7 the eigenvalues are very close, this slight difference is due to the discretization error
of the geometry in the conventional finite element method while the isogeometric analysis gives an exact geometry.
The discretization error
of the spatial variable in the uniform norm is O([DELTA][x.
Based on the weighted-residual error estimator from , we introduced an overall error estimator which controls both, the discretization error
as well as the data approximation error (Theorem 3.
T] that must be added to the discretization error
to produce total approximation error.
Since the analytical solution is known, we can calculate relative discretization error
Verification, the other half of V&V, is about the mathematics of analysis, the programming and solving of partial differential equations, and the refining of model meshes to determine the unavoidable discretization error
In this research, the discretization error
was caused by the formulation of the FDTD method, and the round-off error was caused by continuously rounding off the digits during the simulation.
More precisely we first deal with a theoretic analysis to rearrange the discretization error
expression in a most suitable way (Section 3).
The adaptive methods have been combined with a MacCormack finite difference scheme for hyperbolic systems and an error indicator based upon estimates of the local discretization error
obtained by Richardson extrapolation.
Exploring Discretization Error
in Simulation-Based Aerodynamic Databases
Compared with the conventional FDTD method at the same sampling numbers, the MRTD schemes show better numerical dispersion properties than FDTD method, which means the discretization error
of the MRTD schemes is smaller than the FDTD method.
Also the first approach of phase matching is more sensible to this discretization error
compared to phase eliminating approach.