Results 91 to 100 of about 20,398 (206)

On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

, 2012
Submitted to International Journal of Numerical Analysis and ...
Cangiani A., Chapman J., Georgoulis E. H., Jensen M.   +3 more
openaire   +4 more sources

Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes [PDF]

, 2018
We introduce an $hp$-version symmetric interior penalty discontinuous Galerkin finite element method (DGFEM) for the numerical approximation of the biharmonic equation on general computational meshes consisting of polygonal/polyhedral (polytopic ...
Dong, Zhaonan
core   +2 more sources

Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves

International Journal for Numerical Methods in Fluids, Volume 98, Issue 2, Page 159-173, February 2026.
This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

A Path-Conservative ADER Discontinuous Galerkin Method for Non-Conservative Hyperbolic Systems: Applications to Shallow Water Equations

Mathematics
In this article, we propose a new path-conservative discontinuous Galerkin (DG) method to solve non-conservative hyperbolic partial differential equations (PDEs).
Xiaoxu Zhao, Baining Wang, Gang Li, Shouguo Qian   +3 more
doaj   +1 more source

High Order Discontinuous Galerkin Method [PDF]

, 2007
Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed.
Stamm, Benjamin
core  

Discontinuous Galerkin Methods for Solving Acoustic Problems [PDF]

, 2015
Parciální diferenciální rovnice hrají důležitou v inženýrských aplikacích. Často je možné tyto rovnice řešit pouze přibližně, tj. numericky. Z toho důvodu vzniklo množství diskretizačních metod pro řešení těchto rovnic.
Nytra, Jan
core  

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

Analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains

, 2018
This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains.
Cesmelioglu, Aycil, Horvath, Tamas L., Kirk, Keegan L. A., Rhebergen, Sander   +3 more
core  

A local discontinuous Galerkin method based on variational structure

Discrete & Continuous Dynamical Systems - S, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aimoto, Yoshifumi, Matsuo, Takayasu, Miyatake, Yuto   +2 more
openaire   +2 more sources

Notes on the Discontinuous Galerkin methods for the numerical simulation of hyperbolic equations 1 General Context 1.1 Bibliography

, 2016
The roots of Discontinuous Galerkin (DG) methods is usually attributed to Reed and Hills in a paper published in 1973 on the numerical approximation of the neutron transport equation [18].
Larat, Adam
core   +1 more source