Free Boundary Problems with Nonlinear Source Terms.
Gunter H. Meyer (1984)
Numerische Mathematik
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Gunter H. Meyer (1984)
Numerische Mathematik
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David Jerison (1990)
Colloquium Mathematicae
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Weihua Geng (2015)
Molecular Based Mathematical Biology
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Numerically solving the Poisson-Boltzmann equation is a challenging task due to the existence of the dielectric interface, singular partial charges representing the biomolecule, discontinuity of the electrostatic field, infinite simulation domains, etc. Boundary integral formulation of the Poisson-Boltzmann equation can circumvent these numerical challenges and meanwhile conveniently use the fast numerical algorithms and the latest high performance computers to achieve combined improvement...
Fréderique Charles, Nicolas Vauchelet, Christophe Besse, Thierry Goudon, Ingrid Lacroix–Violet, Jean-Paul Dudon, Laurent Navoret (2011)
ESAIM: Proceedings
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In this work, we consider the computation of the boundary conditions for the linearized Euler–Poisson derived from the BGK kinetic model in the small mean free path regime. Boundary layers are generated from the fact that the incoming kinetic flux might be far from the thermodynamical equilibrium. In [2], the authors propose a method to compute numerically the boundary conditions in the hydrodynamic limit relying on an analysis of the...
A. Louis (1979)
Numerische Mathematik
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D. Braess (1981)
Numerische Mathematik
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P. Neittaanmäki, J. Saranen (1981)
Numerische Mathematik
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Shahgholian, H. (2004)
Zapiski Nauchnykh Seminarov POMI
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David Gérard-Varet, Daniel Han-Kwan, Frédéric Rousset (2014)
Journal de l’École polytechnique — Mathématiques
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In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.
D.M. Fage (1982)
Numerische Mathematik
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Vadim A. Kaimanovich (1994)
Publications mathématiques et informatique de Rennes
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