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- W2165890389 abstract "In this paper we present a posteriori error estimates, and stability estimates for the time-dependent Maxwell system of electromagnetics. We use the weak formulation of Lee-Madsen and Monk, for which there is an a priori convergence theorem derived by Monk. We then discretise the problem using a standard Galerkin method, and we show that this method is stable. We derive the Galerkin orthogonality properties, which together with some interpolation properties for the finite element solution, Friedrich div-curl inequality, and the strong stability estimates for the adjoint problem (which we also derive) enable us to prove an a posteriori error estimate in the H 1-norm that forms the basis for the adaptive algorithm. Acknowledgements The author would like to thank Professor Endre Suli at Oxford University, who in 1998 acted as supervisor to the author during his work with his M.Sc. dissertation, from which this paper originates. The author would also like to thank Professor Claes Johnson at Chalmers University for allowing him the opportunity to go to Oxford and work with Professor Suli." @default.
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- W2165890389 date "2000-01-01" @default.
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- W2165890389 title "AdaptiveFinite Element Methodsfor the Unsteady Maxwell's Equations" @default.
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