The basic boundary value problems of static elasticity theory and their Cosserat spectrum.
The basic differential equations of self-anchored cable-stayed suspension bridge.
The basic mixed problem for an anisotropic elastic body.
The Bernoulli manifolds for nonelliptic quasilinear systems of first order and applications in continuum mechanics
The boundary behavior of a composite material
In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order in the energy norm.
The boundary behavior of a composite material
In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order ε in the energy norm.
The boundary element method with linear boundary elements for the Stokes flow.
The boundary-contact problem of elasticity for homogeneous anisotropic media with a contact on some part of the boundaries.
The bowed narrow plate model.
The Cahn-Hilliard-Gurtin system coupled with elasticity
The Cauchy problem for the system of partial differential equations describing nonsimple thermoelasticity
The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
The Cauchy stress theorem for bodies with finite perimeter
The comparative study of vibration control of flexible structure using smart materials.
The complementing condition and its role in a bifurcation theory applicable to nonlinear elasticity.
The contact problem for an elastic orthotropic plate supported by periodically located bars of equal resistance.
The convergence of a Galerkin approximation scheme for an extensible beam
The convergence of a new method for calculating lower bounds to eigenvalues
The CUDA implementation of the method of lines for the curvature dependent flows
We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...
The direct dynamical problem of seismics for horizontally stratified media.
The discontinuous boundary problem for transversally-isotopic plates containing linear defects.