The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
During the development of a parallel solver for Maxwell equations by integral formulations and Fast Multipole Method (FMM), we needed to optimize a critical part including a lot of communications and computations. Generally, many parallel programs need to communicate, but choosing explicitly the way and the instant may decrease the efficiency of the overall program. So, the overlapping of computations and communications may be a way to reduce this drawback. We will see a implementation of this techniques...
During the development of a parallel solver for Maxwell equations by integral formulations and Fast Multipole Method (FMM), we needed to optimize a critical part including a lot of communications and computations. Generally, many parallel programs need to communicate, but choosing explicitly the way and the instant may decrease the efficiency of the overall program. So, the overlapping of computations and communications may be a way to reduce this drawback. We will see a implementation of this...
In this paper we consider the Maxwell resolvent operator and its finite element approximation. In this framework it is natural the use of the edge element spaces and to impose the divergence constraint in a weak sense with the introduction of a Lagrange multiplier, following an idea by Kikuchi [14]. We shall review some of the known properties for edge element approximations and prove some new result. In particular we shall prove a uniform convergence in the norm for the sequence of discrete operators....
In this paper we consider the Maxwell resolvent operator and its finite element
approximation. In this framework it is natural the use of the edge element
spaces and to impose the divergence constraint in a weak
sense with the introduction of a Lagrange multiplier, following
an idea by Kikuchi [14].
We shall review some of the known properties for edge element
approximations and prove some new result. In particular we shall prove a
uniform convergence in the L2 norm for the sequence of discrete...
The self-organization of porous nanostructures in anodic metal oxide
is considered. A mathematical model which incorporates the chemical
reactions at the metal-oxide and oxide-electrolyte interfaces and
elastic stress caused by the electrostrictive effects is
developed. It is shown through linear stability analysis, that a
short-wave instability exists in certain parameter regimes which can
lead to the formation of hexagonally ordered pores observed in
anodized aluminum oxide.
Since matrix compression has paved the way for discretizing the boundary integral
equation formulations of electromagnetics scattering on very fine meshes, preconditioners
for the resulting linear systems have become key to efficient simulations. Operator
preconditioning based on Calderón identities has proved to be a powerful device for
devising preconditioners. However, this is not possible for the usual first-kind boundary
formulations for electromagnetic...
Since matrix compression has paved the way for discretizing the boundary integral
equation formulations of electromagnetics scattering on very fine meshes, preconditioners
for the resulting linear systems have become key to efficient simulations. Operator
preconditioning based on Calderón identities has proved to be a powerful device for
devising preconditioners. However, this is not possible for the usual first-kind boundary
formulations for electromagnetic...
The electrowetting process is commonly used to handle very small amounts of liquid on a solid surface. This process can be modelled mathematically with the help of the shape optimization theory. However, solving numerically the resulting shape optimization problem is a very complex issue, even for reduced models that occur in simplified geometries. Recently, the second author obtained convincing results in the 2D axisymmetric case. In this paper, we propose and analyze a method that is suitable...
We present a numerical algorithm to solve the micromagnetic equations based on tangential-plane minimization for the magnetization update and a homothethic-layer decomposition of outer space for the computation of the demagnetization field. As a first application, detailed results on the flower-vortex transition in the cube of Micromagnetic Standard Problem number 3 are obtained, which confirm, with a different method, those already present in the literature, and validate our method and code. We...
We present a numerical algorithm to
solve the micromagnetic equations based on tangential-plane
minimization for the magnetization update and a homothethic-layer
decomposition of outer space for the computation of the demagnetization field.
As a first application, detailed results on the flower-vortex
transition in the cube of Micromagnetic Standard Problem number 3 are
obtained, which confirm, with a different method, those already
present in the literature, and validate our method and...
We rigorously derive energy estimates for the second order vector wave equation with gauge condition for the electric field with non-constant electric permittivity function. This equation is used in the stabilized Domain Decomposition Finite Element/Finite Difference approach for time-dependent Maxwell’s system. Our numerical experiments illustrate efficiency of the modified hybrid scheme in two and three space dimensions when the method is applied for generation of backscattering data in the reconstruction...
Currently displaying 1 –
20 of
36