Maximum norm stability and error estimates in parabolic finite element equations

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations

Natural Sciences, Mechanical Engineering, Differential Equations +10

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

Mary F. Wheeler · SIAM Journal on Numerical Analysis · 1973 · 684 citations

Computing, Computational Engineering, Computational Mechanics +16

On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems

Shmuel Agmon · Communications on Pure and Applied Mathematics · 1962 · 586 citations

Natural Sciences, Computational Engineering, Computational Mechanics +10

On Rational Approximations of Semigroups

Philip Brenner, Vidar Thomée · SIAM Journal on Numerical Analysis · 1979 · 156 citations

Natural Sciences, Property Law, Cost-utility Analysis +12

Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations

James H. Bramble, A. H. Schatz, Vidar Thomée et al. · SIAM Journal on Numerical Analysis · 1977 · 149 citations

Computing, Computational Engineering, Finite Element Analysis +16