Abstract
We consider an initial boundary value problem for Maxwell's equations in the space-time cylinder generated by the time interval (0;T). For this hyperbolic type system, we derive guaranteed and computable upper bounds of the dierence between the exact solution and any pair of vector fields that belongs to the natural admissible energy class. Our analysis is based upon transformations of the canonical integral relation and Gronwall's inequality and generalizes the method suggested in (22) for the wave equation to the case of the Maxwell's equation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Annales Academiae Scientiarum Fennicae Mathematica
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.