Dependence of the round-off error in the solution of boundary integral equations on a geometrical scale factor

DOI10.1016/0045-7825(87)90018-1zbMath0628.65138OpenAlexW2062271235MaRDI QIDQ1093351

Ulrich Heise

Publication date: 1987

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(87)90018-1

zbMATH Keywords

boundary element methodscondition numberselastostatic problemsboundary integral equation methodslogarithmic kernelsgeometric scale factorround-off error reduction

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

An asymptotic property of degenerate scales for multiple holes in plane elasticity ⋮ Spectra of integral operators for ellipse- and hyperbola-shaped boundaries ⋮ Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem

Cites Work

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• Condition of boundary integral equations in which the sought-for function and the given right-hand side are defined on different domains; round-off errors in the numerical solutions
• Numerical calculation of eigenvalues of integral operators for plane elastostatic boundary value problems
• Comparison of round-off errors in integral equation formulations of elastostatical boundary value problems
• The spectra of some integral operators for plane elastostatical boundary value problems
• On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^†
• Condition number of matrices derived from two classes of integral equations
• Numerical properties of integral equations in which the given boundary values and the sought solutions are defined on different curves

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