Quadrature methods for Symm's integral equation on polygons

IMA Journal of Numerical Analysis

Volumn 17, Issue 4, 1997, Pages 643-664

  Elschner, Johannes ^a   Graham, Ivan G ^b  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

^b UNIVERSITY OF BATH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY INTEGRAL EQUATIONS; CALCULATIONS; MATHEMATICAL OPERATORS;

CONVERGENCE RESULTS; LOGARITHMIC KERNELS; MELLIN PSEUDO-DIFFERENTIAL OPERATORS; PIECE-WISE CONSTANTS; POLYGONAL DOMAIN; QUADRATURE METHODS; SPLINE COLLOCATION METHODS; STABILITY AND CONVERGENCE;

PIECEWISE LINEAR TECHNIQUES;

EID: 0031508703     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/17.4.643     Document Type: Article

References (12)

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3. ELSCHNER, J. 1988 On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials. Math. Methods Appl. Sci. 10, 543-59.
4. ELSCHNER, J., & GRAHAM, I. G. 1995a An optimal order collocation method for first kind boundary integral equations on polygons. Numer. Math. 70, 1-31.
5. ELSCHNER, J., & GRAHAM, I. G. 1995b Parametrization methods for first kind integral equations on non-smooth boundaries. Boundary Value Problems and Integral Equations on Nonsmooth Domains (Lecture Notes in Pure and Applied Mathematics 167,) (M. COSTABEL, M. DAUGE, and S. NICAISE, eds). New York: Marcel Dekker, pp 81-99.
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8. PRÖSSDORF, S., & SILBERMANN, B. 1991 Numerical Analysis for Integral and Related Operator Equations. Berlin: Akademie.
9. SARANEN, J., & WENDLAND, W. L. 1985 On the asymptotic convergence of collocation methods with spline functions of even degree. Math. Comput. 45, 91-108.
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11. SLOAN, I. H. 1992 Error analysis for boundary integral methods. Acta Numerica 1, 287-339.
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