Loading [MathJax]/extensions/MathZoom.js
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...
We consider quasilinear optimal control problems involving a thick two-level junction Ωε which consists of the junction body Ω0 and a large number of thin cylinders with the cross-section of order 𝒪(ε2). The thin cylinders are divided into two levels depending on the geometrical characteristics, the quasilinear boundary conditions and controls given on their lateral surfaces and bases respectively. In addition, the quasilinear boundary conditions depend on parameters ε, α, β and the...
We consider quasilinear optimal control problems involving a thick two-level junction
Ωε which consists of the junction body
Ω0 and a large number of thin cylinders with the
cross-section of order 𝒪(ε2). The thin cylinders
are divided into two levels depending on the geometrical characteristics, the quasilinear
boundary conditions and controls given on their lateral surfaces and bases respectively.
In addition, the quasilinear boundary...
We consider quasilinear optimal control problems involving a thick two-level junction
Ωε which consists of the junction body
Ω0 and a large number of thin cylinders with the
cross-section of order 𝒪(ε2). The thin cylinders
are divided into two levels depending on the geometrical characteristics, the quasilinear
boundary conditions and controls given on their lateral surfaces and bases respectively.
In addition, the quasilinear boundary...
We rigorously establish the existence of the limit
homogeneous constitutive law of a piezoelectric composite made of
periodically
perforated microstructures and whose reference configuration is a
thin shell with fixed thickness. We deal with an extension of the
Koiter shell model in which the three curvilinear coordinates of
the elastic displacement field and the electric potential are
coupled. By letting the size of the
microstructure going to zero and by using the periodic
unfolding method combined...
In this work, we analyze hierarchic hp-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 hp-FEM which allow to resolve the three-dimensional boundary
layer profiles at robust, exponential rate.
We prove that, as the plate half-thickness ε tends to zero, the hp-discretization is consistent
with the three-dimensional solution to any power of ε in...
Currently displaying 1 –
15 of
15