Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem

Details Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem

2011-05-20

arxiv.org/abs/1105.4110v1

Mathematics

Analysis of PDEs

Key Words: Cauchy problem for Maxwell's equations, functional a posteriori estimates; Annales Academiae Scientiarium Fennicae

Scientific paper

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.

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