Results 51 to 60 of about 28,118,061 (306)

The Extended Galerkin Method for Approximate Solutions of Nonlinear Vibration Equations

open access: yesApplied Sciences, 2022
An extension has been made to the popular Galerkin method by integrating the weighted equation of motion over the time of one period of vibrations to eliminate the harmonics from thee deformation function.
Ji Wang, Rongxing Wu
doaj   +1 more source

A review of multiscale numerical modeling of rock mechanics and rock engineering

open access: yesDeep Underground Science and Engineering, EarlyView.
Multiscale numerical methods of rock mechanics and rock engineering are reviewed, and the review results show that more attention should be paid to the development of an advanced constitutive model in addition to numerical techniques themselves. Abstract Rock is geometrically and mechanically multiscale in nature, and the traditional phenomenological ...
Xindong Wei, Zhe Li, Gaofeng Zhao
wiley   +1 more source

A Numerical Comparison of Eigenfunction Matching and Singularity-Respecting Galerkin Approximation Methods for Linear Water Wave Scattering

open access: yesJournal of Marine Science and Engineering
The 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

The Improved Element-Free Galerkin Method for 3D Helmholtz Equations

open access: yesMathematics, 2021
The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
doaj   +1 more source

Failure characteristics analysis of the inclined interlayer during water‐soluble cavity construction of underground salt caverns for large‐scale energy storage

open access: yesDeep 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

High Order Discontinuous Galerkin Method [PDF]

open access: yes, 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  

Optimal Error Estimates of Galerkin Finite Element Methods for Stochastic Partial Differential Equations with Multiplicative Noise

open access: yes, 2011
We consider Galerkin finite element methods for semilinear stochastic partial differential equations (SPDEs) with multiplicative noise and Lipschitz continuous nonlinearities.
Kruse, Raphael
core   +1 more source

A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential
A. A. Tsupak
doaj   +1 more source

Flexoelectric Effects of Nanoscale Electrical Materials Under Dynamic Conditions

open access: yesEnergy Science &Engineering, EarlyView.
ABSTRACT Material flexoelectricity is due to strain gradients at the material's small dimensions, and nanoelectronics more precisely enhances the heightened sensitivity at this reduced scale. Below, the study presents a sensitivity analysis in active applications, such as sensors and actuators, to these effects, focusing on how flexoelectricity ...
Enaam Abdul khaliq Ali, Nadhim M. Faleh
wiley   +1 more source

Some approximate buckling solutions of triple-walled carbon nanotube

open access: yesVietnam Journal of Mechanics, 2022
The present investigation analyses the critical buckling studies of triple-walled carbon nanotube using the Euler─Bernoulli model. The present study deals with three different boundary conditions, namely, simply-simply, clamped-clamped, and clamped ...
V. Senthilkumar
doaj   +1 more source

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