Boundary Element Method for Solving an Inhomogeneous Biharmonic Equation with a Right-Hand Side Containing the Unknown Function and Its Derivatives

A boundary element method is proposed for solving an inhomogeneous biharmonic equation with a right-hand side containing the sought function and its derivatives. The accuracy of numerical results obtained for a test problem is analyzed by comparing them with its analytical solution. The flow through...

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Veröffentlicht in:	Computational mathematics and mathematical physics 2021-04, Vol.61 (4), p.591-606
Hauptverfasser:	Mardanov, R. F., Mardanova, A. E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Biharmonic equations Boundary element method Brinkman model Computational Mathematics and Numerical Analysis Exact solutions Mathematical analysis Mathematics Mathematics and Statistics Partial Differential Equations Porous media
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Beschreibung
Zusammenfassung:	A boundary element method is proposed for solving an inhomogeneous biharmonic equation with a right-hand side containing the sought function and its derivatives. The accuracy of numerical results obtained for a test problem is analyzed by comparing them with its analytical solution. The flow through a porous medium with a nonuniform permeability distribution based on the Brinkman model is computed.
ISSN:	0965-5425 1555-6662
DOI:	10.1134/S0965542521040084