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Estimates on the number of Fq–rational solutions of variants of diagonal equations over finite fields
(Elsevier, 2020-12)
In this paper we study the set of Fq-rational solutions of equations defined by polynomials evaluated in power-sum polynomials with coefficients in Fq. This is done by means of applying a methodology which relies on the ...
Average-case complexity of the Euclidean algorithm with a fixed polynomial over a finite field
(Cambridge University Press, 2021-07-06)
We analyse the behaviour of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant polynomials over a finite field Fq of q elements when the highest degree polynomial g is fixed. Considering all the ...
On the number of solutions of systems of certain diagonal equations over finite fields
(Academic Press Inc Elsevier Science, 2022-07)
In this paper we obtain explicit estimates and existence results on the number of Fq-rational solutions of certain systems defined by families of diagonal equations over finite fields. Our approach relies on the study of ...
Rational places in extensions and sequences of function fields of Kummer type
(Elsevier Science, 2011-11)
In this paper we prove results on the number of rational places in extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step ...
An Eulerian finite element with finite rotations for thin-walled composite beams.
(Asociación Argentina de Mecánica Computacional, 2010-11)
An Eulerian beam finite element for composite thin-walled beams considering arbitrary displacements and rotations is presented. As a distinct feature, the virtual work equations are written as a function of generalized ...
A finite volume formulation for magnetostatics of discontinuous media within a multi-region OpenFOAM framework
(Academic Press Inc Elsevier Science, 2021-05-15)
In this article we present a formulation for the numerical computation of static magnetic fields in discontinuous media. Focusing on solving magneto-fluid-structure interaction problems, we developed a finite volume ...
The distribution of factorization patterns on linear families of polynomials over a finite field
(Springer, 2017-10)
We estimate the number |Aλ| of elements on a linear family A of monic polynomials of Fq[T] of degree n having factorization pattern λ:=1λ12λ2nλn. We show that |Aλ| = T(λ)qn-m + O(qn-m-1/2), where T(λ) is the proportion of ...
A coupled FEM-SBFEM approach for soil-structure-interaction analysis using non-matching meshes at the near-field far-field interface
(Elsevier, 2019-06)
Nowadays numerical simulation of soil structure interaction (SSI)is applied to different problems, such as the construction of reliable earthquake-resistant structures. To analyze SSI considering unbounded domains, a ...
Aspects of renormalization in finite-density field theory
(American Physical Society, 2015-05-15)
We study the renormalization of the Fermi surface coupled to a massless boson near three spatial dimensions. For this, we set up a Wilsonian RG with independent decimation procedures for bosons and fermions, where the ...
A nonconforming mixed finite element method for Maxwell's equations
(World Scientific, 2000-02)
We present a nonconforming mixed finite element scheme for the approximate solution of the time-harmonic Maxwell's equations in a three-dimensional, bounded domain with absorbing boundary conditions on artificial boundaries. ...