Mixed finite elements for the Richards' equation: linearization procedure
By Iuliu Sorin Pop, Florin Adrian Radu, Peter Knabner. 2004
191 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/60f0ab8bf297d1d898355fc89bfab34d76e2cd8b
How researchers see this paper
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In Computational Mechanics
- Kundan Kumar
- Fred L. Ogden
- Jan Martin Nordbotten
- Matthew W. Farthing
- Florin Adrian Radu
- Mary F. Wheeler
- Iuliu Sorin Pop
- Florian List
In Electrical and Electronic Engineering
- Fred L. Ogden
- Florian List
- Matthew W. Farthing
- Florin Adrian Radu
- Kundan Kumar
- Iuliu Sorin Pop
- Mary F. Wheeler
- Jan Martin Nordbotten
In Mechanics of Materials
- Mary F. Wheeler
- Florian List
- Fred L. Ogden
- Matthew W. Farthing
- Florin Adrian Radu
- Kundan Kumar
- Iuliu Sorin Pop
- Jan Martin Nordbotten
Citations in the corpus
- A class of pseudo‐parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler‐implicit discretization (2011, unknown): “[8], [24]): (5.”
- Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium (2016, background): “More recently, Mikelić and Wheeler [23] have considered different iterative schemes for flow and mechanics couplings and established contractive results in suitable norms; see also [18, 19] for studying the Von Neumann stability of iterative algorithms (see also [27, 28] for relationship of these it”
- A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities (2018, methodology): “In this sense we mention [51, 40, 29, 45] for the fast diffusion case, or [55] for the slow diffusion case, but in connection with a regularization step.”
- A study on iterative methods for solving Richards’ equation (2015, methodology): “[25]), the condition for convergence of the L−scheme (7) simply becomes”
- Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, methodology): “To achieve comparable robustness, non-trivial modifications like low-order quadrature and mass lumping (Forsyth and Kropinski, 1997; Arbogast et al., 1998; Woodward and Dawson, 2000; Farthing et al., 2003b; Pop et al., 2004; Belfort et al., 2009; Younes et al., 2013) have often been required along w”