Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem
Analysis of PDEs
2011-05-23 v1 Mathematical Physics
math.MP
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1105.4110,
title = {Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem},
author = {Dirk Pauly and Sergey Repin and Tuomo Rossi},
journal= {arXiv preprint arXiv:1105.4110},
year = {2011}
}
Comments
Key Words: Cauchy problem for Maxwell's equations, functional a posteriori estimates; Annales Academiae Scientiarium Fennicae Mathematica, (2011)