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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On high-order conservative finite element methods

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Author(s):
Abreu, Eduardo [1] ; Diaz, Ciro [1] ; Galvis, Juan [2] ; Sarkis, Marcus [3]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, Dept Appl Math, BR-13083970 Campinas, SP - Brazil
[2] Univ Nacl Colombia, Dept Matemat, Bogota, DC - Colombia
[3] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 - USA
Total Affiliations: 3
Document type: Journal article
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS; v. 75, n. 6, SI, p. 1852-1867, MAR 15 2018.
Web of Science Citations: 2
Abstract

We describe and analyze a volumetric and residual-based Lagrange multipliers saddle point reformulation of the standard high-order finite method, to impose conservation of mass constraints for simulating the pressure equation on two dimensional convex polygons, with sufficiently smooth solution and mobility phase. We establish high-order a priori error estimates with locally conservative fluxes and numerical results are presented that confirm the theoretical results. (C) 2017 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 16/23374-1 - Conservation laws, balance laws and related PDEs with discontinuous and nonlocal fluxes in applied sciences: numerical analysis, theory and applications
Grantee:Eduardo Cardoso de Abreu
Support type: Regular Research Grants