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Fuzzy stochastic elements method. Spectral approach
Mechanical Systems and Signal Processing, 2013Abstract We study a complex dynamic problem, which concerns a structure with uncertain parameters subjected to a stochastic excitation. Formulation of such a problem introduces fuzzy random variables for parameters of the structure and fuzzy stochastic processes for the load process.
Pawel Sniady +3 more
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Nonconforming spectral/hp element methods for elliptic systems
Journal of Numerical Mathematics, 2009The authors propose a nonconforming spectral\(/hp\) element method for solving elliptic systems on non-smooth domains using parallel computers. A geometric mesh is used in a neighbourhood of the corners and a modified set of polar coordinates is introduced in these neighbourhoods. Cartesian coordinates are used in the remaining part of the domain.
Kumar, N. K. +2 more
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On A New Boundary Element Spectral Method
1987An efficient numerical algorithm for partial differential equations in complicated 3-D geometries is developed in case of viscous fluid flows. The algorithm consists essentially of a combination of a boundary element method (where the resulting linear algebraic system is solved efficiently with a multigrid procedure) and a spectral method to treat the ...
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A two-fluid spectral-element method
Computer Methods in Applied Mechanics and Engineering, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spectral element methods for turbulence
2023Paul F. Fischer, Ananias G. Tomboulides
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Edge Functions for Spectral Element Methods
2010It is common practice in finite element methods to expand the unknowns in nodal functions. The discretization of the gradient, curl and divergence operators requires H 1, H(curl) and H(div) function spaces and their discrete representation. Especially in mixed formulations this involved quite some mathematical machinery which can be avoided once we ...
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The Spectral-Element Method, Beowulf Computing, and Global Seismology
Science, 2002Dimitri Komatitsch, Jeroen Tromp
exaly

