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Displaying 441 –
460 of
1956
Two-phase fluid flows on substrates (i.e. wetting phenomena) are important in many industrial processes, such as micro-fluidics and coating flows. These flows include additional physical effects that occur near moving (three-phase) contact lines. We present a new 2-D variational (saddle-point) formulation of a Stokesian fluid with surface tension that interacts with a rigid substrate. The model is derived by an Onsager type principle using shape differential calculus (at the sharp-interface, front-tracking...
We introduce and analyse a mixed formulation of the
Monge-Kantorovich equations, which express optimality conditions for
the mass transportation problem with cost proportional to distance.
Furthermore, we introduce and analyse the finite element
approximation of this formulation using the lowest order
Raviart-Thomas element. Finally, we present some numerical
experiments, where both the optimal transport density and the
associated Kantorovich potential are computed for a coupling problem
and problems...
We study in this paper the electromagnetic field generated in a conductor by an alternating current density. The resulting interface problem (see Bossavit (1993)) between the metal and the dielectric medium is treated by a mixed–FEM and BEM coupling method. We prove that our BEM-FEM formulation is well posed and that it leads to a convergent Galerkin method.
We study in this paper the electromagnetic field generated in a
conductor by an alternating current density. The resulting
interface problem (see Bossavit (1993)) between the metal and the
dielectric medium is treated by a mixed–FEM and BEM coupling
method. We prove that our BEM-FEM formulation is well posed and
that it leads to a convergent Galerkin method.
This paper proposes and analyzes a BEM-FEM scheme to approximate a time-harmonic diffusion problem in the plane with non-constant coefficients in a bounded area. The model is set as a Helmholtz transmission problem with adsorption and with non-constant coefficients in a bounded domain. We reformulate the problem as a four-field system. For the temperature and the heat flux we use piecewise constant functions and lowest order Raviart-Thomas elements associated to a triangulation approximating the...
This paper proposes and analyzes a BEM-FEM scheme to approximate
a time-harmonic diffusion problem in the plane with non-constant
coefficients in a bounded area. The model is set as a Helmholtz
transmission problem with adsorption and with non-constant
coefficients in a bounded domain. We reformulate the problem as a
four-field system. For the temperature and the heat flux we use
piecewise constant functions and lowest order Raviart-Thomas
elements associated to a triangulation approximating the...
A modal synthesis method to solve the elastoacoustic vibration problem is analyzed. A two-dimensional coupled fluid-solid system is considered; the solid is described by displacement variables, whereas displacement potential is used for the fluid. A particular modal synthesis leading to a symmetric eigenvalue problem is introduced. Finite element discretizations with lagrangian elements are considered for solving the uncoupled problems. Convergence for eigenvalues and eigenfunctions is proved, error...
A modal synthesis method to solve the elastoacoustic vibration problem
is analyzed. A two-dimensional coupled fluid-solid system is considered;
the solid is described by displacement variables, whereas displacement
potential is used for the fluid. A particular modal synthesis leading to
a symmetric eigenvalue problem is introduced. Finite element discretizations
with Lagrangian elements are considered for solving the uncoupled problems.
Convergence for eigenvalues and eigenfunctions is proved,...
A simple model of biological evolution of community food webs is introduced. This model
is based on the niche model, which is known to generate model food webs that are very
similar to empirical food webs. The networks evolve by speciation and extinction.
Co-extinctions due to the loss of all prey species are found to play a major role in
determining the longterm shape of the food webs. The central aim is to design the model
such that the characteristic...
This paper deals with modeling the passive
behavior of skeletal muscle tissue including
certain microvibrations at the cell level. Our
approach combines a continuum mechanics model
with large deformation and incompressibility at
the macroscale with chains of coupled
nonlinear oscillators.
The model verifies that an externally applied
vibration at the appropriate frequency is able to synchronize
microvibrations in skeletal muscle cells.
From the numerical analysis point of view,
one faces...
In this paper we analyse an algorithm which is a modification of the so-called two-level algorithm with overcorrection, published in [2]. We illustrate the efficiency of this algorithm by a model example.
Currently displaying 441 –
460 of
1956