Local error estimates and post processing for the Galerkin boundary element method on polygons
<|reference_start|>Local error estimates and post processing for the Galerkin boundary element method on polygons: In this paper we give local error estimates in Sobolev norms for the Galerkin method applied to strongly elliptic pseudodifferential equations on a polygon. By using the K-operator, an operator which averages the values of the Galerkin solution, we construct improved approximations.<|reference_end|>
@article{hartmann2024local,
    title={Local error estimates and post processing for the Galerkin boundary
  element method on polygons},
    author={Thomas Hartmann, Ernst P. Stephan},
    journal={arXiv preprint arXiv:2407.06158},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.06158},
    primaryClass={math.NA cs.NA math.AP}
}