Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem
Provides error estimates for numerical solutions of Maxwell's equations, benefiting computational electromagnetics.
The paper derives guaranteed and computable upper bounds for the difference between the exact solution of Maxwell's initial boundary value problem and any admissible pair of vector fields, extending a method previously applied to the wave equation.
In this paper, we consider an initial boundary value problem for Maxwell's equations. For this hyperbolic type problem, we derive guaranteed and computable upper bounds for the difference between the exact solution and any pair of vector fields in the space-time cylinder that belongs to the corresponding admissible energy class. For this purpose, we use a method suggested earlier for the wave equation.