Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction
<|reference_start|>Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction: A posteriori error estimates are an important tool to bound discretization errors in terms of computable quantities avoiding regularity conditions that are often difficult to establish. For non-linear and non-differentiable problems, problems involving jumping coefficients, and finite element methods using anisotropic triangulations, such estimates often involve large factors, leading to sub-optimal error estimates. By making use of convex duality arguments, exact and explicit error representations are derived that avoid such effects.<|reference_end|>
@article{bartels2024exact,
    title={Exact a posteriori error control for variational problems via convex
  duality and explicit flux reconstruction},
    author={S"oren Bartels and Alex Kaltenbach},
    journal={arXiv preprint arXiv:2402.06429},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.06429},
    primaryClass={math.NA cs.NA}
}