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The least-squares and Galerkin methods for partial differential equations
There are other methods of discretization than the Galerkin method. These other methods can have in some cases formal and practical advantages. The aim of the paper is to compare the Galerkin method
Applied mathematics
- 2019 •
- D •
- Link
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D - Stať ve sborníku
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Forward and inverse problems for surface acoustic waves in anisotropic media: A Ritz-Rayleigh method based approach
We show that the Ritz-Rayleigh method can be used for calculation of velocity of surface acoustic waves (SAWs) propagating in a general direction of an anisotropic medium of arbitrary symmetry class....
BI - Akustika a kmity
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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F-Transform Inspired Weak Solution to a Boundary Value Problem
A novel approach to the methodology of solving the two-point boundary value problem is proposed. It is based on the inverse F-transform representation, which we used in the framework of the Ritz-Galerkin technique. This paper is a s...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Generalized Fuzzy Partition in Galerkin Method for the Boundary Valued Problem
This paper introduces a novel construction of test spaces in the Ritz-Galerkin method. These spaces are established on the basis of linear spaces of functions that are linear combination of polynomials and fuzzy sets of a g...
Applied mathematics
- 2019 •
- D •
- Link
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D - Stať ve sborníku
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Vibration modes of a single plate with the general boundary conditions
: finite element method, numerical-analytical approach and Rayleigh-Ritz method...
BI - Akustika a kmity
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
About One Universal Method of Optimal Control
This paper presents the special method of optimal control of dynamical systems. The most applied methods prefer the classical calculus of variations especially the maximum or minimum principle. The method, which is explaine...
JB - Senzory, čidla, měření a regulace
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Application of the Ritz-Rayleigh method for Lamb waves in extremely anisotropic media
We propose a numerical approach for the calculation of frequency-dispersion curves in a flat anisotropic waveguide based on the Ritz-Rayleigh method, offering several significant benefits over commonly used analytical and n...
Materials engineering
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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In Situ Characterization of the Elasticity and Stress-Induced Phase Transformation of NiTi Shape-Memory Alloy
is measured in situ during mechanical loading. An inverse method based on the Ritz-Rayleigh numerical approach is then used to obtain the development of elastic......
Acoustics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Application of the Ritz-Rayleigh method for Lamb waves in extremely anisotropic media
We propose a numerical approach for the calculation of frequency-dispersion curves in a flat anisotropic waveguide based on the Ritz-Rayleigh method, offering several significant benefits over commonly used analytical and n...
Nuclear related engineering; (nuclear physics to be 1.3);
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Guaranteed and fully computable two-sided bounds of Friedrichs' constant
This contribution presents a general numerical method for computing lower and upper bound of the optimal constant in Friedrichs? inequality. The standard Rayleigh-Ritz method is used for the lower bound and the
BA - Obecná matematika
- 2013 •
- D •
- Link
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D - Stať ve sborníku
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