Some simple boundary value problems with corner singularities and boundary layers

DOI10.1016/j.camwa.2006.03.010zbMath1136.35344OpenAlexW2076461900MaRDI QIDQ2475867

R. Bruce Kellogg

Publication date: 11 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.03.010

zbMATH Keywords

singular perturbationsconvection-diffusion problemcorner singularitiesboundary layersself-adjoint probleminterior layers

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25)

Related Items (6)

Geometric singularities and regularity of solution of the Stokes system in nonsmooth domains ⋮ Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ Novel fitted operator finite difference methods for singularly perturbed elliptic convection–diffusion problems in two dimensions ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization ⋮ Virtual element method for singularly perturbed reaction-diffusion problems on polygonal domains

Cites Work

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• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Elliptic problems in domains with piecewise smooth boundaries
• Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon
• A difference approximation of a singularly perturbed boundary-value problem for quasilinear elliptic equations degenerating into first-order equations
• The stability of swirling flows at large Reynolds number when subjected to disturbances with large azimuthal wavenumber
• Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
• A singularly perturbed convection–diffusion problem in a half-plane
• The Boundary Layer for the Reissner–Mindlin Plate Model
• Compressible Stokes problem on nonconvex polygonal domains

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