Results 41 to 50 of about 369,300 (196)
Generalized variational formulations for extended exponentially fractional integral [PDF]
, 2016 Recently, the fractional variational principles as well as their applications yield a special attention. For a fractional variational problem based on different types of fractional integral and derivatives operators, corresponding fractional Lagrangian ...
Hua-Gang Li +5 more
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Minkowski and Galilei/Newton Fluid Dynamics: A Geometric 3 + 1 Spacetime Perspective
Fluids, 2018 A kinetic theory of classical particles serves as a unified basis for developing a geometric 3 + 1 spacetime perspective on fluid dynamics capable of embracing both Minkowski and Galilei/Newton spacetimes. Parallel treatment of these cases on as common a
Christian Cardall
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Transfinite Elements Using Bernstein Polynomials
AxiomsTransfinite interpolation, originally proposed in the early 1970s as a global interpolation method, was first implemented using Lagrange polynomials and cubic Hermite splines.
Christopher Provatidis
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A Non-Canonical Classical Mechanics
AppliedMathBased on noncommutative relations and the Dirac canonical dequantization scheme, I generalize the canonical Poisson bracket to a deformed Poisson bracket and develop a non-canonical formulation of the Poisson, Hamilton, and Lagrange equations in the ...
Shi-Dong Liang
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The optimal control of moving boundary problems receives growing attention in science and technology. We consider the so called two-phase Stefan problem that models a solid and a liquid phase separated by a moving interface. The Stefan problem is coupled
Baran Bjőrn +3 more
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The Formulations of Classical Mechanics with Foucault’s Pendulum
Physics, 2020 Since the pioneering works of Newton (1643–1727), mechanics has been constantly reinventing itself: reformulated in particular by Lagrange (1736–1813) then Hamilton (1805–1865), it now offers powerful conceptual and mathematical tools for the exploration
Nicolas Boulanger, Fabien Buisseret
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Formulation of Euler–Lagrange equations for fractional variational problems
Journal of Mathematical Analysis and Applications, 2002 The author gives an analogue of the Euler equation for the variational problem for the functional \(J[y]= \int_a^b F(x,y,y^{(\alpha)}_+, y^{(\beta)}_-)\; dx\) where \(y^{(\alpha)}_+\) and \( y^{(\beta)}_-\) stand, respectively, for the left-hand sided and right-hand sided fractional derivatives.
openaire +1 more source
On the equivalence of Finite Element and Finite Integration formulations [PDF]
, 2009 The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. The focus is on the Finite Element Method (FEM) and Finite Integration Technique (FIT), but with the cell and equivalent network approaches also considered ...
R. Wojciechowski +6 more
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Modeling of shell-beam transitions in the presence of finite rotations
Computer Assisted Methods in Engineering and Science, 2023 A finite element formulation for a transition element between shells and beam structures is described in this paper. The elements should allow changes between models in an 'optimal' way without or with little disturbances which decrease rapidly due to ...
Wern Wagner, Friedrich G Gruttmann
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Computer Assisted Methods in Engineering and Science, 2023 The paper concerns shape functions formulations in the scope of the recent methods generalizing finite elements and whose common feature is the absence of a mesh.
Piotr Breitkopf +2 more
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