Boundary element method for solving an inhomogeneous biharmonic equation with a right-hand side containing the unknown function and its derivatives

DOI10.1134/S0965542521040084zbMath1465.76064OpenAlexW3172467593MaRDI QIDQ2030119

A. E. Mardanova, Renat F. Mardanov

Publication date: 7 June 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521040084

zbMATH Keywords

boundary element methodbiharmonic equationBrinkman modelporous medium flownonuniform permeability

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Boundary element methods applied to problems in fluid mechanics (76M15)

Cites Work

• Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method
• Solution of nonhomogeneous Helmholtz equation with variable coefficient using boundary domain integral method
• Two-dimensional Stokes flows in porous medium composed of a large number of circular inclusions
• Slow flow through a periodic array of spheres
• Computational fluid dynamics by boundary-domain integral method
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
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