A reduced-order shifted boundary method for parametrized incompressible Navier–Stokes equations

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

Engineering, Computational Engineering, Aerodynamics +15

IMMERSED BOUNDARY METHODS

Rajat Mittal, Gianluca Iaccarino · Annual Review of Fluid Mechanics · 2005 · 3.4K citations

Computing, Computational Engineering, Fluid Dynamics +6

Flow patterns around heart valves: A numerical method

Charles S. Peskin · Journal of Computational Physics · 1972 · 2.9K citations

Engineering, Cardiology, Physiology +16

An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

Maxime Barrault, Yvon Maday, Ngoc Cuong Nguyen et al. · Comptes Rendus Mathématique · 2004 · 1.5K citations

Natural Sciences, Physics, Computational Mechanics +13

Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

Gianluigi Rozza, D.B.P. Huynh, A.T. Patera · Archives of Computational Methods in Engineering · 2008 · 1.1K citations · Full text

Computing, Computer Science, Mathematics +16