Premium
Approximation of the unsteady Brinkman‐Forchheimer equations by the pressure stabilization method
Author(s) -
Louaked Mohammed,
Seloula Nour,
Trabelsi Saber
Publication year - 2017
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22173
Subject(s) - discretization , mathematics , compressibility , partial differential equation , finite element method , work (physics) , partial derivative , space (punctuation) , approximation error , mathematical analysis , mechanics , computer science , physics , thermodynamics , operating system
In this work, we propose and analyze the pressure stabilization method for the unsteady incompressible Brinkman‐Forchheimer equations. We present a time discretization scheme which can be used with any consistent finite element space approximation. Second‐order error estimate is proven. Some numerical results are also given.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1949–1965, 2017