Results 51 to 60 of about 96,751 (277)
Advanced Theory and Simulations, EarlyView.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
wiley +1 more source
Journal of Marine Science and EngineeringThe convergence of two numerical methods for solving linear water wave scattering problems, namely the eigenfunction matching method (EMM) and the singularity-respecting Galerkin approximation (SRGA), is examined. To do so, the methods are applied to two
Ben Wilks, Michael H. Meylan
doaj +1 more source
Wavelet Galerkin method for fractional elliptic differential equations [PDF]
, 2014 Under the guidance of the general theory developed for classical partial differential equations (PDEs), we investigate the Riesz bases of wavelets in the spaces where fractional PDEs usually work, and their applications in numerically solving fractional ...
Deng, Weihua +2 more
core
, 2014 In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
core +1 more source
AIChE Journal, EarlyView.Abstract In this study, various adsorption models using neural networks were developed and integrated into a mechanistic chromatography transport model, resulting in hybrid models. A systematic screening of 10 different hybrid model structures was performed to find the optimal balance between mechanistic and data‐driven components in modeling ...
Jesper Frandsen +6 more
wiley +1 more source
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
High Order Discontinuous Galerkin Method [PDF]
, 2007 Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed.
Stamm, Benjamin
core
Deep Underground Science and Engineering, EarlyView.In the process of water‐soluble cavern construction of salt cavern energy storage, since the interlayer does not dissolve in water easily, sudden collapse will cause engineering accidents such as bending and damage of the inner tube of the cavern.
Zenghui Zhao +5 more
wiley +1 more source
Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems
Abstract and Applied Analysis, 2014 The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh.
Ailing Zhu, Qiang Xu, Ziwen Jiang
doaj +1 more source
Approximating Stochastic Evolution Equations with Additive White and Rough Noises
, 2017 In this paper, we analyze Galerkin approximations for stochastic evolution equations driven by an additive Gaussian noise which is temporally white and spatially fractional with Hurst index less than or equal to $1/2$.
Cao, Yanzhao, Hong, Jialin, Liu, Zhihui
core +2 more sources