Group method analysis of two-dimensional plate in heat flux.
Group synchronization of diffusively coupled harmonic oscillators
This paper considers group synchronization issue of diffusively directed coupled harmonic oscillators for two cases with nonidentical and identical agent dynamics. For the case of coupled nonidentical harmonic oscillators with positive coupling, it is demonstrated that distributed group synchronization can always be achieved under two kinds of network structures, i. e., the strongly connected graph and the acyclic partition topology with a directed spanning tree. It is interesting to find that the...
Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals
The paper is concerned with guaranteed and computable bounds of the limit (or safety) load, which is one of the most important quantitative characteristics of mathematical models associated with linear growth functionals. We suggest a new method for getting such bounds and illustrate its performance. First, the main ideas are demonstrated with the paradigm of a simple variational problem with a linear growth functional defined on a set of scalar valued functions. Then, the method is extended to...
Guided waves in a fluid layer on an elastic irregular bottom.
In this paper one considers the linearized problem to determine the movement of an ideal heavy fluid contained in an unbounded container withelastic walls. As initial data one knows the movement of both the bottom and the free surface of the fluid and also the strength of certain perturbation, strong enough to take the bottom out of its rest state.One important point to be considered regards the influence of the bottom’s geometry on the propagation of superficial waves. This problem has been already...
Guided waves in a fluid-loaded transversely isotropic plate.
-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