Univ Nacl Colombia, Dept Matemat, Bogota, DC - Colombia
 Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 - USA
Total Affiliations: 3
COMPUTERS & MATHEMATICS WITH APPLICATIONS;
n. 6, SI,
MAR 15 2018.
Web of Science Citations:
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)