Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Computer Assisted Mechanics and Engineering Sciences

1 2004

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: równanie różniczkowe Laplace'a

Sortuj według:

Ogranicz wyniki do:

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

Skorokhodov S. L., Vlasov V. I.

Computer Assisted Mechanics and Engineering Sciences

2004

Vol. 11, No. 2-3

223-238

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.