MMPDE vs. SGWMFE Experiments in one dimension

Wacher, Abigail

MMPDE vs. SGWMFE Experiments in one dimension

Wacher, Abigail

Authors

Abigail Wacher

Abstract

We compare experimentally Moving Mesh Partial Differential Equations (Huang et al. (1994)) to the String Gradient Weighted Moving Finite Element Method (Wacher et al. (2003)) applied to the viscous Burgers equation and to the porous medium equation in one dimension. The methods are tested on a travelling wave solution, the Barenblatt solution of the porous medium equation and on one of the waiting time solution discovered by Lacey (1983).

Citation

Wacher, A. (2005). MMPDE vs. SGWMFE Experiments in one dimension. [No known commissioning body]

Report Type	Technical Report
Publication Date	2005-10
Deposit Date	Jan 26, 2011
Publicly Available Date	Feb 21, 2011
Series Title	Oxford University Computing Laboratory report 05/21
Publisher URL	ftp://ftp.comlab.ox.ac.uk/pub/Documents/techreports/NA-05-21.pdf
Additional Information	Department Name: Computing Laboratory University Name: Oxford University Publisher: Oxford University Computing Laboratory Type: monograph Subtype: technical_report