The Multipole method for the Laplace equation in domains with polyhedral corners

• Autorzy: Skorokhodov S. L. , Vlasov V. I.
• Języki publikacji: EN

Abstrakty

EN

A new analytic-numerical method has been developed for solving the Laplace equation in domains with cones of arbitrary base, in particular with polyhedral corners. The solution is represented as an expansion involving singular functions (the Multipoles), which play the role of basic functions. The method enables to find these functions explicitly and to compute efficiently their singularity exponents. The method possesses exponential rate of convergence and provides precise computation of the solution, its derivatives and intensity factors at the edges and at the corner point. In addition, an asymptotic expansion of the solution near the edges of polyhedral corner has been obtained.

Słowa kluczowe

EN

Laplace equation; multipole method

PL

równanie różniczkowe Laplace'a; metoda wielobiegunów

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2004
• Tom: Vol. 11, No. 2-3
• Strony: 223--238
• Opis fizyczny: Bibliogr. 31 poz., rys., wykr.

Twórcy

autor

Skorokhodov S. L.

• Dorodnicyn Computing Cetre of Russian Acad. Sci., 40 Vanilova Str., Moscow 119991

autor

Vlasov V. I.

• Dorodnicyn Computing Cetre of Russian Acad. Sci., 40 Vanilova Str., Moscow 119991

Bibliografia

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