New optimization approach to multiphase flow.

DOI10.1023/A:1012689626027zbMath1043.76035OpenAlexW2077131643MaRDI QIDQ5956965

Anthony José Kearsley, Lawrence C. Cowsar, Roland Glowinski, Ivan Yotov, Mary Fanett Wheeler

Publication date: 26 February 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012689626027

zbMATH Keywords

mixed methodscell-centered finite differencequasi-Newton secant method

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10) Three or more component flows (76T30)

Uses Software

• NL2SOL

Cites Work

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• Algorithm 611: Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach
• An Adaptive Nonlinear Least-Squares Algorithm
• Computing Optimal Locally Constrained Steps
• Mixed and Hybrid Finite Element Methods
• A computationally efficient modification of mixed finite element methods for flow problems with full transmissivity tensors
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
• A Family of Variable-Metric Methods Derived by Variational Means
• A new approach to variable metric algorithms
• The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
• Conditioning of Quasi-Newton Methods for Function Minimization

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