Results 101 to 110 of about 121,260 (302)
Mathematics of Computation, 2015 . In this paper, we present the optimal L2-error estimate ofO(hk+1) for polynomial elements of degree k of the semidiscrete direct discontinuous Galerkin method for convection-diffusion equations.
Hailiang Liu
semanticscholar +1 more source
Poroelastic Origins of the Noordbergum Effect
Water Resources Research, Volume 61, Issue 7, July 2025.Abstract The Noordbergum effect refers to temporary rise in hydraulic heads of surrounding observation wells for a short time after starting groundwater withdrawal from a nearby well, before return to the expected declining trend. This effect is herein studied through a poroelastic model of a three‐layer aquifer system comprising a middle aquifer layer
Ehsan Tavakol, Amin Mehrabian
wiley +1 more source
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 7, July 2025.Abstract The nonlinear mechanical responses of rocks and soils to seismic waves play an important role in earthquake physics, influencing ground motion from source to site. Continuous geophysical monitoring, such as ambient noise interferometry, has revealed co‐seismic wave speed reductions extending tens of kilometers from earthquake sources. However,
Zihua Niu +5 more
wiley +1 more source
Modelling and Simulation in Engineering, 2018 This paper describes a numerical model based on discontinuous Galerkin method for thermoacoustic investigation. Numerical investigation was conducted to study the behaviour of thermoacoustic wave propagations induced by thermal effects in 2-dimensional ...
Pranowo Pranowo, Adhika Widyaparaga
doaj +1 more source
Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems
International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.ABSTRACT Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous‐time analog to discrete neural networks. Despite their promise, deploying neural ODEs in practical applications often encounters the challenge of stiffness, a condition where ...
Matteo Caldana, Jan S. Hesthaven
wiley +1 more source
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.
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A cut discontinuous Galerkin method for the Laplace-Beltrami operator [PDF]
, 2015 We develop a discontinuous cut finite element method for the Laplace–Beltrami operator on a hypersurface embedded in R.
E. Burman +3 more
semanticscholar +1 more source
A High‐Order Hybrid‐Spectral Incompressible Navier–Stokes Model for Non‐Linear Water Waves
International Journal for Numerical Methods in Fluids, Volume 97, Issue 6, Page 1009-1021, June 2025.We present a high‐order accurate CFD model for simulating nonlinear water waves using the incompressible Navier–Stokes equations. The model employs a combined Chebyshev–Fourier basis for efficient spatial discretization, and a low‐storage fourth‐order Runge–Kutta method for temporal integration. A Poisson pressure problem is solved using a geometric p$$
Anders Melander +3 more
wiley +1 more source
A discrete-ordinate discontinuous-streamline diffusion method for the radiative transfer equation
, 2016 The radiative transfer equation (RTE) arises in many different areas of science and engineering. In this paper, we propose and investigate a discrete-ordinate discontinuous-streamline diffusion (DODSD) method for solving the RTE, which is a combination ...
Han, Weimin, Sheng, Qiwei, Wang, Cheng
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 10, 30 May 2025.ABSTRACT This work presents a hybrid pressure face‐centred finite volume (FCFV) solver to simulate steady‐state incompressible Navier‐Stokes flows. The method leverages the robustness, in the incompressible limit, of the hybridisable discontinuous Galerkin paradigm for compressible and weakly compressible flows to derive the formulation of a novel, low‐
Matteo Giacomini +4 more
wiley +1 more source