Second kind integral equation formulation for the modified biharmonic equation and its applications

DOI10.1016/j.jcp.2013.04.034zbMath1427.76206OpenAlexW2018906628MaRDI QIDQ465566

Mary Catherine A. Kropinski, Bryan D. Quaife, Shidong Jiang

Publication date: 23 October 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.04.034

zbMATH Keywords

Navier-Stokes equationsunsteady Stokes flowsecond kind integral equationmodified biharmonic equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items

An adaptive kernel-split quadrature method for parameter-dependent layer potentials, A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points, On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains, A boundary integral equation approach to computing eigenvalues of the Stokes operator, Higher-order temporal integration for the incompressible Navier-Stokes equations in bounded domains, A stabilized separation of variables method for the modified biharmonic equation, A fast integral equation method for the two-dimensional Navier-Stokes equations, A New Mixed Potential Representation for Unsteady, Incompressible Flow

Uses Software

• Matlab

Cites Work

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