Approximation of boundary values in the boundary element method

DOI10.1016/0307-904X(84)90172-0zbMath0525.73091OpenAlexW2075544894MaRDI QIDQ593875

Janusz Orkisz, Witold Cecot

Publication date: 1984

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(84)90172-0

zbMATH Keywords

collocation methodfinite difference methodboundary element methodspline functionsapproximation of boundary valuesarbitrarily irregular meshesbending momentscoarse and fine gridseffective computer CPU timesLagrangian polynomials of zeroth, first and second ordersleast-squares techniquemaximal errors of deflectionsplates with various boundary conditionsweighted minimization technique

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical and other methods in solid mechanics (74S99)

Cites Work

• Boundary integral formulation for plate flexure with arbitrary boundary conditions
• A general boundary integral formulation for the numerical solution of plate bending problems
• On calculating with B-splines
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• A boundary integral method applied to plates of arbitrary plan form and arbitrary boundary conditions
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