The discrete variational derivative method based on discrete differential forms

Finite element exterior calculus, homological techniques, and applications

Douglas N. Arnold, Richard S. Falk, Ragnar Winther · Acta Numerica · 2006 · 1K citations · Full text

Engineering, Mathematics, Computational Mechanics +13

Geometric integration using discrete gradients

Robert I. McLachlan, G. Quispel, Nicolas Robidoux · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 1999 · 532 citations

Natural Sciences, Mathematics, Physics +17

Discrete exterior calculus

Jerrold E. Marsden, Anil N. Hirani · arXiv (Cornell University) · 2003 · 497 citations · Full text

Natural Sciences, Computer Science, Mathematics +15

A new class of energy-preserving numerical integration methods

G. Quispel, David McLaren · Journal of Physics A Mathematical and Theoretical · 2008 · 446 citations

Natural Sciences, Mathematics, Physics +11

Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

Franco Brezzi, Konstantin Lipnikov, Mikhail Shashkov · SIAM Journal on Numerical Analysis · 2005 · 362 citations

Computing, Computational Engineering, Computational Fluid Dynamics +15