An error analysis of least-squares finite element method of velocity-pressure-vorticity formulation for stokes problem

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

Navier-Stokes equations

Acta Applicandae Mathematicae · 1992 · 3.1K citations

The finite element method with Lagrangian multipliers

Ivo Babuška · Numerische Mathematik · 1973 · 1.6K citations

Computing, Computational Engineering, Mechanical Engineering +12

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

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1964 · 1.3K citations

Natural Sciences, Mechanical Engineering, Differential Equations +11

A new finite element formulation for computational fluid dynamics: VII. The stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces

Thomas J.R. Hughes, Leopoldo P. Franca · Computer Methods in Applied Mechanics and Engineering · 1987 · 455 citations

Engineering, Mathematics, Mechanical Engineering +14