Galerkin/Least-Squares Finite Element Processes for BVP in h, p, k Mathematical Framework

DOI10.1080/15502280701606609zbMath1135.65355OpenAlexW2084599532MaRDI QIDQ5451537

R. Kanti Mahanthi, J. N. Reddy, Karan S. Surana

Publication date: 27 March 2008

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502280701606609

zbMATH Keywords

Galerkin methodnumerical examplesfinite elementleast squaresboundary value problem (BVP)steady-state convection-diffusion equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

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• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
• An evaluation of upwind and central difference approximations by a study of recirculating flow
• Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
• Finite element methods for second order differential equations with significant first derivatives
• A simple scheme for developing ‘upwind’ finite elements

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