Moving mesh methods with upwinding schemes for time-dependent PDEs
A combination of moving meshes and upwinding schemes is considered for tracking the shock or steep wave front in the solution of partial differential equations. Several upwinding schemes are applied for uniform meshes. A self-adapting moving mesh method is also described. It is shown that the local piecewise hyperbolic method is very efficient and accurate when combined with a moving mesh strategy.
scientific article; zbMATH DE number 994010