Variational multiscale modeling with discontinuous subscales: analysis and application to scalar transport-Reference-Cited by-同舟云学术

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Variational multiscale modeling with discontinuous subscales: analysis and application to scalar transport

Published:2017-11-08 Issue:6 Volume:53 Page:1241-1269
ISSN:0025-6455
Container-title:Meccanica
language:en
Short-container-title:Meccanica

Author:

Coley Christopher,Evans John A.^ORCID

Funder

Air Force Office of Scientific Research

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://link.springer.com/article/10.1007/s11012-017-0786-y/fulltext.html

Reference57 articles.

1. Arnold DN (1982) An interior penalty finite element method with discontinuous elements. SIAM J Numer Anal 19:742–760

2. Arnold DN, Brezzi F, Cockburn B, Marini LD (2002) Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J Numer Anal 39:1749–1779

3. Ayuso B, Marini LD (2009) Discontinuous Galerkin methods for advection–diffusion–reaction problems. SIAM J Numer Anal 47:1391–1420

4. Bazilevs Y, Hughes TJR (2007) Weak imposition of Dirichlet boundary conditions in fluid mechanics. Comput Fluids 36:12–26

5. Bazilevs Y, da Veiga LB, Cottrell JA, Hughes TJR, Sangalli G (2006) Isogeometric analysis: approximation, stability and error estimates for $$h$$-refined meshes. Math Models Methods Appl Sci 16:1031–1090

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