in solid mechanics (74S05) Analyticity in context of PDEs (35A20) Numerical and other methods in solid mechanics (74S99)

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Cites Work

• The global element method applied to a harmonic mixed boundary value problem
• Chebyshev expansion methods for the solution of elliptic partial differential equations
• Finite element methods for elliptic problems with singularities
• A Curved Macro-Element for Cracks and Corners
• An Implicit Matching Principle for Global Element Calculations
• A Fast Implementation of the Global Element Method
• Singularities in the Solution of Laplace's Equation in Two Dimensions
• Singular Isoparametric Finite Elements
• Finite element solution of boundary-value problems with non-removable singularities
• The treatment of singularities of partial differential equations by relaxation methods
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