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Mesh theorems on traces, normalizations of function traces and their inversion. (English) Zbl 0816.65097
Summary: The paper studies traces of piecewise linear prolongations of mesh functions given on triangulations of two- and three-dimensional piecewise smooth domains. In particular, it considers condensing triangulations. The way of condensing triangulations may be arbitrary but the widely used assumptions on the triangles of triangulations (the so-called regular triangulations) must be satisfied. Equivalent normalizations of the space of traces of mesh functions and problems of inverting these normalizations are also analysed.

MSC:
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
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