A stabilized separation of variables method for the modified biharmonic equation

DOI10.1007/s10915-018-0679-9zbMath1422.65444arXiv1710.05408OpenAlexW2963483602MaRDI QIDQ1785509

Travis Askham

Publication date: 28 September 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05408

zbMATH Keywords

integral equationspecial functionsfast multipole methodseparation of variablesmodified biharmonic equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical methods for partial differential equations, boundary value problems (65N99) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Multipole methods applied to problems in optics and electromagnetic theory (78M16)

Related Items (5)

On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains ⋮ The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods ⋮ Generalized finite integration method with Volterra operator for multi-dimensional biharmonic equations ⋮ modbh ⋮ A fast integral equation method for the two-dimensional Navier-Stokes equations

Uses Software

• EISPACK
• DLMF
• FFTPACK
• FMMLIB2D

Cites Work

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