Resolvent estimates and numerical implementation for the homogenisation of one‐dimensional periodic mixed type problems
Sebastian Franz, Marcus Waurick · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2018
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.