Results 51 to 60 of about 614 (179)
Discrete mathematical model of a hypersingular integral equation [PDF]
, 2019 На основе метода дискретных особенностей построена дискретная математическая модель гиперсингулярного интегрального уравнения на стандартном интервале (1,1) − и на системе интервалов.
Полянская, Татьяна Семеновна
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Journal of Applied Science and EngineeringEquivalent permeability is the most important parameter to estimate the total flow transported by a fractured geological formation. The inclusion-based effective medium model has been widely used to estimate this parameter.
An Hai Nguyen
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Space‐time stochastic Galerkin boundary elements for acoustic scattering problems
International Journal for Numerical Methods in Engineering, Volume 125, Issue 15, 15 August 2024.Summary Acoustic emission or scattering problems naturally involve uncertainties about the sound sources or boundary conditions. This article initiates the study of time domain boundary elements for such stochastic boundary problems for the acoustic wave equation.
Heiko Gimperlein +2 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.The boundary element method is widely used in practical engineering problems, especially in the field of acoustics. For flow‐induced noise, the main target of acoustic calculations is to solve the wave equation with the flow field information. However, the sound field distribution of noncompact structures in half‐space is especially complex because of ...
Wensi Zheng +2 more
wiley +1 more source
Boundary Integral Equations Approach for a Scattering Problem of a TE-Wave on a Graphene-Coated Slab
PhotonicsThis paper focuses on a transmission problem describing the scattering of a TE-wave on a slab having an absolutely conducting wall at the bottom and covered with graphene at the top, accounting for the optical nonlinearity of graphene.
Yury Smirnov, Stanislav Tikhov
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Hypersingular Integral Equations for Crack Problems
, 1989 The investigation of scattering of waves by cracks in an elastic medium and by thin scatterers in an acoustic medium, via analytical and experimental methods, seems to be of continuing importance to nondestructive evaluation. On the analytical side, formulation and numerical solution of crack scattering problems using boundary integral equations is ...
Krishnasamy, G. +3 more
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A Nitsche-based domain decomposition method for hypersingular integral equations [PDF]
Numerische Mathematik, 2012 21 pages, 5 ...
Franz Chouly, Norbert Heuer
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On the Convergence Problem of One-Dimensional Hypersingular Integral Equations [PDF]
Mathematical Problems in Engineering, 2013 Summary: We develop the expansion method of singular integral equation (SIE) for hypersingular integral equation (HSIE). Relating the hypersingular integrals to Cauchy principal-value integrals, we interpolate the kernel and the density functions to the truncated Chebyshev series of the second kind.
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, 2014 Revisiting the author's paper from 1995 on this topic, a fully discrete collocation method is proposed for the hypersingular integral equation arising from the double-layer approach for the solution of Neumann boundary value problems in two dimensions ...
Kress, Rainer
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Enrichment of the Boundary Element Method through the Partition of Unity Method for Fracture Analysis using Local and Global Formulations [PDF]
, 2010 The present thesis proposes an innovative technique of applying enrichment to the Boundary Element Method to allow accurate analysis of 2D crack problems. An overview of fracture mechanics is given, with particular emphasis given to numerical methods and
SIMPSON, ROBERT
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