Discrete Gradient Moving Mesh solver for the 1D KdV equation
Recommended packages/tools:
None.
This code is meant as a supplement to [1] , and is an implementation of a moving mesh energy preserving solver using the Average Vector Field (AVF) discrete gradient and finite elements for spatial discretization. Please refer to [1] if this code is used in a project.
To get started, open the KdV_demo.m file and read the commented code there.
This is the first release, so if you have comments and suggestions for improvements, please contact me and I will try to accommodate them.
[1] Eidnes, Sølve, Brynjulf Owren, and Torbjørn Ringholm. "Adaptive energy preserving methods for partial differential equations." Advances in Computational Mathematics (2017): 1-25.