Mathematics – Analysis of PDEs
Scientific paper
2011-05-20
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.
Pauly Dirk
Repin Sergey
Rossi Tuomo
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