On high-order conservative finite element methods

被引：4
|
作者：
Abreu, Eduardo [1 ]
Diaz, Ciro [1 ]
Galvis, Juan [2 ]
Sarkis, Marcus [3 ]
机构：
[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
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 06期
基金：
美国国家科学基金会; 巴西圣保罗研究基金会;
关键词：
Conservative high-order FEM; Darcy flow; Porous media; High contrast heterogeneity; Elliptic-Poisson problem; 2-PHASE FLOW; POROUS-MEDIA;
D O I：
10.1016/j.camwa.2017.10.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1852 / 1867
页数：16
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