Fully discrete mixed finite element methods are presented 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 IRd, d ≤ 3, subject to Forchheimer's law - a nonlinear form of Darcy's law. Optimal order error estimates in L2 are given for the three relevant functions. Newton's method can be used to solve the resulting nonlinear algebraic systems.
|Number of pages||2|
|Journal||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|Issue number||SUPPL. 1|
|Publication status||Published - 1996|
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Applied Mathematics