28 citations · 52 across the 11 of their papers we have counts for
11 papers
Simplified convergence proof in Bézier finite elements on D-dimensional simplex
G. Steinbrecher, N. Pometescu
By using a general formalism, we expose a simplified proof of the convergence of the Bézier polynomials attached to a continuous function defined in arbitrary dimensional simplex.…
Minimization algorithm in the simulation of the Wall Touching Kink Modes
Gyorgy Steinbrecher, Nicolae Pometescu
In this paper the discretized variational principle in the simulation of the Wall Touching Kink Modes (WTKM) is reformulated in terms of independent variables and a corresponding c…
Numerical Stability of Generalized Entropies
György Steinbrecher, Giorgio Sonnino
In many applications, the probability density function is subject to experimental errors. In this work the continuos dependence of a class of generalized entropies on the experimen…
Symmetry Group and Group Representations Associated to the Thermodynamic Covariance Principle (TCP)
Giorgio Sonnino, Jarah Evslin, Alberto Sonnino +2
We describe the Lie group and the group representations associated to the nonlinear Thermodynamic Coordinate Transformations (TCT). The TCT guarantee the validity of the Thermodyna…
Stationary distribution functions for Tokamak-plasmas in the weak-collisional transport regime by MaxEnt principle
Giorgio Sonnino, Philippe Peeters, Alberto Sonnino +2
In previous works, we derived stationary density distribution functions (DDF) where the local equilibrium is determined by imposing the maximum entropy (MaxEnt) principle, under th…
New Class of Generalized Extensive Entropies for Studying Dynamical Systems in Highly Anisotropic Phase Space
Giorgio Sonnino, György Steinbrecher
Starting from the geometrical interpretation of the Rényi entropy, we introduce further extensive generalizations and study their properties. In particular, we found the probabilit…