Upwinding by Petrov-Galerkin methods in convection-diffusion problems

DOI10.1016/0771-050X(80)90029-7zbMath0467.76081OpenAlexW1981169599MaRDI QIDQ1156051

A. R. Mitchell, D. F. Griffiths

Publication date: 1980

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0771-050x(80)90029-7

zbMATH Keywords

upwindingnonlinear Burgers' equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06) Diffusion and convection (76R99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Numerical methods for time-dependent convection-diffusion equations ⋮ A compact method for second-order boundary value problems on nonuniform grids ⋮ Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations ⋮ The alpha interpolation method for the solution of an eigenvalue problem ⋮ An explicit finite element method for convection-diffusion equations using rational basis functions ⋮ Cubic spline solution of two-point boundary value problems with significant first derivatives ⋮ A quintic spline collocation method for solving time-dependent convection-diffusion problems ⋮ An error analysis for the finite element method applied to convection diffusion problems ⋮ Progress in computational physics ⋮ Boundary elements in steady convective diffusion problems

Cites Work

• Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
• Skew upstream differencing schemes for problems involving fluid flow
• Differencing scheme for a differential equation with a small parameter affecting the highest derivative
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• A Modified Upwind Scheme for Convective Transport Equations and the Use of a Conjugate Gradient Method for the Solution of Non-Symmetric Systems of Equations
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
• Upwinding of high order Galerkin methods in conduction−convection problems
• On a quasi-linear parabolic equation occurring in aerodynamics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item