-measures and bounds on the effective properties of composite materials.
-FEM for three-dimensional elastic plates
In this work, we analyze hierarchic -finite element discretizations of the full, three-dimensional plate problem. Based on two-scale asymptotic expansion of the three-dimensional solution, we give specific mesh design principles for the -FEM which allow to resolve the three-dimensional boundary layer profiles at robust, exponential rate. We prove that, as the plate half-thickness tends to zero, the -discretization is consistent with the three-dimensional solution to any power of in the energy...
Heat conduction in lenses.
Hencky-Prandtl nets and constant principal strain mappings with isolated singularities.
Heteroclinic orbits, mobility parameters and stability for thin film type equations.
Higher integrability of determinants and weak convergence in L1.
Higher integrability of the gradient in linear elasticity.
Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type
A nonlinear elliptic partial differential equation with homogeneous Dirichlet boundary conditions is examined. The problem describes for instance a stationary heat conduction in nonlinear inhomogeneous and anisotropic media. For finite elements of degree we prove the optimal rates of convergence in the -norm and in the -norm provided the true solution is sufficiently smooth. Considerations are restricted to domains with polyhedral boundaries. Numerical integration is not taken into account....
Higher order variational inequalities with non-standard growth conditions in dimension two: plates with obstacles.
Higher order variational problems on two-dimensional domains.
Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction.
Higher-order splitting method for elastic wave propagation.
Hilbert transform and its geophysical applications
History-dependent scalar conservation laws
Homogénéisation
Homogénéisation de frontières par épi-convergence en élasticité linéaire
Homogénéisation de structures minces en béton armé
Homogenization and diffusion asymptotics of the linear Boltzmann equation
We investigate the diffusion limit for general conservative Boltzmann equations with oscillating coefficients. Oscillations have a frequency of the same order as the inverse of the mean free path, and the coefficients may depend on both slow and fast variables. Passing to the limit, we are led to an effective drift-diffusion equation. We also describe the diffusive behaviour when the equilibrium function has a non-vanishing flux.
Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation
We investigate the diffusion limit for general conservative Boltzmann equations with oscillating coefficients. Oscillations have a frequency of the same order as the inverse of the mean free path, and the coefficients may depend on both slow and fast variables. Passing to the limit, we are led to an effective drift-diffusion equation. We also describe the diffusive behaviour when the equilibrium function has a non-vanishing flux.
Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality