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Let E be an elliptic curve over the rationals. In 1988, Koblitz conjectured an asymptotic for the number of primes p for which the cardinality of the group of Fp-points of E is prime.However, the cons...
Extension of the Finite Integration Technique including dynamic mesh refinement and its application to self-consistent beam dynamics simulations
Finite Integration Technique, Adaptive Dynamic Mesh Refinement, Particle-In-Cell
2011/9/6
An extension of the framework of the Finite Integration Technique (FIT) including dynamic and adaptive mesh refinement is presented. After recalling the standard formulation of the FIT, the proposed m...
Crystal structure refinement of a sepiolite/indigo Maya Blue pigment using molecular modelling and synchrotron diffraction
sepiolite indigo Maya Blue pigment molecular mechanics Rietveld method
2011/11/7
Maya Blue is an artificial pigment used in Pre-Columbian America, renowned for its chemical stability. The pigment can be considered a precursor of modern inclusion compounds as a hosting microporous ...
A refinement of the emission data for Kola Peninsula based on inverse dispersion modelling
the emission data Kola Peninsula inverse dispersion modelling
2010/11/30
The study reviews the emission estimates of sulphur oxides (SOx) and primary particulate matter (PM) from the major industrial sources of Kola Peninsula. Analysis of the disagreements between the exis...
Radiative cooling in numerical astrophysics: the need for adaptive mesh refinement
Computational techniques fluid dynamics Radiative recombination Radiative transfer in astrophysics
2010/11/15
Energy loss through optically thin radiative cooling plays an important part in the evolution of astrophysical gas dynamics and should therefore be considered a necessary element in any numerical simu...
Let $p$ be an odd prime. In 2008 E. Mortenson proved van Hamme's following conjecture: $$\sum_{k=0}^{(p-1)/2}(4k+1)\binom(-1/2,k)^3=(-1)^{(p-1)/2}p (mod p^3).$$ In this paper we show further that $$\s...
A geometric refinement of a theorem of Chekanov
A geometric refinement theorem of Chekanov
2010/11/9
We prove a conjecture of Barraud and Cornea in the monotone setting, refining a result of Chekanov on the Hofer distance between two Hamiltonian isotopic Lagrangian submanifolds.
Dynamic Adaptive Mesh Refinement for Topology Optimization
Dynamic Adaptive Mesh Refinement Topology Optimization
2010/12/13
We present an improved method for topology optimization with both adaptive mesh refinement and
derefinement. Since the total volume fraction in topology optimization is usually modest, after a few in...
The Refinement and Reverse of a Geometric Inequality
Geometric inequality Best constant Triangle
2010/4/16
In this paper, we give a refinement and a reverse of a geometric inequality in a triangle posed by Jiang [2] by making use of the equivalent form of a fundamental inequality [6] and classic analysis.
Convergence Analysis of the Adaptive Finite Element Method with the Red-Green Refinement
Adaptive Finite Element Method Convergence Analysis Red-Green Refinement
2015/5/6
Abstract. In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Ga...
An Edge-based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems
Adaptive finite element method Anisotropic mesh refinement El- liptic interface problem Non-homogeneous jump A posteriori error estimate
2015/5/6
Based on an error estimate in terms of element edge vectors on arbitrary unstruc-tured simplex meshes, we propose a new edge-based anisotropic mesh refinement algorithm. As the mesh adaptation indicat...
A New Refinement of the Hermite-Hadamard Inequality for Convex Functions
Hermite-Hadamard inequality
2010/1/25
In this paper we establish a new refinement of the Hermite-Hadamard inequality for convex functions.
Vector refinement equations with infinitely supported masks
Refinement equations Infinite refinement mask Subdivision schemes Transition operator Biorthogonal multiple refinable functions
2018/4/20
In this paper we investigate the L2-solutions of vector refinement equations with exponentially decaying masks and a general dilation matrix. A vector refinement equation with a general dilation matri...
Adaptive Mesh Refinement for Finite-Difference Ocean Models: First Experiments
Adaptive Mesh Refinement Finite-Difference Ocean Models
2008/7/11
The application of an adaptive mesh refinement (AMR) method for structured mesh is examined in the context of ocean modeling. This method can be used with existing finite-difference ocean models at li...
We discuss a refinement of an inequality from Information Theory using other well known inequalities. Then we consider relationships between the logarithmic mean and inequalities of the geometric-arit...