Error Bounds in Computational Electromagnetics

Most engineering problems must be solved by numerical methods that in general are able to provide only approximate solutions. The error analysis is therefore a theme of great interest in computational engineering. It is nowadays of common use to make error estimation which leads to the defmition of the error in the field equations (residual) or in the constitutive relations (constitutive approach). These a posteriori error estimations provide a basis for a selective mesh refinement, and an indication about the convergence of the solution process. However, in some cases it is important to assess the accuracy of the numerical solution with error bounds