{"volume":54,"publist_id":"5954","date_updated":"2021-01-12T06:49:49Z","type":"journal_article","extern":1,"intvolume":"        54","doi":"10.1137/15M1035379","author":[{"full_name":"Brunner, Fabian","first_name":"Fabian","last_name":"Brunner"},{"id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","last_name":"Fischer","orcid":"0000-0002-0479-558X","full_name":"Julian Fischer","first_name":"Julian L"},{"first_name":"Peter","full_name":"Knabner, Peter","last_name":"Knabner"}],"_id":"1315","title":"Analysis of a modified second-order mixed hybrid BDM1 finite element method for transport problems in divergence form","quality_controlled":0,"issue":"4","publication":"SIAM Journal on Numerical Analysis","publication_status":"published","abstract":[{"lang":"eng","text":"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."}],"citation":{"ama":"Brunner F, Fischer JL, Knabner P. Analysis of a modified second-order mixed hybrid BDM1 finite element method for transport problems in divergence form. <i>SIAM Journal on Numerical Analysis</i>. 2016;54(4):2359-2378. doi:<a href=\"https://doi.org/10.1137/15M1035379\">10.1137/15M1035379</a>","mla":"Brunner, Fabian, et al. “Analysis of a Modified Second-Order Mixed Hybrid BDM1 Finite Element Method for Transport Problems in Divergence Form.” <i>SIAM Journal on Numerical Analysis</i>, vol. 54, no. 4, Society for Industrial and Applied Mathematics , 2016, pp. 2359–78, doi:<a href=\"https://doi.org/10.1137/15M1035379\">10.1137/15M1035379</a>.","short":"F. Brunner, J.L. Fischer, P. Knabner, SIAM Journal on Numerical Analysis 54 (2016) 2359–2378.","ieee":"F. Brunner, J. L. Fischer, and P. Knabner, “Analysis of a modified second-order mixed hybrid BDM1 finite element method for transport problems in divergence form,” <i>SIAM Journal on Numerical Analysis</i>, vol. 54, no. 4. Society for Industrial and Applied Mathematics , pp. 2359–2378, 2016.","chicago":"Brunner, Fabian, Julian L Fischer, and Peter Knabner. “Analysis of a Modified Second-Order Mixed Hybrid BDM1 Finite Element Method for Transport Problems in Divergence Form.” <i>SIAM Journal on Numerical Analysis</i>. Society for Industrial and Applied Mathematics , 2016. <a href=\"https://doi.org/10.1137/15M1035379\">https://doi.org/10.1137/15M1035379</a>.","ista":"Brunner F, Fischer JL, Knabner P. 2016. Analysis of a modified second-order mixed hybrid BDM1 finite element method for transport problems in divergence form. SIAM Journal on Numerical Analysis. 54(4), 2359–2378.","apa":"Brunner, F., Fischer, J. L., &#38; Knabner, P. (2016). Analysis of a modified second-order mixed hybrid BDM1 finite element method for transport problems in divergence form. <i>SIAM Journal on Numerical Analysis</i>. Society for Industrial and Applied Mathematics . <a href=\"https://doi.org/10.1137/15M1035379\">https://doi.org/10.1137/15M1035379</a>"},"date_created":"2018-12-11T11:51:19Z","month":"01","page":"2359 - 2378","status":"public","publisher":"Society for Industrial and Applied Mathematics ","year":"2016","day":"01","date_published":"2016-01-01T00:00:00Z"}