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81 075 (0,186s)

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The L2-optimality of the IIPG method for odd degrees of polynomial approximation in 1D

The paper proves the L2-optimality of the incomplete interior penalty method for odd degrees of polynomial approximation for 1D elliptic problems....

BA - Obecná matematika

  • 2010
  • Jx
Result

A remark on the optimal mesh and the optimal polynomial degree distribution in solving 1D boundary value problem by the hp-FEM

solution.To this end, a constrained optimization method is applied. Since the optimization of the polynomial degree distribution leads to a combinatorial optimization problem, solving the entire optim...

BA - Obecná matematika

  • 2011
  • D
Result

On optimal node and polynomial degree distribution in one-dimensional hp-FEM

, positions of nodes, and polynomial degrees of elements. Optimization methods andsoftwareWe are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total n...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Semidefinite approximations of the polynomial abscissa

of the abscissa given by polynomials of fixed degree, and hence controlled complexity. Our programming problems. When their degree tends to infinity, the polynomial approximationsGiven a univariate polynomial<...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

On optimal node and polynomial degree distribution in one-dimensional hp -FEM

, positions of nodes, and polynomial degrees of elements. Optimization methods andsoftwareWe are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total n...

JM - Inženýrské stavitelství

  • 2013
  • Jx
  • Link
Result

Real-Time H2 and H_inf Control of a Gyroscope Using a Polynomial Approach

In this paper H2 and H_inf control techniques ara applied to the real-time control of a gyroscope with two degrees of freedom. The controllers are designed based on a polynomial approach and using routines from the Polynomial

BC - Teorie a systémy řízení

  • 2005
  • Jx
Result

Optimal polynomial approximation of line graphs in MATLAB? environment

This contribution deals with a polynomial approximation of functions defined by tables using a least-squares method. Principles of the method are summarized and an optimal polynomial degree selection is described o...

JA - Elektronika a optoelektronika, elektrotechnika

  • 2012
  • Jx
  • Link
Result

Optimal Polynomial Approximation of Photovoltaic Panel Characteristics Using a Stochastic Approach

The essence of this article is finding the optimal degree of the p=f(v) real photovoltaic panel characteristics approximation polynomial. The characteristics measuring. The outputs are the coefficients of an approximation <...

JA - Elektronika a optoelektronika, elektrotechnika

  • 2013
  • Jx
  • Link
Result

On the optimal setting of the hp-version of the finite element method

, the optimal use of available degrees of freedom is sought after. This is done through optimizing both the mesh and the polynomial degree of the basis functions. The resulting combinatorial optimizati...

BA - Obecná matematika

  • 2013
  • D
  • Link
Result

Convergence rates of moment-sum-of-squares hierarchies for optimal control problems

We study the convergence rate of the moment-sum-of-squares hierarchy of semidefinite programs for optimal control problems with polynomial data. It is known that this hierarchy generates polynomial under-approximations to t...

Pure mathematics

  • 2017
  • Jimp
  • Link
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