{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T01:58:46Z","timestamp":1767923926187,"version":"3.49.0"},"reference-count":70,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,3,26]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A decoupled finite element method with different time steps for the nonstationary Darcy--Brinkman problem is considered in this paper. Moreover, for the presented method, the stability analysis and error estimates are deduced. Finally, numerical tests are provided that demonstrate the efficiency of the method. It is found the presented method can save lots of computational time compared with standard coupled method.<\/jats:p>","DOI":"10.1515\/jnma-2018-0080","type":"journal-article","created":{"date-parts":[[2020,1,3]],"date-time":"2020-01-03T09:03:27Z","timestamp":1578042207000},"page":"33-62","source":"Crossref","is-referenced-by-count":7,"title":["A decoupled finite element method with diferent time steps for the nonstationary Darcy\u2013Brinkman problem"],"prefix":"10.1515","volume":"28","author":[{"given":"Cheng","family":"Liao","sequence":"first","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R. China"}]},{"given":"Pengzhan","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R. China"}]},{"given":"Yinnian","family":"He","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, P.R. China"}]}],"member":"374","reference":[{"key":"ref81","doi-asserted-by":"crossref","first-page":"3526","DOI":"10.1137\/080740891","article-title":"Partitioned time stepping for a parabolic two domain problem","volume":"47","year":"2009","journal-title":"SIAM. J. Numer. Anal."},{"key":"ref291","volume-title":"Navier\u2013Stokes Equations: Theory and Numerical Analysis","year":"1984"},{"key":"ref551","first-page":"707","article-title":"Decoupled schemes for a non-stationary mixed Stokes\u2013Darcy model","volume":"79","year":"2010","journal-title":"Math. Comp."},{"key":"ref461","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.amc.2016.12.012","article-title":"Multiphysics discontinuous Galerkin method for a poroelasticity model","volume":"301","year":"2017","journal-title":"Appl. Math. 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