High-order gradients with the shifted boundary method: An embedded enriched mixed formulation for elliptic PDEs-Reference-Cited by-同舟云学术

High-order gradients with the shifted boundary method: An embedded enriched mixed formulation for elliptic PDEs

Published:2019-12 Issue: Volume:398 Page:108898
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Nouveau L.,Ricchiuto M.,Scovazzi G.^ORCID

Funder

Army Research Office

Exxon Mobil Corporation

U.S. Department of Energy

Institut national de recherche en informatique et en automatique

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference50 articles.

1. High order methods for CFD;Abgrall,2017

2. High order fluctuation schemes on triangular meshes;Abgrall;J. Sci. Comput.,2003

3. Unified analysis of discontinuous Galerkin methods for elliptic problems;Arnold;SIAM J. Numer. Anal.,2002

4. An interior penalty finite element method with discontinuous elements;Arnold;SIAM J. Numer. Anal.,1982

5. Stabilized continuous and discontinuous Galerkin techniques for Darcy flow;Badia;Comput. Methods Appl. Mech. Eng.,2010

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