Mixed finite element methods and higher order temporal approximations for variably saturated groundwater flow

By Matthew W. Farthing, C. Kees, Cass T. Miller. 2003

69 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a778f9161c7c6c87cad619ebf77aabfa8039e364

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1. Frederick Delay
2. Philippe Ackerer
3. Anis Younes
4. Fred L. Ogden
5. François Lehmann
6. Benjamin Belfort

Citations in the corpus

• Comparison of Equivalent Conductivities for Numerical Simulation of One‐Dimensional Unsaturated Flow (2005, methodology): “Additionally, a quadrature rule can be used with the MHFE method (Chounet et al., 1999 ; Farthing et al., 2003) to estimate the matrix [A]ei by taking advantage of the mass-lumping procedure introduced by Neuman (1972) for the FE method.”
• Mixed finite elements for solving 2‐D diffusion‐type equations (2010, background): “…and Graham, 1999] and transient [Chavent and Roberts, 1991; Ackerer et al., 1999; Younes et al., 1999a] single‐phase flow, flow in unsaturated media [Farthing et al., 2003], multiphase flow [Chen and Ewing, 1997; Dawson et al., 1998; Bergamaschi and Putti, 1999; Huber and Helmig, 1999; Nayagum et…”
• Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, methodology): “Notable exceptions include the approaches in (Tocci et al., 1997; Farthing et al., 2003b) based on higher order Backward Difference Formulas (BDFs) and the second-order TaylorGladwell scheme introduced in (Kavetski et al.”