In this paper, a Method of External Finite Element Approximation (MEFEA) to model such problems like composites reinforced by short fibres will be presented. MEFEA is an enhanced classic FEM with idea of external approximations. There are shape functions in the discrete solution space that do not belong to the infinite dimensional solution space. The domain is split in subdomains (cells) and the approximation is built on each of these subdo-mains independently of each other. The method is similar to Hybrid Trefftz Finite Element Method, where Trefftz functions are used inside each element (subdomain). The displacement and force boundary conditions are met only approximately whereas the governing equations are fulfilled exactly in the volume for linear elasticity, making it possible to assess accuracy in terms of error in boundary conditions. The main benefit is that the discretization can be done directly on a 3D CAD geometry with all details (features) for the analysis.
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