Influence of multiscale roughness patterns in cavitated flows: Applications to journal bearings.
Martin, Sébastien (2008)
Mathematical Problems in Engineering
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Martin, Sébastien (2008)
Mathematical Problems in Engineering
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Couder-Castañeda, Carlos (2009)
Journal of Applied Mathematics
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Saldia, J.P., Cimino, A., Schulz, W., Elaskar, S., Costa, A. (2009)
Mathematical Problems in Engineering
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Kim, Dongjin, Proskurowski, Wlodek (2004)
International Journal of Mathematics and Mathematical Sciences
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Denis Constales, Jozef Kačur (2001)
Mathematica Bohemica
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In this paper we discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE...
Abigail Wacher (2013)
Open Mathematics
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We compare numerical experiments from the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method, applied to three benchmark problems based on two different partial differential equations. Both methods are described in detail and we highlight some strengths and weaknesses of each method via the numerical comparisons. The two equations used in the benchmark problems are the viscous Burgers’ equation and the porous medium...
Yves Bourgault, Marc Ethier, Victor G. LeBlanc (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.
Michael Breuß (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We are concerned with the structure of the operator corresponding to the Lax–Friedrichs method. At first, the phenomenae which may arise by the naive use of the Lax–Friedrichs scheme are analyzed. In particular, it turns out that the correct definition of the method has to include the details of the discretization of the initial condition and the computational domain. Based on the results of the discussion, we give a recipe that ensures that the number of extrema within the discretized...
Sanfelici, Simona (2002)
Journal of Theoretical Medicine
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