Modélisation mathématique et simulation numérique des phénomènes dynamiques et thermiques apparaissant dans un glacier
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We develop a full numerical as well as an approximate analytic solution for two-step holographic recording with high intensity pulses in LiNbO3:Fe crystals. We find the unknown material parameters by fitting the numerical solution to the experimental resul ...
The computation of glacier movements leads to a system of nonlinear partial differential equations. The existence and uniqueness of a weak solution is established by using the calculus of variations. A discretization by the finite element method is done. T ...
The time correlation functions of the electronic spin components of a metal ion without orbital degeneracy in solution are computed. The approach is based on the numerical solution of the time-dependent Schrödinger equation for a stochastic perturbing Hami ...
We propose a numerical method for the solution of the Quasi3D hydrodynamic equations. This approach uses a combination of standard linear finite elements along the vertical direction and non-conforming Raviart-Thomas elements in the horizontal planes. We d ...
A relatively new field, domain composition methods draw on parallel computing techniques and are proving a powerful approach to the numerical solution of partial differential equations. This book illustrates the basic mathematical concepts and looks at a l ...
We present an overview of the theory and applications of spectral penalty methods for the stable solution of initial boundary value problems. Through a number of case studies we shall illustrate that imposing boundary conditions weakly through a penalty te ...
Shows how numerical solutions of the human cardiovascular system may be devised by coupling models having different physical dimensions. One of the aspects of the circulatory system is its multiscale nature. Local flow features may have a global effect on ...
New technologies in computer science applied to numerical computations open the door to alternative approaches to mechanical problems using the finite element method. In classical approaches, theoretical developments often become cumbersome and the compute ...
A general approximation for the solution of the one- dimensional nonlinear diffusion equation is presented. It applies to arbitrary soil properties and boundary conditions. The approximation becomes more accurate when the soil-water diffusivity approaches ...
This paper deals with numerical simulation of induction heating for axisymmetric geometries. A mathematical model is presented, together with a numerical scheme based on the Finite Element Method. A numerical simulation code was implemented using the model ...