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Space-Time Mesh Refinement for Elastodynamic Equations
This work deals with the simulation of wave scattering in elastic, anisotropic and heterogeneous media with cracks using explicit schemes. Our goal is the development... -
A Fully Discrete Approximation for Control Problems governed by Parabolic Var...
In this work we consider a numerical approximation of an optimal control problem governed by variational inequalities. We use a total discretization scheme: implicit... -
Incremental displacement-correction schemes for incompressible fluid-structur...
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An Analysis of Higher Order Boundary Conditions for the Wave Equation.
Thanks to the use of the Cagniard-De Hoop method, we derive an analytic solution in the time domain for the half-space problem associated with the wave equation with... -
Mathematical Analysis of a Method to Compute Guided Waves in Integrated Optics
In this article, we propose a new method to solve an eigenvalue problem (posed in $\B$) arising from the computation of guided modes in integrated optics... -
Exponential meshes and three-dimensional computation of a magnetic field
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Error Estimates for a Numerical Scheme for Ferromagnetic Problems
We propose a finite element method for approximating the non-linear equations describing the electromagnetic field in a ferromagnetic material. Using energy arguments,... -
Fourth-Order Dissipation on Unstructured Anisotropic meshes for Convection-Di...
We consider a linear convection diffusion equation in two space dimensions and propose to stabilise the Galerkin method with a fourth-order artificial dissipation. We... -
Adaptive semi-Lagrangian schemes for Vlasov equations
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Approximation of periodic solutions for a dissipative hyperbolic equation
This paper studies the numerical approximation of periodic solutions for an exponentially stable linear hyperbolic equation in the presence of a periodic external... -
Analysis and development of spatial hp-refinement methods for the neutron tra...
The different neutronic parameters have to be calculated with a higher accuracy in order to design the 4th generation reactor cores. As memory storage and computation... -
Mesh adaptation by Optimal Control of a continuous model
The problem of finding the best mesh in a numerical simulation is addressed with the introduction of a scalar output and of an adjoint state in combination with an a... -
Error estimates for a stochastic impulse control problem
We obtain error bounds for monotone approximation schemes of a stochastic impulse control problem. This is an extension of the theory for error estimates for the... -
Error estimates for stochastic differential games: the adverse stopping case
We obtain error bounds for monotone approximation schemes of a particular Isaacs equation. This is an extension of the theory for estimating errors for the... -
DISCONTINUOUS GALERKIN DISCRETIZATION AND HP-REFINEMENT FOR THE RESOLUTION OF...
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Transient $L^1$ error estimates for well-balanced schemes on non-resonant sca...
The ability of Well-Balanced (WB) schemes to capture very accurately steady-state regimes of non-resonant hyperbolic systems of balance laws has been thoroughly... -
Stabilität des diffusions-konvektions-problems und stabilität des konvektions...
Gegenstand der Arbeit ist die zweidimensionale stationäre Konvektion-Diffusionsgleichung v(∇u, ∇v)+( β•∇u, v) = (f, v), die zeitabhängige... -
On spectral approximation algorithm for thermoelastic shells in the nonclassi...
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Error estimates for space-time discretizations of a rate-independent variatio...
International audience
