{"title":"ITERATIVE QUASI-NEWTON SOLVERS FOR POROMECHANICS APPLIED TO HEART PERFUSION","authors":"J. Both, Nicolas A. Barnafi","doi":"10.4995/yic2021.2021.12324","DOIUrl":null,"url":null,"abstract":"Sequential block-partitioned solvers have in the recent past been quite popular for multi-physics and in particular poroelasticity models. Such enable tailored solver technology for the respective single-physics problems via iterative coupling, as well as suggest suitable block-preconditioners for monolithic solvers.In this talk, we focus on a thermodynamically consistent poroelasticity model recently proposed. It extends the classical quasi-static Biot equations by incoporating inertia contributions in both solid and fluid equations, aiming at biomedical applications; for instance, the perfusion of the heart.Following ideas and techniques from previous works, we present block-partitioned solvers for the fully dynamic poroelasticity model supported by theoretical convergence analysis.","PeriodicalId":406819,"journal":{"name":"Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference","volume":"89 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4995/yic2021.2021.12324","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Sequential block-partitioned solvers have in the recent past been quite popular for multi-physics and in particular poroelasticity models. Such enable tailored solver technology for the respective single-physics problems via iterative coupling, as well as suggest suitable block-preconditioners for monolithic solvers.In this talk, we focus on a thermodynamically consistent poroelasticity model recently proposed. It extends the classical quasi-static Biot equations by incoporating inertia contributions in both solid and fluid equations, aiming at biomedical applications; for instance, the perfusion of the heart.Following ideas and techniques from previous works, we present block-partitioned solvers for the fully dynamic poroelasticity model supported by theoretical convergence analysis.
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