Výsledky vyhledávání - "Edward J. Dean"

On the numerical simulation of Bingham visco-plastic flow: Old and new results

Autor: Roland Glowinski, Edward J. Dean, Giovanna Guidoboni

Publikováno v: Journal of Non-Newtonian Fluid Mechanics. 142:36-62

The main goal of this article is to review various results and methods concerning the numerical simulation of Bingham visco-plastic flow; these results have been obtained from the early 1970s to now. We consider first the case of flow in cylindrical

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3171279e38233a1636431c768407cc1c
https://doi.org/10.1016/j.jnnfm.2006.09.002

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On the numerical solution of a two-dimensional Pucci's equation with Dirichlet boundary conditions: a least-squares approach

Autor: Roland Glowinski, Edward J. Dean

Publikováno v: Comptes Rendus Mathematique. 341:375-380

In this Note we discuss the numerical solution of a two-dimensional, fully nonlinear elliptic equation of the Pucci's type, completed by Dirichlet boundary conditions. The solution method relies on a least-squares formulation taking place in a subset

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5866ffe131cd7ecb1eab6e2d441c7f33
https://doi.org/10.1016/j.crma.2005.08.002

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Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: a least-squares approach

Autor: Edward J. Dean, Roland Glowinski

Publikováno v: Comptes Rendus Mathematique. 339:887-892

We addressed, in a previous note [C. R. Acad. Sci. Paris, Ser. I 336 (2003) 779–784], the numerical solution of the Dirichlet problem for the two-dimensional elliptic Monge–Ampere equation, namely: det D 2 ψ = f in Ω, ψ = g on ∂Ω ( Ω ⊂ R

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::30cb27d39c4ffc5e2b3a0770a6409077
https://doi.org/10.1016/j.crma.2004.09.018

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Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: an augmented Lagrangian approach

Autor: Edward J. Dean, Roland Glowinski

Publikováno v: Comptes Rendus Mathematique. 336:779-784

The main goal of this Note is to discuss a method for the numerical solution of the two-dimensional elliptic Monge–Ampere equation with Dirichlet boundary conditions (the E-MAD problem). This method relies on the reformulation of E-MAD as a problem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::318ad9088e05b1f3c99642faed818f2d
https://doi.org/10.1016/s1631-073x(03)00149-3

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An operator splitting approach to multilevel methods

Autor: Roland Glowinski, Jacques-Louis Lions, Edward J. Dean

Publikováno v: Applied Mathematics Letters. 15:505-511

In this article, we show that multigrid-like algorithms can be obtained by combining space decomposition with time discretization by operator splitting.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::178b7a6fb849e55328b7e098874cd1d9
https://doi.org/10.1016/s0893-9659(01)00165-3

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A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow

Autor: Roland Glowinski, Edward J. Dean

Publikováno v: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 325:783-791

In this Note we describe a novel method for the solution of the Navier-Stokes equations for incompressible viscous fluids. This method, which can be viewed as an alternative to the methods of characteristics, takes advantage of a time discretization

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e01256f70c783198413cb6985d601f35
https://doi.org/10.1016/s0764-4442(97)80060-2

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An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation

Autor: Roland Glowinski, D. A. Trevas, Edward J. Dean

Publikováno v: Japan Journal of Industrial and Applied Mathematics. 13:495-517

We discuss in this article the numerical solution of the Cahn-Hilliard equation modelling the spinodal decomposition of binary alloys. The numerical methodology combines a second-order finite difference time discretization with a mixed finite element

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5c5c9b140d8a3363ab3162a6cc1a3eb8
https://doi.org/10.1007/bf03167260

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