๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport

โœ Scribed by Machorro, Eric A.


Book ID
118184697
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
529 KB
Volume
48
Category
Article
ISSN
0036-1429

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A posteriori discontinuous finite elemen
โœ Slimane Adjerid; Thomas C. Massey ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1011 KB

We analyze the discontinuous finite element errors associated with p-degree solutions for two-dimensional first-order hyperbolic problems. We show that the error on each element can be split into a dominant and less dominant component and that the leading part is Oรฐh pรพ1 รž and is spanned by two (p รพ

A New Interface Method for Hyperbolic Pr
โœ Joรซl Piraux; Bruno Lombard ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

A new numerical method, called the explicit simplified interface method (ESIM), is developed in the context of acoustic wave propagation in heterogeneous media. Equations of acoustics are written as a first-order linear hyperbolic system. Apart from interfaces, a standard scheme (Lax-Wendroff, TVD,

A discontinuous quadratic finite element
โœ Xiao-Liang Cheng ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 185 KB

In this paper, we discuss the discontinuous quadratic finite element method for onedimensional diffusion problems. We prove the stability for the polynomial basis functions of degree = 2, which is indicated by numerical experiments in the recent paper of Babu~ka, Baumann and Oden [1]. ~