The finite element method in anisotropic Sobolev spaces

DOI10.1016/j.camwa.2004.06.020zbMath1064.65136OpenAlexW2130059180MaRDI QIDQ1767895

J. F. Eastham, Janet S. Peterson

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.020

zbMATH Keywords

convergencefinite elementsGalerkin approximationelliptic boundary value problemanisotropic Sobolev spacesOnsager pancake equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Anisotropic NURBS approximation in isogeometric analysis ⋮ A Priori Error Estimates for Finite Element Methods forH^(2,1)-Elliptic Equations ⋮ Linear pantographic sheets: existence and uniqueness of weak solutions ⋮ Approximate eigensolutions for non-axisymmetric rotating compressible flows

Cites Work

• An analysis of a mixed finite element method for the Navier-Stokes equations
• A practical guide to splines
• On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations
• Onsager's pancake approximation for the fluid dynamics of a gas centrifuge
• Equivalent Norms for Sobolev Spaces
• Boundary properties of functions defined on a region with angular points. I
• Extension of functions of several variables preserving differential properties
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