Specialist Subjects: Hp Finite Elements, Computational Electromagnetics, Error estimation, Reduced Order Modelling, Efficient Preconditioning, Inverse problems.
Programming and development of H(curl) conforming finite element software capable of hp refinement in two and three dimensions.
Further interests in to the development of preconditioners for indefinite linear systems, inverse problems, uncertainty quantification, a-posteriori error estimation schemes, goal orientated adaptivity, reduced order modelling and novel schemes for reducing dispersion in wave propagation problems.
Applications to problems in computational electromagnetics, including scattering computation, eddy current computation, eigenvalue computation and more recently the modelling of biomedical imaging devices.
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