Results 31 to 40 of about 2,893 (187)

The Dual Characteristic-Galerkin Method

Comptes Rendus. Mathématique
The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and L 2 -stability in the case ...
Hecht, Frédéric, Pironneau, Olivier
openaire   +4 more sources

Modeling proppant transport and settling in a 3D propagating fracture

Deep Underground Science and Engineering, EarlyView.
A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert, Aimé Fournier, Wencheng Jin   +2 more
wiley   +1 more source

A multilevel discontinuous Galerkin method [PDF]

Numerische Mathematik, 2003
With extended references to the major papers on the subject, this work analyzes mathematically multigrid techniques for two discontinuous Galerkin methods: one for elliptic problems and a second one for singular perturbed advection-diffusion problems. In the former case, the analysis predicts convergence rates of the multigrid method independent of the
Jay Gopalakrishnan, Guido Kanschat
openaire   +3 more sources

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, EarlyView.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

Employing the Moving Least‐Squares Aided Finite Element Method to Study Heat Transfer Phenomenon in Closed‐Cell Polymeric Foam

International Journal for Numerical Methods in Fluids, EarlyView.
Employing the moving least‐squares aided finite element method (MLS‐FEM) allows detailed thermal analysis in complex porous structures, such as polymeric foams, where the conductive heat transfer mechanism governs in the solid matrix and the convective mechanism dominates within the gas‐filled voids.
Mehdi Mostafaiyan, Sven Wiessner, Andreas Leuteritz   +2 more
wiley   +1 more source

Revealing the Resonant Physics of Open Photonic Time Crystals

Laser &Photonics Reviews, EarlyView.
ABSTRACT Photonic time crystals (PTCs) are media whose permittivity is modulated periodically in time, enabling momentum bandgaps and parametric amplification of light. Their realization at the nanoscale can revolutionize the study of light‐matter interactions.
Adrià Canós Valero, Sergei Gladyshev, David Globosits, Stefan Rotter, Egor A. Muljarov, Thomas Weiss   +5 more
wiley   +1 more source

Spectral Galerkin Methods for Riesz Space-Fractional Convection–Diffusion Equations

Fractal and Fractional
This paper applies the spectral Galerkin method to numerically solve Riesz space-fractional convection–diffusion equations. Firstly, spectral Galerkin algorithms were developed for one-dimensional Riesz space-fractional convection–diffusion equations ...
Xinxia Zhang, Jihan Wang, Zhongshu Wu, Zheyi Tang, Xiaoyan Zeng   +4 more
doaj   +1 more source

Assessment of mesh orientation, Arbitrary‐Lagrangian‐Eulerian remeshing and mass scaling in 3D finite‐element modeling of thread‐forming screw connections Bewertung der Netzausrichtung, Arbitrary‐Lagrangian‐Eulerian‐Neuvernetzung und Massenskalierung bei der 3D‐Finite‐Elemente‐Modellierung von gewindefurchenden Schraubverbindungen

Materialwissenschaft und Werkstofftechnik, EarlyView.
An approach to quantify the mesh quality for simulations of bolted joints with formed female threads has been conducted for different meshing strategies. Depending on mesh orientation, Arbitrary‐Lagrangian‐Eulerian remeshing and mass scaling the quotient qH was evaluated.
T. Binder, P. Reining, M. Klein, M. Oechsner   +3 more
wiley   +1 more source

Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

Advanced Modeling and Simulation in Engineering Sciences, 2019
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source