Automatic mesh generation algorithms create the mesh using straight-edge mesh geometries. Since higher order analysis methods, such a p-version finite elements, require the elements to be curved to the geometry to obtain the high convergence rate, there is a need to postprocess the mesh to curve those mesh entities lying on curved model boundaries. The problem that arises is that valid linear geometry elements can become invalid when just curving those mesh entities on the curved model boundaries. This presentation will discuss a set of local mesh modification procedures, and the algorithms used to control their application, which can postprocess a straight-edged mesh to create valid curved elements.
This is joint work with Saikat Dey and Robert M. O'Bara.
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