Space–time Galerkin least-squares method for the one–dimensional advection–diffusion equation

DOI10.1080/00207160801965297zbMath1182.65154OpenAlexW2103619934MaRDI QIDQ5852126

Mohan K. Kadalbajoo, Puneet Kumar Arora

Publication date: 26 January 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160801965297

zbMATH Keywords

stabilitynumerical resultsboundary layersadvection-diffusion equationsB-splines

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Galerkin-least square B-spline approach toward advection-diffusion equation ⋮ Two‐sided Krylov enhanced proper orthogonal decomposition methods for partial differential equations with variable coefficients

Cites Work

• Time-accurate solution of advection-diffusion problems by finite elements
• A space-time least-square finite element scheme for advection-diffusion equations
• A relationship between stabilized finite element methods and the Galerkin method with bubble functions
• A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
• Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
• Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)

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