𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Discontinuous hp -Finite Element Methods for Advection-Diffusion-Reaction Problems

✍ Scribed by Houston, Paul; Schwab, Christoph; Süli, Endre

Book ID
118190253
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
333 KB
Volume
39
Category
Article
ISSN
0036-1429

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Characteristic mixed discontinuous finit
Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems
✍ Zhangxin Chen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 270 KB

In this paper three characteristic mixed discontinuous finite element methods are introduced for time dependent advection-dominated diffusion problems. Namely, the diffusion term in these problems is discretized using mixed discontinuous finite elements, and the temporal differentiation and advectio

A discontinuous hp finite element method
A discontinuous hp finite element method for diffusion problems: 1-D analysis
✍ I. Babuška; C.E. Baumann; J.T. Oden 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 873 KB

This paper presents the mathematical analysis of a new variant of the discontinuous Galerkin method which is applicable to the numerical solution of diffusion problems, not requiring auxiliary variables such as those used in mixed methods. The focus of this study is on a class of linear second-order

Characteristic-nonconforming finite-elem
Characteristic-nonconforming finite-element methods for advection-dominated diffusion problems
✍ Zhangxin Chen 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 709 KB

In this paper characteristic-nonconforming finite-element methods are studied for time dependent advection-dominated diffusion problems. The diffusion term in these problems is discretized using nonconforming finite elements, and the temporal differentiation and advection terms are treated by charac

Stabilized finite element methods with s
Stabilized finite element methods with shock capturing for advection–diffusion problems
✍ T Knopp; G Lube; G Rapin 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 233 KB

Stabilized FEM of streamline-diffusion type for advection-diffusion problems may exhibit local oscillations in crosswind direction(s). As a remedy, a shock-capturing variant of such stabilized schemes is considered as an additional consistent (but nonlinear) stabilization. We prove existence of disc