Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization

Autor:	Mikhail M. Galanin, Tatiana V. Nizkaya
Rok vydání:	2005
Předmět:	Computational Mathematics Numerical Analysis Discretization Slosh dynamics Applied Mathematics Mathematical analysis Integral equation Mathematics
Zdroj:	Computational Methods in Applied Mathematics. 5:259-275
ISSN:	1609-9389 1609-4840
Popis:	In this work we propose a new method for solving linear elliptic equations in an unbounded domain. The method is based on the representation of the exact solution as the sum of two functions. The former is the solution of some auxiliary problem and the latter can be found using the Green formula. Using finite-difference schemes, this method has a quadratic order of accuracy independent of the size of the computational domain, and in the 2D case requires O(N³) operations to find the solution, where N³ is the number of nodes within the computational domain. In the 3D case the method requires O(N^4) operations. Test computational examples showing the method's efficiency are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::31e3831e18c62572a6896d9927fda8bc https://doi.org/10.2478/cmam-2005-0013 Zobrazit plný text záznamu