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Transformation Methods for Static Field Problems With Random Domains [PDF]
, 2011 The numerical solution of partial differential equations onto random domains can be done by using a mapping transforming this random domain into a deterministic domain. The issue is then to determine this one to one random mapping.
J. C. Mipo +5 more
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Time-decoupled high order continuous space-time finite element schemes for the heat equation [PDF]
, 2014 Copyright © by SIAMIn Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 6685—6708 Werder et al. demonstrated that time discretizations of the heat equation by a temporally discontinuous Galerkin finite element method could be decoupled by diagonalising
Kruse, C, Shaw, S
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Stable Spectral Methods on Tetrahedral Elements
SIAM Journal on Scientific Computing, 2000 The authors present a framework for the construction of stable spectral methods on arbitrary domains with unstructured grids. They identify nodal sets suitable for polynomial interpolation on a tetrahedron and formulate stable spectral schemes on such unstructured nodal sets.
Jan S. Hesthaven, C. H. Teng
openaire +2 more sources
Development of numerical technique by Galerkin approach of spectral element method for hybrid beam
AIP Advances, 2016 This paper introduces a Galerkin spectral element method (GSEM) for hybrid beam. The considered beam model depends upon the first order shear deformation theory (FSDT) is taken into account.
Muhammad Nauman Bashir, M. O. Ahmad
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A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling [PDF]
, 2008 18.02.14 KB. Ok to add accepted version to spiral, Elsevier says ok while mandate not enforced.We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We
Cotter, CJ +5 more
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Multi-element stochastic reduced basis methods [PDF]
, 2007 This paper presents mutli-element Stochastic Reduced Basis Methods (ME-SRBMs) for solving linear stochastic partial differential equations. In ME-SRBMs, the domain of definition of the random inputs is decomposed into smaller subdomains or random ...
Surya Mohan, P. +5 more
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High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling [PDF]
, 2014 Copyright @ 2014 The Authors. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.We revisit a method ...
Mark P Brewin +19 more
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Efficient method for the solution of Maxwell’s equations for nanostructured materials [PDF]
ITM Web of Conferences, 2019 The calculation of the electromagnetic field in nanostructured materials and nano-optoelectronic devices, when the wavelength of the incident radiation is comparable with the size of the structural elements, requires the exact solution of Maxwell's ...
Semenikhin Igor
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Numerical methods for the time-fractional diffusion equation: A review [PDF]
AUT Journal of Mathematics and ComputingThis review paper focuses on the numerical solution of the time-fractional diffusion equation using various discretization techniques. For the time-fractional derivative, we consider methods such as L-type approximations and Grünwald-Letnikov-based ...
Amin Ghoreyshi +2 more
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地震科学进展, 2020 Near-fault ground motion can cause serious earthquake disaster in the near-field area，especially when there is sedimentary topography in the area. At present，there are no reports on the ground motion response of sedimentary basins under the action of ...
Zhenning Ba +4 more
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