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In this work, we analyze hierarchic -finite element discretizations of the full, three-dimensional plate problem. Based on two-scale asymptotic expansion of the three-dimensional solution, we give specific mesh design principles for the -FEM which allow to resolve the three-dimensional boundary layer profiles at robust, exponential rate. We prove that, as the plate half-thickness tends to zero, the -discretization is consistent with the three-dimensional solution to any power of in the energy...
In this work, we analyze hierarchic hp-finite element discretizations of the full, three-dimensional
plate problem. Based on two-scale asymptotic expansion of the three-dimensional solution, we give
specific mesh design principles for the hp-FEM which allow to resolve the three-dimensional boundary
layer profiles at robust, exponential rate.
We prove that, as the plate half-thickness ε tends to zero, the hp-discretization is consistent
with the three-dimensional solution to any power of ε in...
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