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

Abstract

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.

Key Words: Cauchy problem for Maxwell's equations, functional a posteriori estimates; Annales Academiae Scientiarium Fennicae Mathematica, (2011)

References in corpus (2)

• Hodge-Helmholtz Decompositions of Weighted Sobolev Spaces in Irregular Exterior Domains with Inhomogeneous and Anisotropic Media
• Theoretical Considerations on the Computation of Generalized Time-Periodic Waves

Cited by in corpus (1)

• Functional A Posteriori Error Equalities for Conforming Mixed Approximations of Elliptic Problems