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A weak variational formulation for the propagation of Love waves
Author(s) -
Serón F. J.,
Badal J.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230903
Subject(s) - interpretation (philosophy) , variety (cybernetics) , boundary value problem , geophysics , margin (machine learning) , excitation , energy (signal processing) , point (geometry) , geology , peninsula , mathematical analysis , mathematics , physics , computer science , geometry , geography , statistics , quantum mechanics , machine learning , programming language , archaeology
This paper describes the fundamental principles of the mathematical method used by the authors in discussing the direct geophysical problem of analysing the behaviour of the Atlantic continental margin of the Iberian Peninsula as a transmission medium of seismic energy. In order to resolve this problem, a weak variational formulation is proposed, building up an approximate solution by means of a semidiscrete treatment with the finite element method. The excitation of that non‐subductive ocean‐continent transition zone is supposed to be caused by Love waves normally incident at the continental boundary. The physical and geometrical parameters describing the model are obtained using as a starting point the experimental data known for this zone. The work shows the main results that we have obtained, the geophysical interpretation of which can be seen in Reference 1. Finally we proposed a large variety of open problems to which analogous techniques can be applied, owing to the extended validity of the proposed method.