On high-order conservative finite element methods

Autor: Abreu, Eduardo, Diaz, Ciro, Galvis, Juan, Sarkis, Marcus
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: A new high-order conservative finite element method for Darcy flow is presented. The key ingredient in the formulation is a volumetric, residual-based, based on Lagrange multipliers in order to impose conservation of mass that does not involve any mesh dependent parameters. We obtain a method with high-order convergence properties with locally conservative fluxes. Furthermore, our approach can be straightforwardly extended to three dimensions. It is also applicable to highly heterogeneous problems where high-order approximation is preferred.
Databáze: arXiv