Results 91 to 100 of about 8,904 (236)

Comparison of DDFV and DG Methods for Flow in Anisotropic Heterogeneous Porous Media

Oil & Gas Science and Technology, 2014
We present a preliminary work to simulate gas injection in deep aquifers. Unsteady single-phase flows are considered. We compare Discrete Duality Finite Volume (DDFV, Discrete Duality Finite Volume) and Discontinuous Galerkin (DG, Discontinuous Galerkin)
Baron V., Coudière Y., Sochala P.
doaj   +1 more source

Application of discontinuous Galerkin method for solving a compressible five-equation two-phase flow model

Results in Physics, 2018
In this article, a reduced five-equation two-phase flow model is numerically investigated. The formulation of the model is based on the conservation and energy exchange laws. The model is non-conservative and the governing equations contain two equations
M. Rehan Saleem, Ishtiaq Ali, Shamsul Qamar   +2 more
doaj   +1 more source

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 7, Page 3256-3273, May 2026.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

FEM‐Peridynamic Modelling of Supershear Earthquake Ruptures in Dry and Fluid‐Saturated Media

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Since ground shaking increases with rupture speed during earthquakes, the velocity transition from sub‐Rayleigh to supershear in mode II fracture is crucial for the propagation of seismic ruptures and associated strong ground motions. We employ a newly conceived 2‐dimensional hybrid Finite Element Method and Peridynamic (FEM/PD‐2D) model to ...
Yongkang Shu, Zhenzhong Shen, Tao Ni, Manuele Faccenda, Ugo Galvanetto, Giulio Di Toro, Bernhard A. Schrefler   +6 more
wiley   +1 more source

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods

, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

Asperity‐Driven Cascading Rupture of a Mw 1.6 Induced Microearthquake

Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.
Abstract Studies of small earthquake (M < 2) rupture processes traditionally rely on simplified models that assume symmetric slip or point sources. Using an exceptionally dense seismic network and empirical Green's function (EGF) analysis, we investigate the complex rupture of a Mw 1.6 microearthquake induced by hydraulic fracturing.
Xinxing Chen, Haichao Chen, Fenglin Niu, Xiaobo Meng   +3 more
wiley   +1 more source

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  

Comparison of high-order methods on unstructured grids [PDF]

, 2013
A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
core  

A highly accurate discontinuous Galerkin method for solving nonlinear Bratu's problem

Alexandria Engineering Journal
In this manuscript, we present an innovative approach to address nonlinear Bratu's problem by applying the Discontinuous Galerkin method. Our method accurately computes two-branched numerical solutions of the problem.
H. Temimi, M. Ben-Romdhane
doaj   +1 more source

Preconditioning GMRES for discontinuous Galerkin approximations

Computer Assisted Methods in Engineering and Science, 2023
The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
doaj