---
res:
bibo_abstract:
- We prove optimal second order convergence of a modified lowest-order Brezzi-Douglas-Marini
(BDM1) mixed finite element scheme for advection-diffusion problems in divergence
form. If advection is present, it is known that the total flux is approximated
only with first-order accuracy by the classical BDM1 mixed method, which is suboptimal
since the same order of convergence is obtained if the computationally less expensive
Raviart-Thomas (RT0) element is used. The modification that was first proposed
by Brunner et al. [Adv. Water Res., 35 (2012),pp. 163-171] is based on the hybrid
problem formulation and consists in using the Lagrange multipliers for the discretization
of the advective term instead of the cellwise constant approximation of the scalar
unknown.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Fabian
foaf_name: Brunner, Fabian
foaf_surname: Brunner
- foaf_Person:
foaf_givenName: Julian L
foaf_name: Julian Fischer
foaf_surname: Fischer
foaf_workInfoHomepage: http://www.librecat.org/personId=2C12A0B0-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-0479-558X
- foaf_Person:
foaf_givenName: Peter
foaf_name: Knabner, Peter
foaf_surname: Knabner
bibo_doi: 10.1137/15M1035379
bibo_issue: '4'
bibo_volume: 54
dct_date: 2016^xs_gYear
dct_publisher: Society for Industrial and Applied Mathematics @
dct_title: Analysis of a modified second-order mixed hybrid BDM1 finite element
method for transport problems in divergence form@
...