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Displaying 441 –
460 of
9172
This work is concerned with a class of minimum effort problems for partial differential equations, where the control cost is of L∞-type. Since this problem is non-differentiable, a regularized functional is introduced that can be minimized by a superlinearly convergent semi-smooth Newton method. Uniqueness and convergence for the solutions to the regularized problem are addressed, and a continuation strategy based on a model function is proposed. Numerical examples for a convection-diffusion equation...
We consider an incompressible flow problem in a N-dimensional fractured porous domain (Darcy’s problem). The fracture is represented by a (N − 1)-dimensional interface, exchanging fluid with the surrounding media. In this paper we consider the lowest-order (ℝ T0, ℙ0) Raviart-Thomas mixed finite element method for the approximation of the coupled Darcy’s flows in the porous media and within the fracture, with independent meshes for the respective domains. This is achieved thanks to an enrichment...
We consider an incompressible flow problem in a N-dimensional fractured
porous domain (Darcy’s problem). The fracture is represented by a
(N − 1)-dimensional interface, exchanging fluid with the surrounding
media. In this paper we consider the lowest-order (ℝ T0, ℙ0) Raviart-Thomas mixed finite element
method for the approximation of the coupled Darcy’s flows in the porous media and within
the fracture, with independent meshes for the respective...
A unilateral problem of an elastic plate above a rigid interior obstacle is solved on the basis of a mixed variational inequality formulation. Using the saddle point theory and the Herrmann-Johnson scheme for a simultaneous computation of deflections and moments, an iterative procedure is proposed, each step of which consists in a linear plate problem. The existence, uniqueness and some convergence analysis is presented.
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...
Currently displaying 441 –
460 of
9172