𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A higher-order covolume method for planar div–curl problems

✍ Scribed by Roy Nicolaides; Da-Qing Wang


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
93 KB
Volume
31
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis


Covolume methods constitute a generalization to unstructured meshes of classical staggered mesh techniques. In this paper, a fourth-order method is proposed and it is proved rigorously that the order is indeed 4 in a standard norm. This result is for structured meshes only, and for div -curl equations in two-dimensional space.


📜 SIMILAR VOLUMES


A higher-order accurate Petrov-Galerkin
✍ MacKinnon, R. J. ;Johnson, R. W. ;Langerman, M. A. 📂 Article 📅 1992 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 311 KB 👁 2 views

We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r

Higher order finite element methods and
✍ Volker John 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB 👁 1 views

## Abstract This paper presents a numerical study of the 3D flow around a cylinder which was defined as a benchmark problem for the steady state Navier–Stokes equations within the DFG high‐priority research program __flow simulation with high‐performance computers__ by Schafer and Turek (Vol. 52, V