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Nonlocal Meyers' Example
Anna Kh. Balci, Lars Diening, Moritz Kassmann +1
We present nonlocal variants of the famous Meyers' example of limited higher integrability and differentiability. In the limit we recover the standard Meyers' exampl…
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
Lars Diening, Rob Stevenson, Johannes Storn
We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refineme…
Examples of -harmonic maps
Anna Balci, Linus Behn, Lars Diening +1
We construct explicit examples of -harmonic maps . These are more irregular than the previously known examples and thus provide new upper bounds…
Guaranteed upper bounds for iteration errors and modified Kacanov schemes via discrete duality
Lars Diening, Johannes Storn
We apply duality theory to discretized convex minimization problems to obtain computable guaranteed upper bounds for the distance of given discrete functions and the exact discrete…