Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems

Maximum Principles in Differential Equations

1984 • 3,599 citations

Perturbation Methods in Applied Mathematics

1981 • 1,490 citations

Error Estimates for Adaptive Finite Element Computations

1978 • 1,406 citations

Finite elements in fluids

1975 • 1,033 citations

An ‘upwind’ finite element scheme for two‐dimensional convective transport equation

1977 • 585 citations

Finite element analysis of incompressible viscous flows by the penalty function formulation

1979 • 582 citations

Finite element methods for second order differential equations with significant first derivatives

1976 • 538 citations

Asymptotic Analysis of Singular Perturbations

1979 • 444 citations

Analysis of some difference approximations for a singular perturbation problem without turning points

1978 • 411 citations

Don't suppress the wiggles—They're telling you something!

1981 • 327 citations

Numerical analysis of singular perturbation problems

1983 • 164 citations

Quadratic finite element schemes for two‐dimensional convective‐transport problems

1977 • 155 citations

On a Data Structure for Adaptive Finite Element Mesh Refinements

1980 • 123 citations

A numerical study of stiff two-point boundary problems

1977 • 121 citations

An Analysis of some Finite Element Methods for Advection-Diffusion Problems

1981 • 115 citations

Reliable error estimation and mesh adaptation for the finite element method

1979 • 108 citations

Boundary Value Problems of Mathematical Physics, Vol. 1

1967 • 103 citations

A priori estimates and analysis of a numerical method for a turning point problem

1984 • 83 citations

Upwinding of high order Galerkin methods in conduction−convection problems

1978 • 81 citations

Computational error estimates and adaptive processes for some nonlinear structural problems

1982 • 60 citations

Analysis of finite element methods for second order boundary value problems using mesh dependent norms

1980 • 54 citations

STREAMLINE-UPWIND/PETROV-GALERKIN METHODS FOR ADVECTION DOMINATED FLOWS

1980 • 52 citations

An analysis of the petrov—galerkin finite element method

1978 • 45 citations

Optimal finite element solutions to diffusion–convection problems in one dimension

1980 • 42 citations

The finite element method and convection problems in fluid mechanics

1978 • 39 citations

Error bounds for exponentially fitted galerkin methods applied to stiff two-point boundary value problems

1979 • 30 citations

An error analysis for the finite element method applied to convection diffusion problems

1982 • 30 citations

Optimal Petrov—Galerkin Methods through Approximate Symmetrization

1981 • 24 citations

A‐posteriori error analysis and adaptive finite element methods for singularly perturbed convection‐diffusion equations

1982 • 12 citations

A Finite-Element Singular-Perturbation Technique for Convection-Diffusion Problems—Part 1: The One-Dimensional Case

1981 • 7 citations

On some a posteriori error estimates in the finite element method

1981 • 4 citations

A Finite-Element Singular-Perturbation Technique for Convection-Diffusion Problems—Part 2: Two-Dimensional Problems

1981 • 4 citations

Exponentially derived switching schemes for inviscid flow

1984 • 3 citations

Exponentially derived switching schemes

1982 • 1 citations

An Analysis of a Finite Element Method for Convection-Diffusion Problems. Part II. A Posteriori Error Estimates and Adaptivity.

1983 • 1 citations

Deleted Work

1955 • 0 citations