Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization
Abstract: 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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Integral Equations of the Linear Sloshing in an Infinite Chute and Their Discretization ; volume:5 ; number:3 ; year:2005 ; pages:259-275
Computational methods in applied mathematics ; 5, Heft 3 (2005), 259-275
- Urheber
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Galanin, Mikhail M.
Nizkaya, Tatiana V.
- DOI
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10.2478/cmam-2005-0013
- URN
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urn:nbn:de:101:1-2410261616247.345981646967
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:22 MESZ
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Beteiligte
- Galanin, Mikhail M.
- Nizkaya, Tatiana V.
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