Mixed finite element methods for generalized Forchheimer flow in porous media

• Published in: Numerical methods for partial differential equations Vol. 21; no. 2; pp. 213 - 228
• Main Author: Park, Eun-Jae
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2005
• Subjects: error estimates; Forchheimer's law; mixed methods; non-Darcy flow

Mixed finite element methods are analyzed for the approximation of the solution of the system of equations that describes the flow of a single‐phase fluid in a porous medium in ℝd, d ≤ 3, subject to Forchhheimer's law—a nonlinear form of Darcy's law. Existence and uniqueness of the approxi...