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Overlapping elements have previously been employed to connect two surfaces or subdomains meshed separately. This method has been developed in 2-D and in 3-D for plane surfaces. The paper extends the overlapping method to arbitrary non-planar surfaces; this is accomplished by introducing new shape functions. The proposed method can be applied to account for movement without any undesirable distortion of the mesh. Two examples are presented to show the effectiveness of the new method. [ABSTRACT FROM AUTHOR]

A method to solve stochastic partial differential equations on random domains consists in using a one-to-one random mapping function which transforms the random domain into a deterministic domain. With this method, the randomness is then borne by the constitutive relationship of the material. In this paper, this method is applied in electrokinetics in the case of scalar potential and vector potential formulations. An example is treated and the proposed method is compared to a nonintrusive method (NIM) based on the remeshing of the random domains. [ABSTRACT FROM AUTHOR]