Error convergence of the Least-Squares Spectral Element formulation of the linear advection-reaction equation

Conference paper (2006)

Authors

W.R. Van Dalen

M.I. Gerritsma

Faculty

Aerospace Engineering (Aerospace Engineering) (TU Delft)

Spectral methods Least-squares formulation Galerkin formulation Advectionreaction equation

To reference this document use:

http://resolver.tudelft.nl/uuid:6d6cebba-ddea-46e4-b0bf-71650484450b

More Info

expand_more

Published Date

08-09-2006

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Source:

ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 5-8, 2006

Faculty

Aerospace Engineering

Abstract

This paper discusses the use of the Least-Squares Spectral Element Method in solving the linear, 1-dimensional advection-reaction equation. Well-posedness of the Least-Squares formulation will be derived. The formulation and its results will be compared to the standard Galerkin Spectral Element Method.

Files

VanDalen_.pdf

(pdf | 0.151 Mb)