Resolvent estimates and numerical implementation for the homogenisation of one‐dimensional periodic mixed type problems

Franz, Sebastian and Waurick, Marcus (2018) Resolvent estimates and numerical implementation for the homogenisation of one‐dimensional periodic mixed type problems. ZAMM, Zeitschrift fur angewandte mathematik und mechanik. ISSN 0044-2267

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    Abstract

    We study a homogenisation problem for problems of mixed type in the framework of evolutionary equations. The change of type is highly oscillatory. The numerical treatment is done by a discontinuous Galerkin method in time and a continuous Galerkin method in space.