Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D
classification
🧮 math.NA
keywords
cannoterrorfinitelinearmaximumnormremovedbounds
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For linear finite element discretizations of the Laplace equation in three dimensions, we give an example of a tetrahedral mesh in the cubic domain for which the logarithmic factor cannot be removed from the standard upper bounds on the error in the maximum norm.
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