The mathematic model of the 3D generalized Neumann boundary problem for the rotating empty cylinder

2017 ◽  
Author(s):  
M Berdnyk
Keyword(s):  
Boundary Problem ◽  
Neumann Boundary ◽  
Mathematic Model

scholarly journals Discrete-continuous three-element model of impact device

2021 ◽  
Vol 2131 (3) ◽  
pp. 032091
Author(s):  
A M Slidenko ◽  
V M Slidenko ◽  
S G Valyukhov
Keyword(s):  
Boundary Problem ◽  
Fourier Method ◽  
Mathematic Model ◽  
Initial Boundary ◽  
Element Model ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Initial Boundary Problem ◽  
Impact Device ◽  
The Impact

Abstract There have been examined the mathematic model of the impact device provided for geological materials destruction. Basic elements of the impact device are variable cross-section tool, striker and impact device body. The interaction of these elements is described as a movement of two discrete mass and the rod in the presence of rigid and dissipative connections. One equation in partial derivatives and two ordinary differential equations associated by initial and boundary conditions represent the initial-boundary problem. The numerical method parameters of which are determined at tests problems solution by Fourier method is used for looking for solutions of mixed initial-boundary problem. Researches are made, and parameters determining the damping efficiency of tool, striker and impact device body oscillations are evaluated.

Decomposition of Plane Waves into Irreducible Representations of Space Groups

1995 ◽  
Vol 50 (6) ◽  
pp. 577-583
Author(s):  
H. Teuscher ◽  
P. Kramer
Keyword(s):  
Dirichlet Problem ◽  
Representation Theory ◽  
Boundary Problem ◽  
Plane Waves ◽  
Neumann Boundary ◽  
Basis Functions ◽  
Irreducible Representations ◽  
Space Groups ◽  
Crystallographic Space Groups ◽  
Representations Of Space

Abstract Using a relation between representation theory of crystallographic space groups and a Dirichlet type of boundary problem for the Laplacian, we derive the solutions for the Dirichlet problem, as well as for a similar Neumann boundary problem, by a complete decomposition of plane waves into irreducible representations of a particular space group. This decomposition corresponds to a basis transformation in L2(Ω) and yields a new set of basis functions adapted to the symmetry of the lattice considered.

scholarly journals ON THE DIRICHLET-NEUMANN BOUNDARY PROBLEM FOR SCALAR CONSERVATION LAWS

2016 ◽  
Vol 21 (5) ◽  
pp. 685-698
Author(s):  
Marin Mišur ◽  
Darko Mitrovic ◽  
Andrej Novak
Keyword(s):  
Approximate Solution ◽  
Conservation Laws ◽  
Boundary Problem ◽  
Neumann Boundary ◽  
Compensated Compactness ◽  
Scalar Conservation Laws ◽  
Basic Tool ◽  
Numerical Examples ◽  
Elliptic Approximation ◽  
Scalar Conservation

We consider a Dirichlet-Neumann boundary problem in a bounded domain for scalar conservation laws. We construct an approximate solution to the problem via an elliptic approximation for which, under appropriate assumptions, we prove that the corresponding limit satisfies the considered equation in the interior of the domain. The basic tool is the compensated compactness method. We also provide numerical examples.

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