Results 51 to 60 of about 625,960 (181)

Chaotic convection in a rotating fluid layer

Alexandria Engineering Journal, 2015
A study of thermal convection in a rotating fluid layer is investigated based on the dynamical systems approach. A system of differential equation like Lorenz model has been obtained by using Galerkin-truncated approximation.
Vinod K. Gupta, B.S. Bhadauria, I. Hasim, J. Jawdat, A.K. Singh   +4 more
doaj   +1 more source

A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei, Md Shumon Mia, Ahmed E. Elbanna, Jinhyun Choo   +3 more
wiley   +1 more source

A finite element/polynomial spectral mixed approximation for the Stokes problem

Results in Applied Mathematics
A mixed Galerkin approximation for the Stokes problem is proposed. The finite element approximation is used for the velocity and the polynomial spectral approximation for pressure.
Shinya Uchiumi
doaj   +1 more source

Stability-preserving model order reduction for linear stochastic Galerkin systems

Journal of Mathematics in Industry, 2019
Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
doaj   +1 more source

Comparative Analysis of Post‐Buckling Torsional Response in Carbon/Aramid Hybrid and Carbon Fiber Composites: Experimental Evaluation of Synergistic Effects Beyond Macro‐Scale Modeling Limits

Polymer Composites, EarlyView.
Post‐buckling torsional response of carbon fiber (a) and intraply carbon/aramid hybrid (b) composites, revealing yarn‐level interaction beyond macro‐scale modeling limits. ABSTRACT This study investigates the buckling and post‐buckling performance of Carbon Fiber Reinforced Epoxy (CFRE) and intraply Carbon/Aramid Fabric Reinforced Epoxy (C/AFRE ...
G. E. Guloglu, B. Akış
wiley   +1 more source

Finite Element Approximations for a linear Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise [PDF]

, 2012
We consider an initial- and Dirichlet boundary- value problem for a linear Cahn-Hilliard-Cook equation, in one space dimension, forced by the space derivative of a space-time white noise.
Zouraris, Georgios, Kossioris, Georgios
core  

Distributional derivatives and stability of discontinuous Galerkin finite element approximation methods

Electronic Journal of Differential Equations, 2016
The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj  

Tensor‐Based Reduction of Linear Parameter‐Varying State‐Space Models

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The linear parameter‐varying (LPV) framework is a powerful tool for controlling nonlinear (NL) and complex systems, but the conversion of NL models into LPV forms often results in high‐dimensional and overly conservative LPV models. To be able to apply control strategies, there is often a need for model reduction in order to reduce ...
Bogoljub Terzin, E. Javier Olucha, Amritam Das, Siep Weiland, Roland Tóth   +4 more
wiley   +1 more source

Volume Quantization with Flexible Singularities for Hexahedral Meshing

Computer Graphics Forum, EarlyView.
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley   +1 more source

Computing Bounds on the Eigenvalues of the Preconditioned X‐FFT System in 3D Linear Elastic Homogenization

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The previously introduced X‐FFT solver permits solving three‐dimensional linear elastic homogenization problems with high accuracy and efficiency. Due to the extended finite element discretization (X‐FEM), matrix‐inclusion problems may be approximated with the error convergence of interface‐conforming finite elements.
Flavia Gehrig, Matti Schneider
wiley   +1 more source