ANALYSIS OF THE MIXED BOUNDARY VALUE PROBLEM FOR THE POISSON’S EQUATION

DOI10.14529/mmph210104zbMath1479.35254OpenAlexW3127858793MaRDI QIDQ5153891

Andreĭ Leonidovich Ushakov

Publication date: 1 October 2021

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm471

zbMATH Keywords

Poisson's equationmethod of fictitious componentsmethod of iterative extensions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• The fictitious-domain method and explicit continuation operators
• A direct Method for the Discrete Solution of Separable Elliptic Equations
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case
• An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation
• About Modelling of Deformations of Plates
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