Numerical solution of reservoir flow models based on large time step operator splitting algorithms

By M. Espedal, Kenneth Hvistendahl Karlsen. 2000

112 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/6331fc12d982e43546e8ba32f97ccbcc485afa4d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Nils Henrik Risebro
2. Raimund Bürger
3. Kenneth Hvistendahl Karlsen
4. Mario Ohlberger
5. Gui-Qiang G. Chen
6. Gianluigi Rozza
7. Bernard Haasdonk
8. Anthony T. Patera

In Computational Theory and Mathematics

1. Kenneth Hvistendahl Karlsen
2. Gui-Qiang G. Chen
3. Mario Ohlberger
4. Raimund Bürger
5. Nils Henrik Risebro
6. J. Damasceno
7. Qian Ding
8. Yachun Li

Citations in the corpus

• ON A NONLINEAR DEGENERATE PARABOLIC TRANSPORT-DIFFUSION EQUATION WITH A DISCONTINUOUS COEFFICIENT (2002, methodology): “Here we derive instead strong convergence via a series of a priori (energy) estimates that allow us to deduce convergence of the diffusion function and use the compensated compactness method to deal with the transport term.”
• QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONS WITH TIME-SPACE DEPENDENT DIFFUSION COEFFICIENTS (2005, background): “Quasilinear parabolic problems containing the combined effects of nonlinear convection, degenerate diffusion, and nonlinear reaction occur in a broad spectrum of applications, including flow in porous media (see the discussion and references in [19]) and sedimentation-consolidation processes [9].”
• A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations (2002, methodology): “A typi al feature of all the works [6, 20, 2, 14, 3, 17℄ that employ the \doubling devi e" toprove uniqueness results for degenerate paraboli equations seems to be that the se ond orderdi erential operator is not allowed to depend expli itly on spatial variable x (i.e., K = I), whi h ertainly…”
• On some upwind difference schemes for the phenomenological sedimentation-consolidation model (2001, methodology): “For a general introduction to operator splitting methods and a long list of relevant papers, we refer to the lecture notes [18].”
• A mathematical model for batch and continuous thickening of flocculated suspensions in vessels with varying cross-section (2004, background): “and Holden et al. (2001), the finite difference schemes by Evje and Karlsen (1999a,2000), the fi nite volume schemes in Ohlberger (2001) and Eymard et al.”