A time discretization for mixed approximation for generalized Forchheimer flow in porous media

Eun Jae Park; Mi Young Kim

A time discretization for mixed approximation for generalized Forchheimer flow in porous media

Eun Jae Park, Mi Young Kim

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 IR^d, 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.

Original language	English
Pages (from-to)	493-494
Number of pages	2
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	76
Issue number	SUPPL. 1
Publication status	Published - 1996

All Science Journal Classification (ASJC) codes

Computational Mechanics
Applied Mathematics

Cite this

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AB - 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.

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A time discretization for mixed approximation for generalized Forchheimer flow in porous media

Abstract

All Science Journal Classification (ASJC) codes

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