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Lagrangian non-oscillatory and FEM schemes for the porous media equation

  • Published:1988 Issue:6-8 Volume:15 Page:611-617
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Socolovsky E.A.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference26 articles.

1. The Cauchy problem and boundary value problems for equations of the type of non-stationary filtration;Oleinik;Izv. Akad. Nauk. SSR Ser. Mat.,1958

2. On the occurrence of singularities in the solutions of the equation of nonstationary filtration;Kalishnikov;Vychisl. Mat. Mat. Fis.,1967

3. Regularity properties of flows through porous media;Aronson;SIAM Jl Appl. Math.,1969

4. Regularity properties of flows through porous media: the interface;Aronson;Archs rational Mech. Analysis,1970

5. The porous medium equation in one-dimension;Knerr;Trans. Am. math. Soc.,1977

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1. On Lagrangian schemes for porous medium type generalized diffusion equations: A discrete energetic variational approach;Journal of Computational Physics;2020-09

2. Bibliography;Evolution Equations and Lagrangian Coordinates;1997-01-31

3. The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates;Nonlinear Differential Equations and Applications NoDEA;1996-12

4. On the interfaces in a nonlocal quasilinear degenerate equation arising in population dynamics;Japan Journal of Industrial and Applied Mathematics;1996-10

5. On the numerical approximation of finite speed diffusion problems;Numerische Mathematik;1988-01
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