Finite element methods for incompressible viscous flow

By Roland Glowinski. 2003

502 citations recorded by the source corpus.

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In Computational Mechanics

Citations in the corpus

A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations (2011, methodology): “Spatial discretization of the Stokes or Oseen problem using LBB-stable finite elements (cf. [18] [19]) results in large, sparse linear systems in saddle point form: A B T −B 0 u p = f −g , or Ax = b, (8) where now u and p represent the discrete velocity and pressure, respectively, A is the…”
Spectral and High-Order Methods with Applications (2006, methodology): “We refer to the books[162, 89, 40, 56] for more details on the approximation of Navier-Stokes equations by finite elements, spectral and spectral element methods.”
ADI Schemes for Pricing American Options under the Heston Model (2013, methodology): “The IT splitting approach has been inspired by similar techniques in computational fluid dynamics [10].”
DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition (2009, methodology): “Most algorithms for solving numerically the discrete Navier–Stokes equations (see, for instance, [23]) can be applied to solve the nonlinear scheme (5.”
Neurobiology of Aging: Contents (2005, unknown): “They also arise as subproblems in the numerical solution of the Navier–Stokes equations by operator splitting methods (Glowinski 2003, Quarteroni and Valli 1994) and as the first step of Picard’s iteration when the initial guess used is u(0) = 0.”
Migration of a sphere in tube flow (2005, methodology): “Detailed descriptions of the DLM method can be found in Glowinski, Pan & Periaux (1998), Glowinski et al. (1999a, b, 2001), Singh et al. (2000) and Glowinski (2003).”
COMPONENTWISE SPLITTING METHODS FOR PRICING AMERICAN OPTIONS UNDER STOCHASTIC VOLATILITY (2007, methodology): “This is particularly popular approach to enforce the incompressibility constraint in fluid dynamics; see [14] and references therein.”
A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two (2013, background): “18) is a delicate issue which has been briefly discussed in [30], Chapter 3 (see also the references therein).”