Moving Mesh Method for Singular Problems
Numerical solution of many problems
requires small grid size over a portion of the physical domain to resolve
large solution variations. Using a uniform mesh for these problems is formidable when the
system involves two or more spatial dimensions.
In the adaptive mesh method, the total number of grid points is fixed while their locations
change according to
the evolution of the physical system - the grid points move towards the regions
where large solution variations develop.
We developed an efficient grid redistribution method in multiple dimensions and
applied the method to study the self-focusing phenomenon of the non-linear Schrodinger equation.
WEIQING REN Last modified: Mon Dec 3 20:59:37 EST 2007