𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A discontinuous-Galerkin-based immersed boundary method

✍ Scribed by Adrián J. Lew; Gustavo C. Buscaglia

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
598 KB
Volume
76
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is introduced. The proposed method is conceptually simple and free of user‐defined parameters. Starting with a conforming finite element mesh, the key ingredient is to switch those elements intersected by the Dirichlet boundary to a discontinuous‐Galerkin approximation and impose the Dirichlet boundary conditions strongly. By virtue of relaxing the continuity constraint at those elements, boundary locking is avoided and optimal‐order convergence is achieved. This is shown through numerical experiments in reaction–diffusion problems. Copyright © 2008 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

A new discontinuous Galerkin method for
A new discontinuous Galerkin method for Kirchhoff plates
✍ Jianguo Huang; Xuehai Huang; Weimin Han 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 534 KB

A general framework of constructing C 0 discontinuous Galerkin (CDG) methods is developed for solving the Kirchhoff plate bending problem, following some ideas in (Castillo et al., 2000) [10] and (Cockburn, 2003) [12]. The numerical traces are determined based on a discrete stability identity, which

A discontinuous Galerkin method for the
A discontinuous Galerkin method for the wave equation
✍ Slimane Adjerid; Helmi Temimi 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 685 KB

## a b s t r a c t We present a new discontinuous Galerkin method for solving the second-order wave equation using the standard continuous finite element method in space and a discontinuous method in time directly applied to second-order ode systems. We prove several optimal a priori error estimate