Results 61 to 70 of about 8,904 (236)

High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling [PDF]

, 2014
Copyright @ 2014 The Authors. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.We revisit a method ...
Mark P Brewin, Shuhua Hu, Simon Shaw, Carola Kruse, Birch, MJ, Zackary R Kenz, Kruse, C, Brewin, MP, John R Whiteman, Maischak, M, Banks, HT, Malcolm J Birch, H. T. Banks, Stephen E Greenwald, Greenwald, SE, Kenz, ZR, Matthias Maischak, Whiteman, JR, Hu, S, Shaw, S   +19 more
core   +1 more source

Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws

مجلة المختار للعلوم, 2017
The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
doaj   +1 more source

Multi‐Goal‐Oriented Anisotropic Error Control and Mesh Adaptivity for Time‐Dependent Convection‐Dominated Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer, Nils Margenberg, Ioannis Toulopoulos, Thomas Wick   +5 more
wiley   +1 more source

Slat Noise Prediction using Discontinuous Galerkin Method and Stochastic Turbulent Sound Source

, 2010
A promising way to predict airframe noise is the numerical solution of the Acoustic Perturbation Equations (APE) with the help of the Discontinuous Galerkin Method (DGM) and the Fast Random Particle Mesh (FRPM) method.
Marcus Bauer, Roland Ewert, Bauer, Marcus, Ewert, Roland   +3 more
core   +1 more source

Compact embeddings of broken Sobolev spaces and applications [PDF]

, 2009
In this paper, we present several extensions of theoretical tools for the analysis of discontinuous Galerkin (DG) method beyond the linear case.
Buffa, Annalisa, Ortner, Christoph
core   +1 more source

Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review

Photonics, 2023
Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields.
Yansheng Gong, Na Liu
doaj   +1 more source

Two‐Phase Flow Simulations for Injection Molding Applications: Comparison between COMSOL Multiphysics and XNS In‐House Solver

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Injection molding is a manufacturing process for plastic components where precise geometries and part properties, such as local strength and stiffness, are critical. The mold filling phase, during which the hot molten polymer is rapidly injected into the cooled mold cavity, presents significant simulation challenges due to steep temperature ...
Blanca Ferrer Fabón, Jonathan Alms, Marek Behr, Christian Hopmann   +3 more
wiley   +1 more source

Discontinuous Galerkin methods for computational aerodynamics - 3D adaptive flow simulation with the DLR PADGE code

, 2010
Over the last years, the discontinuous Galerkin method (DGM) has demonstrated its excellence in accurate, high-order numerical simulations for a wide range of applications in computational physics.
Ralf Hartmann, Tobias Leicht, Prill, Florian, Leicht, Tobias, Held, Joachim, Joachim Held, Hartmann, Ralf   +6 more
core   +1 more source

A High-Order Discontinuous Galerkin Method for Solving Preconditioned Euler Equations

Applied Sciences, 2022
A high-order discontinuous Galerkin (DG) method is presented for solving the preconditioned Euler equations with an explicit or implicit time marching scheme.
Huanqin Gao, Jiale Zhang, Hongquan Chen, Shengguan Xu, Xuesong Jia   +4 more
doaj   +1 more source

Analysis of a Viscoplastic Burgers Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
wiley   +1 more source