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Thermal Interfaces by Higher-Order Polytope FEM

In a recent work [Embedded interfaces by Polytope FEM; Int. J. Numer. Meth. Engng., 88: 715–748, 2011] the authors proposed the use of Polytope FEM for modeling problems with interfaces that are independent of the background FEM mesh. In that work, among different applications, some thermal problems were investigated. This study is in the continuation of that work in the field of thermal problems. Here, to increase the accuracy of the flux along the embedded interface, the resolution of the approximation space near the interface is increased by adding extra nodes along the interface and also by using higher-order P-FEM shape functions. A square plate with a star-shaped interface is considered and the features of the proposed higher-order approximation are investigated in detail.