Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

A. Brooks, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1982 · 5.3K citations

Numerical Analysis, Streamline Upwind/petrov-galerkin Formulations, Unsteady Flow +13

The immersed boundary method

Charles S. Peskin · Acta Numerica · 2002 · 4.4K citations · Full text

Numerical Analysis, Engineering, Fluid Mechanics +17

A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations

Thomas J.R. Hughes, Leopoldo P. Franca, Marc Balestra · Computer Methods in Applied Mechanics and Engineering · 1986 · 1.4K citations

Numerical Analysis, Finite Element Method, Engineering +11

The extended/generalized finite element method: An overview of the method and its applications

Thomas‐Peter Fries, Ted Belytschko · International Journal for Numerical Methods in Engineering · 2010 · 1.4K citations

Numerical Analysis, Engineering, Fracture Optimization +20

A distributed Lagrange multiplier/fictitious domain method for particulate flows

Roland Glowinski, Tsorng‐Whay Pan, Todd I. Hesla et al. · International Journal of Multiphase Flow · 1999 · 1K citations

Numerical Analysis, Particulate Flows, Engineering +5