A discrete maximum principle for collocation methods

Maximum principle and uniform convergence for the finite element method

Philippe G. Ciarlet, Pierre-Arnaud Raviart · Computer Methods in Applied Mechanics and Engineering · 1973 · 507 citations

Computing, Computational Engineering, Computational Mechanics +12

Discrete maximum principle for finite-difference operators

Philippe G. Ciarlet · Aequationes Mathematicae · 1970 · 181 citations

Computing, Computational Engineering, Mathematics +14

Discrete maximum principle for finite-difference operators

Philippe G. Ciarlet · Aequationes Mathematicae · 1970 · 178 citations

Computing, Computational Engineering, Mathematics +14

On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type

James H. Bramble, B. E. Hubbard · Journal of Mathematics and Physics · 1964 · 110 citations

Computing, Computational Engineering, Finite Element Methods +12

New monotone type approximations for elliptic problems

James H. Bramble, B. E. Hubbard · Mathematics of Computation · 1964 · 83 citations

Computing, Computer Science, Mathematics +11