A stabilized mixed discontinuous Galerkin method for Darcy flow

The finite element method. Linear static and dynamic finite element analysis

Thomas Zimmermann · Computer Methods in Applied Mechanics and Engineering · 1987 · 5.1K citations

Engineering, Computational Engineering, Mechanical Engineering +12

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn et al. · SIAM Journal on Numerical Analysis · 2002 · 3.2K citations

Computing, Computational Engineering, Computational Mechanics +11

Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1995 · 1.8K citations · Full text

Natural Sciences, Physics, Computational Physics +13

An Interior Penalty Finite Element Method with Discontinuous Elements

Douglas N. Arnold · SIAM Journal on Numerical Analysis · 1982 · 1.5K citations

Computing, Computational Engineering, Computational Mechanics +13

Lectures on Elliptic Boundary Value Problems.

A. Friedman, Shmuel Agmon · American Mathematical Monthly · 1966 · 998 citations

Natural Sciences, Mathematics, Physics +12