The method of fundamental solutions for Brinkman flows. I: Exterior domains

DOI10.1007/s10665-020-10082-3zbMath1476.65329OpenAlexW3119616074MaRDI QIDQ2060965

Andreas Karageorghis, Liviu Marin, Daniel Lesnic

Publication date: 13 December 2021

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-020-10082-3

zbMATH Keywords

inverse problemmethod of fundamental solutionsBrinkman flownonlinear minimization

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

The method of fundamental solutions for Brinkman flows. II: Interior domains

Uses Software

• Matlab
• lsqnonlin

Cites Work

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• The influence of hindered transport on the development of platelet thrombi under flow
• On the boundedness of the Stokes semigroup in two-dimensional exterior domains
• Meshfree methods for nonhomogeneous Brinkman flows
• Density results using Stokeslets and a method of fundamental solutions for the Stokes equations
• The method of fundamental solutions for 2D and 3D Stokes problems
• A survey of applications of the MFS to inverse problems
• The boundary value problems of the Stokes resolvent equations inn dimensions
• Analysis of the Brinkman equation as a model for flow in porous media
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• A moving pseudo‐boundary method of fundamental solutions for void detection
• Two-dimensional Brinkman flows and their relation to analogous Stokes flows
• The method of fundamental solutions for the Oseen steady‐state viscous flow past obstacles of known or unknown shapes
• The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝⁿ
• Green's function of the Brinkman equation in a 2D anisotropic case
• Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations
• Solutions of slow Brinkman flows using the method of fundamental solutions
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles