Results 91 to 100 of about 22,455 (230)

Local discontinuous Galerkin methods for the Stokes system

, 2000
SAM Research Report, 2000 ...
Cockburn, B., Kanschat, Guido, Schötzau, Dominik, Schwab, Christoph   +3 more
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A massive MPI parallel framework of 3D local discontinuous Galerkin method for simulating large-scale underwater explosion problems

Applied Ocean Research
The discontinuous Galerkin method (DGM) has showed appealing performances in addressing underwater explosion (UNDEX) problems with strong discontinuities.
Zhaoxu Lian, Wenbin Wu, Moubin Liu
doaj   +1 more source

A Parallel-GPU DGTD Algorithm with a Third-Order LTS Scheme for Solving Multi-Scale Electromagnetic Problems

Mathematics
This paper presents a novel parallel-GPU discontinuous Galerkin time domain (DGTD) method with a third-order local time stepping (LTS) scheme for the solution of multi-scale electromagnetic problems.
Marlon J. Lizarazo, Elson J. Silva
doaj   +1 more source

An algorithm for stabilizing hybridizable discontinuous Galerkin methods for nonlinear elasticity

Results in Applied Mathematics, 2019
It is now a well known fact that hybridizable discontinuous Galerkin for nonlinear elasticity may not converge to the exact solution if their inter-element jumps are not properly penalized or, equivalently, if the values of their stabilization function ...
Bernardo Cockburn, Jiguang Shen
doaj   +1 more source

A Local Discontinuous Galerkin Method for the Propagation of Phase Transition in Solids and Fluids

Journal of Scientific Computing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lulu Tian, Yan Xu 0008, J. G. M. Kuerten, Jaap J. W. van der Vegt   +3 more
openaire   +4 more sources

Local Discontinuous Galerkin Methods Coupled with Implicit Integration Factor Methods for Solving Reaction-Cross-Diffusion Systems

Discrete Dynamics in Nature and Society, 2016
We present a new numerical method for solving nonlinear reaction-diffusion systems with cross-diffusion which are often taken as mathematical models for many applications in the biological, physical, and chemical sciences.
Na An, Xijun Yu, Chaobao Huang, Maochang Duan   +3 more
doaj   +1 more source

Equivalence Between DFR Method and LDG Method for Solving Linear Third-Order KdV Equation

Journal of Harbin University of Science and Technology
The equivalence between direct flux reconstruction method and local discontinuous Galerkin method in solving linear third-order KdV equation is studied.
BI Hui, LI Xiaotong
doaj   +1 more source

The LDG Finite-Element Method for Multi-Order FDEs: Applications to Circuit Equations

Fractal and Fractional
The current research study presents a comprehensive analysis of the local discontinuous Galerkin (LDG) method for solving multi-order fractional differential equations (FDEs), with an emphasis on circuit modeling applications.
Mohammad Izadi, Hari Mohan Srivastava, Mahdi Kamandar   +2 more
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PHYSICAL FEATURES OF THE PROCESSES OF DEFORMATION AND DESTRUCTION OF THE MATERIAL BY THE FINITE NODE METHOD

Надежность и качество сложных систем
Background. In this article, deformations and destruction of the composite sleeve material in the contact area of two different materials (steel and polyamide) are studied using a mathematical model of the Galerkin discontinuous method. The peculiarity
A.I. Godunov, S.A. Kukanov, D.V. Baklanov   +2 more
doaj   +1 more source

A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods

ESAIM: Mathematical Modelling and Numerical Analysis
We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid discontinuous Galerkin approaches and combine them with the localized orthogonal decomposition methodology to obtain a coarse-scale skeletal method that effectively includes fine-
Peipei Lu, Roland Maier, Andreas Rupp
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