Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube
We prove an optimal-order error bound in the discrete $H^2(\Omega)$ norm for finite difference approximations of the first boundary-value problem for the biharmonic equation in $n$ space dimensions, with $n \in \{2,\dots,7\}$, whose generalized solution belongs to the Sobolev space $H^s(\Omega) \cap...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
Society for Industrial and Applied Mathematics
2020
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