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On high-order conservative finite element methods

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Autor(es):
Abreu, Eduardo ; Diaz, Ciro ; Galvis, Juan ; Sarkis, Marcus
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: COMPUTERS & MATHEMATICS WITH APPLICATIONS; v. 75, n. 6, p. 16-pg., 2018-03-15.
Resumo

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)

Processo FAPESP: 16/23374-1 - Leis de conservação, leis de equilíbrio e EDPs relacionadas com fluxos descontínuos e não-locais em ciências aplicadas: análise numérica, teoria e aplicações
Beneficiário:Eduardo Cardoso de Abreu
Modalidade de apoio: Auxílio à Pesquisa - Regular