Rim Al Dbaissy, Toni Sayah, "Iterative Scheme for the Darcy-Forchheimer Problem with Pressure Boundary Condition," WSEAS Transactions on Heat and Mass Transfer, vol. 19, pp. 94-106, 2024, DOI:10.37394/232012.2024.19.11
Rim Al Dbaissy, Toni Sayah. Iterative Scheme for the Darcy-Forchheimer Problem with Pressure Boundary Condition.
WSEAS Transactions on Heat and Mass Transfer. 2024;19:94-106. 10.37394/232012.2024.19.11
WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 19, 2024
Iterative Scheme for the Darcy-Forchheimer Problem with Pressure Boundary Condition
Authors: ,
Abstract: This paper addresses the Darcy-Forchheimer problem with pressure boundary conditions. We employ
finite element methods to discretize the system and introduce an iterative scheme to solve the resulting nonlinear
discrete problem. The well-posedness and convergence of this iterative approach are then demonstrated. Finally,
we present several numerical experiments to validate the proposed numerical schemes.
Keywords:
Darcy-Forchheimer problem, Finite element method, Iterative scheme, a priori error estimate
Pages: 94-106 WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 19, 2024, Art. #11 DOI: 10.37394/232012.2024.19.11
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