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MMPDE vs. SGWMFE experiments in one dimension.

By Abigail Wacher

Abstract

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

Publisher: Oxford University Computing Laboratory
Year: 2005
OAI identifier: oai:dro.dur.ac.uk.OAI2:7915

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  1. (1985). On The Structure Of The Moving Finite-Element Equations . doi
  2. (2004). String Gradient Weighted Moving Finite Elements For Systems of Partial Differential Equations . DPhil thesis, doi
  3. (2003). String Gradient Weighted Moving Finite Elements For Systems of Partial Differential Equations I . Numerical Analysis internal report 03/15 .

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