This paper presents the new approach to the problem of finite element mesh generation in case of constructional or technological changes in shape of the analysed area. The authorial method of mesh reconstruction, described in this article, creates meshes for modified areas by modification of mesh generated for the original areas. The following steps of reconstruction are described. These are: shape comparison, performed in order to detect changes and determine their types, removing these elements of original mesh that are located in modified parts of area and re-creating missing elements of new mesh. The authorial mesh generator, which enables to use the mechanism of mesh reconstruction is also described. Two examples of mesh reconstruction are presented in this article. The first example shows situation when constructional changes are implemented and the second one technological. These examples show that the described method allows to decrease time of mesh generation significantly. The last section of this article includes summary and conclusions.
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The algorithms of optimal sensor location for estimation of solidification parameters are discussed. These algorithms base on the Fisher Information Matrix and A-optimality or D-optimality criterion. Numerical examples of planning algorithms are presented and next for optimal position of sensors the inverse problems connected with the identification of unknown parameters are solved. The examples presented concern the simultaneous estimation of mould thermophysical parameters (volumetric specific heat and thermal conductivity) and also the components of volumetric latent heat of cast iron.
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