Results 51 to 60 of about 8,125 (187)

-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj  

Exact Dirichlet boundary multi‐resolution hash encoding solver for structures

Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 25, Page 4172-4192, 20 October 2025.
Abstract Designed to address computationally expensive scientific problems, physics‐informed neural networks (PINNs) have primarily focused on solving issues involving relatively simple geometric shapes. Drawing inspiration from exact Dirichlet boundary PINN and neural representation field, this study first develops a multi‐resolution hash encoding ...
Xiaoge Tian, Jiaji Wang, Xinzheng Lu
wiley   +1 more source

Numerical Simulation of Thermoacoustic Wave Induced by Thermal Effects by Using Discontinuous Galerkin Method

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

Robust and Efficient FFT‐Based Solvers for Unit‐Cell Problems With Voids and Pores Under Displacement Boundary Conditions

International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.
ABSTRACT There is a variety of microstructured materials that involve voids and pores, for example, high‐porosity foams, mechanical metamaterials, or composites involving defects due to damage and cracking, respectively. Computational methods based on the fast Fourier transform (FFT) typically face convergence problems for such microstructures unless ...
Lennart Risthaus, Matti Schneider
wiley   +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

A h‐Adaptivity Strategy for Hybridizable Discontinuous Galerkin (HDG) Simulations of Fluid Transport Models in Tokamak Plasma

International Journal for Numerical Methods in Engineering, Volume 126, Issue 17, 15 September 2025.
ABSTRACT The highly anisotropic, multi‐scale nature of fusion plasma simulations in tokamaks, combined with the complexity in the geometries of plasma‐facing components and magnetic equilibrium, challenges numerical schemes. They therefore require the development of advanced numerical techniques to enhance computational efficiency and enable codes to ...
Marcello Capasso, Ivan Kudashev, Frédéric Schwander, Éric Serre   +3 more
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.
doaj   +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  

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

Deep Underground Science and Engineering, Volume 4, Issue 3, Page 382-405, September 2025.
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

Description and Convergence Order Analysis of the Finite Element‐Volume Spatial Discretization Method

International Journal for Numerical Methods in Fluids, Volume 97, Issue 9, Page 1189-1208, September 2025.
This article presents the principles of Finite Element‐Volume discretization and conducts an analysis of its properties and convergence orders. The discretization ensures local mass conservation, second‐order convergence for velocity, and first‐order convergence for pressure.
Maria Adela Puscas, Pierre‐Emmanuel Angeli, Nathalie Nouaime, Erell Jamelot   +3 more
wiley   +1 more source