Abstract
This paper investigates the performance of large isoparametric finite elements based on the Coons' patch interpolation formula in the analysis of two-dimensional and axisymmetric potential problems with mixed (Robin) boundary conditions. This formula allows the global interpolation of the potential, e.g. temperature, within the whole domain and leads to the so-called “macroelements”, where the degrees of freedom appear only at the element boundaries. Numerical results including a steady-state axisymmetric thermal problem and simple test problems in two dimensions from literature, sustain the proposed method, which is successfully compared with conventional finite elements, boundary elements and exact analytical solutions.
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