Home Publications Research Grants Inventions & Patents Awards Additional Research Activities Faculties & Institutions Research Areas

A Parallel Hybrid Highly Accurate Elliptic Solver for Viscous Flow Problems

Borchers W, Forestier Y, Kräutle S, Pasquetti R, Peyret R, Rautmann R, Roß N, Sabbah C (1998)

---

Publication Type: Book chapter / Article in edited volumes

Publication year: 1998

Publisher: Springer

Edited Volumes: Numerical Flow Simulation I

Series: Notes on Numerical Fluid Mechanics

City/Town: Berlin Heidelberg

Book Volume: 66

Pages Range: 3-24

ISBN: 978-3-642-53590-1

URI: http://link.springer.com/chapter/10.1007%2F978-3-540-44437-4_1

DOI: 10.1007/978-3-540-44437-4_1

Abstract

We present a new parallel hybrid method to solve numerically elliptic equations on a channel-like domain. The method combines the highly accurate Chebyshev — spectral method with a standard finite difference one, via the CGBI — domain decomposition procedure. By this approach the solution of linear elliptic boundary value problems is reduced to a minimization principle for the unknown Neumann boundary data distributed on the subdomain interfaces. The subdomain solvers are based on Chebyshev spectral / finite difference methods, but finite elements, instead of finite differences, could be used to deal with more complicated geometries.

Authors with CRIS profile

Involved external institutions

How to cite

APA:

Borchers, W., Forestier, Y., Kräutle, S., Pasquetti, R., Peyret, R., Rautmann, R.,... Sabbah, C. (1998). A Parallel Hybrid Highly Accurate Elliptic Solver for Viscous Flow Problems. In Ernst Heinrich Hirschel (Eds.), Numerical Flow Simulation I. (pp. 3-24). Berlin Heidelberg: Springer.

MLA:

Borchers, Wolfgang, et al. "A Parallel Hybrid Highly Accurate Elliptic Solver for Viscous Flow Problems." Numerical Flow Simulation I. Ed. Ernst Heinrich Hirschel, Berlin Heidelberg: Springer, 1998. 3-24.

BibTeX: Download