Optimal moving grids for time-dependent partial differential equations
The author proposes optimal moving grids on which the solutions of the linear heat conduction and the viscous Burgers' equation in one space dimension are approximated. The numerical calculation of optimal moving grids for piecewise linear finite element approximations of solutions of partial differential equations in the least-squares norm is considered. The optimal approximation relies on an exact knowledge of the solutions of the partial differential equations.
scientific article; zbMATH DE number 97189
scientific article