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NHM
2010
141views more  NHM 2010»
12 years 11 months ago
Remarks on discretizations of convection terms in Hybrid mimetic mixed methods
We present different ways, coming from Finite Volume or Mixed Finite Element frameworks, to discretize convection terms in Hybrid Finite Volume, Mimetic Finite Difference and Mixed...
Jérôme Droniou
NHM
2010
73views more  NHM 2010»
12 years 11 months ago
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and la
Abstract. This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advectiondiffusion problems with rapidly...
Patrick Henning, Mario Ohlberger
NHM
2010
71views more  NHM 2010»
12 years 11 months ago
Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semilinear par...
Jérôme Coville, Nicolas Dirr, Stephan...
NHM
2010
79views more  NHM 2010»
12 years 11 months ago
Small solids in an inviscid fluid
We present in this paper several results concerning a simple model of interaction between an inviscid fluid, modeled by the Burgers equation, and a particle, assumed to be point-wi...
Boris Andreianov, Frédéric Lagouti&e...
NHM
2010
83views more  NHM 2010»
12 years 11 months ago
Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
We introduce nonoverlapping domain decomposition algorithms of Schwarz waveform relaxation type for the semilinear reaction-diffusion equation. We define linear Robin and second or...
Filipa Caetano, Martin J. Gander, Laurence Halpern...