The Mathematical Institute, University of Oxford, Eprints Archive

Stability of the Lagrange-Galerkin method: the performance of quadrature in theory and practice

Jack, R. O. (1988) Stability of the Lagrange-Galerkin method: the performance of quadrature in theory and practice. Technical Report. Unspecified. (Submitted)

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Abstract

We investigate the stability properties of the Lagrange-Galerkin method using quadrature for both linear and quadratic elements. We find the regions of instability for various types of quadrature for linear advection in one dimension, and then perform numerical experiments on two test problems to assess the implications of these results for practical situations. The first problem is the familiar rotating cone problem and the second is advection in the flow field generated by the driven cavity problem.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1350
Deposited By:Lotti Ekert
Deposited On:23 Jul 2011 09:10
Last Modified:23 Jul 2011 09:10

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