Numerical methods for time-harmonic wave problems

• Autor(a) principal: Amad, Alan Alves Santana
• Data de Publicação: 2016
• Tipo de documento: Tese
• Idioma: eng
• Título da fonte: Biblioteca Digital de Teses e Dissertações do LNCC
• Texto Completo: https://tede.lncc.br/handle/tede/269
• topic: Métodos numéricos; Problema de Navier; Problema de Helmholtz; Numerical methods; Finite difference method; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADA::ANALISE NUMERICA

Wave propagation modeling is a challenging problem with many important practical applications in engineering and applied sciences. These applications include the modeling in acoustic, scattering, vibration, structural dynamic response, earthquake, seismic, electromagnetism, photonic, and so on. In fluid-structure modeling, the applications include, for example, simulations in aircraft, rockets, turbines, marine structures, storage tanks, dams, suspension bridges and noise reduction. Our interest is the development of numerical methods to accurately solving time-harmonic wave problems. In this thesis, we propose finite difference and finite element methods to solve the acoustic and elastic problems and a coupled acoustic fluid-structure problem. We also develop a numerical model to simulate hyperthermia therapy, based on topological derivatives and on a stabilized hybrid method.