info:eu-repo/semantics/article
Approximations by mini mixed finite element for the Stokes-Darcy coupled problem on curved domains
Fecha
2021-03Registro en:
Armentano, Maria Gabriela; Stockdale, María Lorena; Approximations by mini mixed finite element for the Stokes-Darcy coupled problem on curved domains; Isci-inst Scientific Computing & Information; International Journal Of Numerical Analysis And Modeling; 18; 2; 3-2021; 203-234
1705-5105
2617-8710
CONICET Digital
CONICET
Autor
Armentano, Maria Gabriela
Stockdale, María Lorena
Resumen
In this work we solve a Stokes-Darcy coupled problem in a plane curved domain using curved elements. We approximate the velocity-pressure pair by applying the MINI-element method, for the whole coupled problem. We show that, under appropriate assumptions about the curved domain, the proposed method has optimal accuracy, with respect to solution regularity, and has a simple implementation. We also present numerical tests which show the good performance of the proposed method.