Advanced numerical methods for wave propagation problems: The Arlequin method & Potential formulation for elastodynamics
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Título: | Advanced numerical methods for wave propagation problems: The Arlequin method & Potential formulation for elastodynamics |
Autor/a: | Albella Martínez, Jorge |
Dirección/Titoría: | Rodríguez García, Jerónimo Imperiale, Sébastien |
Centro/Departamento: | Universidade de Santiago de Compostela. Centro Internacional de Estudos de Doutoramento e Avanzados (CIEDUS) Universidade de Santiago de Compostela. Escola de Doutoramento Internacional en Ciencias e Tecnoloxía Universidade de Santiago de Compostela. Programa de Doutoramento en Métodos Matemáticos e Simulación Numérica en Enxeñaría e Ciencias Aplicadas |
Palabras chave: | Elastic wave propagation | Potentials | Domain decomposition | |
Data: | 2020 |
Resumo: | The thesis is divided in two parts that, in addition to the intellectual curiosity, share a common aim, the development of efficient techniques for wave propagation problems. First, we develop an ovelapping domain decomposition technique (the Arlequin method) that is well adapted for the treatment of local phenomena. We present the method for Helmholtz and wave equation, but in principle, it can be used in other fields. Second, we tackle the numerical resolution of linear elastodynamics equation for isotropic homogeneous media and we present a potential formulation that allows to discretize separately the pressure and the shear waves. The result is a method that is more efficient when both waves travel with different velocities. |
URI: | http://hdl.handle.net/10347/23280 |
Dereitos: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
Coleccións
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- Área de Ciencias [953]
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