𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the coupling of finite volume and discontinuous Galerkin method for elliptic problems

✍ Scribed by Prince Chidyagwai; Ilya Mishev; Béatrice Rivière

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
976 KB
Volume
235
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

The coupling of cell-centered finite volume method with primal discontinuous Galerkin method is introduced in this paper for elliptic problems. Convergence of the method with respect to the mesh size is proved. Numerical examples confirm the theoretical rates of convergence. Advantages of the coupled scheme are shown for problems with discontinuous coefficients or anisotropic diffusion matrix.

📜 SIMILAR VOLUMES

Discontinuous Galerkin finite volume ele
Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
✍ Sarvesh Kumar; Neela Nataraj; Amiya K. Pani 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 191 KB

## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second‐order linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^‐ norms are derived. Numerical results

The discontinuous Petrov–Galerkin method
The discontinuous Petrov–Galerkin method for elliptic problems
✍ Carlo L. Bottasso; Stefano Micheletti; Riccardo Sacco 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 282 KB

We propose a novel discontinuous mixed finite element formulation for the solution of second-order elliptic problems. Fully discontinuous piecewise polynomial finite element spaces are used for the trial and test functions. The discontinuous nature of the test functions at the element interfaces all

A stabilized discontinuous finite elemen
A stabilized discontinuous finite element method for elliptic problems
✍ Richard E. Ewing; Junping Wang; Yongjun Yang 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 167 KB

## Abstract A new finite element method is proposed and analysed for second order elliptic equations using discontinuous piecewise polynomials on a finite element partition consisting of general polygons. The new method is based on a stabilization of the well‐known primal hybrid formulation by usin