In this work, we propose an efficient matrix decomposition algorithm for the Method of Fundamental Solutions when applied to three–dimensional boundary value problems governed by elliptic systems of partial differential equations. In particular, we consider problems arising in linear elasticity in axisymmetric domains. The proposed algorithm exploits the block circulant structure of the coeffic...

Elastic materials are ubiquitous in nature and indispensable components in man-made devices and equipments. When a device or equipment involves composite or multiple elastic materials, elasticity interface problems come into play. The solution of three dimensional (3D) elasticity interface problems is significantly more difficult than that of elliptic counterparts due to the coupled vector comp...

We present two kinds of lowest-order virtual element methods for planar linear elasticity problems. For the first one we use nonconforming method with a stabilizing term. It can be interpreted as modification Crouzeix–Raviart finite suggested in Hansbo and Larson (2003) to method. second conforming component displacement vector other. This approach seen an extension idea Kouhia Stenberg (1995) ...