{"title":"Finite element approximation of mass transfer in a porous medium with non equilibrium phase change","authors":"E. Maisse, J. Pousin","doi":"10.1515/1569395041931464","DOIUrl":null,"url":null,"abstract":"A finite element approximations with an implicit Euler scheme is analyzed. This involves numerical integration of a semi-linear parabolic-differential inclusion arising in a model of reactive mass transport in porous media with a dissolution/precipitation process. The model is composed of parabolic equations and variational inequalities. Equations are coupled by non-linear terms. We prove the existence of solutions for the approximated problem and the convergence of the scheme towards the solution of the continuous Problem","PeriodicalId":342521,"journal":{"name":"J. Num. Math.","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Num. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/1569395041931464","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
A finite element approximations with an implicit Euler scheme is analyzed. This involves numerical integration of a semi-linear parabolic-differential inclusion arising in a model of reactive mass transport in porous media with a dissolution/precipitation process. The model is composed of parabolic equations and variational inequalities. Equations are coupled by non-linear terms. We prove the existence of solutions for the approximated problem and the convergence of the scheme towards the solution of the continuous Problem