Results 31 to 40 of about 2,628 (194)
Multicontinuum Homogenization for Poroelasticity Model
International Journal for Numerical Methods in Fluids, EarlyView.This work derives a generalized multicontinuum poroelasticity model using the multicontinuum homogenization method to enable accurate coarse‐grid simulations of coupled flow–mechanics processes in highly heterogeneous porous media. Coupled constraint cell problems are formulated, and the corresponding multicontinuum equations are rigorously derived ...
Dmitry Ammosov +2 more
wiley +1 more source
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електронікаActuality. Recent decades have seen a rapid development of photonics. Therefore, scientific interest in the optical range of electromagnetic radiation continues to be relevant.
О.V. Kazanko +3 more
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
Modeling of turbulent fluid flow based on the solution of the Mathieu equation
Вестник Дагестанского государственного технического университета: Технические наукиObjective. This work examines the problem of fluid flow simulation in a turbulent regime. The main reasons why turbulent flow occurs are due to the existence of high velocities of movement in fluids; besides that, there may be obstacles or changes in the
V. V. Garbuzov, A. P. Preobrazhensky
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Flexible specification of directional spatial processes for eigenvector maps
Methods in Ecology and Evolution, EarlyView.Abstract Understanding spatial structure is crucial when analysing species distributions, biodiversity and community dynamics. Spatial analysis using eigenvector maps provides a general framework for capturing spatial patterns in ecological data. Among these methods, asymmetric eigenvector maps (AEM) are particularly useful for capturing asymmetric ...
Shota Homma +3 more
wiley +1 more source
Geometrical Structure of Laplacian Eigenfunctions [PDF]
SIAM Review, 2013 70 pages, 22 ...
Denis S. Grebenkov, B.-T. Nguyen
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Basis Properties of Fučík Eigenfunctions
Analysis Mathematica, 2022 We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
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2D Piecewise Linear Scalar Fields with Invertible Integral Lines
Computer Graphics Forum, EarlyView.Abstract Integral lines of the gradient flow are standard features in continuously differentiable scalar fields that enjoy some useful properties: They cover the domain densely, do not split, merge, or intersect, and are therefore invertible. For widely used discretizations of scalar fields, the corresponding polygonal approximations of integral lines ...
T.L. Erxleben +3 more
wiley +1 more source
Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions [PDF]
Mathematics Interdisciplinary Research, 2016 In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second ...
Seyfollah Mosazadeh
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Mathematics, 2023 This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
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