The finite element method for parabolic equations

Perturbation Theory for Linear Operators

1995 • 17,079 citations

Perturbation theory for linear operators

1966 • 7,568 citations

Non-Homogeneous Boundary Value Problems and Applications

1973 • 4,813 citations

Error Estimates for Adaptive Finite Element Computations

1978 • 1,406 citations

A‐posteriori error estimates for the finite element method

1978 • 1,178 citations

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations

1972 • 958 citations

J. L. Lions and E. Magenes, Non‐Homogeneous Boundary Value Problems and Applications, II. (Die Grundlehren d. Math. Wissenschaften, Bd. 182). XI + 242 S. Berlin/Heidelberg/New York 1972. Springer‐Verlag. Preis geb. DM 58,—

1973 • 807 citations

A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

1973 • 664 citations

Moving Finite Elements. I

1981 • 482 citations

Galerkin Methods for Parabolic Equations

1970 • 395 citations

Caract�risation de quelques espaces d'interpolation

1967 • 317 citations

The moving finite element method: Applications to general partial differential equations with multiple large gradients

1981 • 218 citations

Galerkin-Type Approximations which are Discontinuous in Time for Parabolic Equations in a Variable Domain

1978 • 163 citations

Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations

1977 • 151 citations

Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements

1977 • 143 citations

Analysis of Optimal Finite-Element Meshes in R 1

1979 • 129 citations

An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations

1982 • 127 citations

A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems

1981 • 120 citations

Mesh modification for evolution equations

1982 • 78 citations

The finite element method for parabolic equations

1982 • 75 citations

Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems

1980 • 59 citations

Negative norm estimates and superconvergence in Galerkin methods for parabolic problems

1980 • 55 citations

A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations

1978 • 41 citations

A Survey of Software for Partial Differential Equations

1980 • 40 citations

Analysis of optimal finite-element meshes in 𝑅¹

1979 • 36 citations