MATHICSE Technical Report : Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales
Timothée Pouchon, Assyr Abdulle · Infoscience (Ecole Polytechnique Fédérale de Lausanne) · 2019
A family of effective equations for wave propagation in periodic media for arbitrary timescales O(ε -α ), where ε 1 is the period of the tensor describing the medium, is proposed.The well-posedness of the effective equations of the family is ensured without requiring a regularization process as in previous models [A.Benoit and A. Gloria,