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Displaying 41 –
60 of
695
We use the work of Milton, Seppecher, and Bouchitté on variational principles for waves in lossy media to formulate a finite element method for solving the complex Helmholtz equation that is based entirely on minimization. In particular, this method results in a finite element matrix that is symmetric positive-definite and therefore simple iterative descent methods and preconditioning can be used to solve the resulting system of equations. We also derive an error bound for the method and illustrate...
One of the current debate about simulating the electrical activity in the heart is the following: Using a realistic anatomical setting, i.e. realistic geometries, fibres orientations, etc., is it enough to use a simplified 2-variable phenomenological model to reproduce the main characteristics of the cardiac action potential propagation, and in what sense is it sufficient? Using a combination of dimensional and asymptotic analysis, together with the well-known Mitchell − Schaeffer model, it is shown...
We consider the radiative transfer equation (RTE) with reflection in a three-dimensional
domain, infinite in two dimensions, and prove an existence result. Then, we study the
inverse problem of retrieving the optical parameters from boundary measurements, with help
of existing results by Choulli and Stefanov. This theoretical analysis is the framework of
an attempt to model the color of the skin. For this purpose, a code has been developed to
solve...
We study the Landau-Lifshitz model for the energy of multi-scale transition layers – called “domain walls” – in soft ferromagnetic films. Domain walls separate domains of constant magnetization vectors that differ by an angle . Assuming translation invariance tangential to the wall, our main result is the rigorous derivation of a reduced model for the energy of the optimal transition layer, which in a certain parameter regime confirms the experimental, numerical and physical predictions: The...
It is known that the vector stop operator with a convex closed characteristic of class is locally Lipschitz continuous in the space of absolutely continuous functions if the unit outward normal mapping is Lipschitz continuous on the boundary of . We prove that in the regular case, this condition is also necessary.
A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).
The paper deals with the application of a non-conforming domain
decomposition method
to the problem of the computation of induced currents in electric engines
with moving conductors.
The eddy currents model is considered as a quasi-static
approximation of Maxwell
equations and we study its two-dimensional formulation with either the
modified magnetic vector potential or the magnetic field as primary variable.
Two discretizations are proposed, the first one based on curved finite
elements
and the...
The paper deals with the application of a non-conforming domain decomposition method to the problem of the computation of induced currents in electric engines with moving conductors. The eddy currents model is considered as a quasi-static approximation of Maxwell equations and we study its two-dimensional formulation with either the modified magnetic vector potential or the magnetic field as primary variable. Two discretizations are proposed, the first one based on curved finite elements and the...
We present in this paper a stability study concerning finite volume schemes
applied to the two-dimensional Maxwell system, using rectangular or triangular
meshes. A stability condition is proved for the
first-order upwind scheme on a rectangular mesh. Stability comparisons
between the Yee scheme and the finite volume formulation are proposed.
We also compare the stability domains obtained when considering the
Maxwell system and the convection equation.
A stochastic generalized Born (GB) solver is presented which can give predictions of energies arbitrarily close to those that would be given by exact effective GB radii, and, unlike analytical GB solvers, these errors are Gaussian with estimates that can be easily obtained from the algorithm. This method was tested by computing the electrostatic solvation energies (ΔGsolv) and the electrostatic binding energies (ΔGbind) of a set of DNA-drug complexes, a set of protein-drug complexes, a set of protein-protein...
Currently displaying 41 –
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695