A Combination of the Scaled Boundary Finite Element Method with the Mortar Method

Abstract

Connecting different domains is one possibility to increase the performance of a numerical solution method. The Mortar Method is one of the well-established methods for this task. In this contribution, we focus on the solution of the elastodynamic wave equation by means of the scaled boundary finite element method and demonstrate that it is straightforward to connect different polygonal meshes by employing the Mortar Method in two dimensions. Examples show the stability for higher-order shape functions when performing h-refinement or p-refinement.

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