{"title":"Residual-type a posteriori error estimates for the Darcy-Forchheimer problem","authors":"María González, Hiram Varela","doi":"10.1016/j.camwa.2026.01.040","DOIUrl":null,"url":null,"abstract":"<div><div>We consider a primal-mixed finite element method proposed for the Darcy-Forchheimer model in [1]. We derive a new a posteriori error estimate and prove its reliability. We also provide some numerical experiments that show its performance in practice.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"209 ","pages":"Pages 28-43"},"PeriodicalIF":2.7000,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Mathematics with Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0898122126000520","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/2/13 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We consider a primal-mixed finite element method proposed for the Darcy-Forchheimer model in [1]. We derive a new a posteriori error estimate and prove its reliability. We also provide some numerical experiments that show its performance in practice.
期刊介绍:
Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).