O. Davydov, On local refinement of smooth finite elements and splines, in "Proceedings of the 2-nd International Conference OFEA'2001, St. Petersburg, Russia, June 25--29, 2001. Vol.~1," Mat. Model.14 (2002), no. 5, 109-116. electronic version

Abstract: We present an algorithm of local refinement of finite-element and spline approximations based on a uniform refinement of the mesh. Since a local mesh refinement is not needed, the method is in particular applicable to low order smooth polynomial splines on uniform type triangulations, tensor product and box splines as well as some smooth composite finite elements. The algorithm can be used in the context of adaptive approximation methods.

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