On efficient evaluation of integrals entering boundary equations of 3D potential and elasticity theory

• Autorzy: Rybarska-Rusinek L. , Jaworski D. , Linkov A.

Identyfikatory

DOI

10.7862/rf.2014.8

• Języki publikacji: EN

Abstrakty

EN

The paper presents recurrent formulae for efficient evaluation of all the integrals needed for colving static 3D potential and elasticity problems by the boundary elements method. The power-type asymptoties for the density at edges of the boundary are accounted for explicitly.

Słowa kluczowe

EN

potential problems; elasticity problems; singular boundary integral equations; hypersingular boundary integral equations; boundary element method; higher order approximations; edge element; elliptic integrals

PL

problemy elastyczności; równania całkowe; metoda elementów brzegowych; aproksymacja wyższego rzędu; całka eliptyczna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2014
• Tom: Vol. 37
• Strony: 85--96
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Rybarska-Rusinek L.

• Department of Mathematics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland

autor

Jaworski D.

• Department of Mathematics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland

autor

Linkov A.

• Department of Mathematics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland

Bibliografia

• [1] Banerjee P. K., Butterfield R., Bondueary element methods in engineering science, McGrawHill Book Co., UK, 1981.
• [2] Carlson B. C., A Table of elliptic integrals: one quadratic factor, Mathematics of computation, 56, 1991, pp. 267-280.
• [3] Carlson B. C. Numerical computation of real or complex elliptic integrals, numerical Algorithms, 10, 1995, pp. 13-26.
• [4] Linkov A. M. Boundary integral equations in elasticity theory, Kluwer Academic Publishers, Dordrecht-Boston-London, 2002.
• [5] Linkov A. M., Zoubkov V. V. and Kheib M. A., A method of solving threedimensional problems of seam working and geological faults, J. Sci., vol. 33 (4), 1997, pp. 3-18.
• [6] Zill D. G., Carlson B. C., Symmetric elliptic integrals of the third kind, Mathematics of computation, 24, 1970, pp. 199-214.