Anisotropic <i>a posteriori</i> error estimate for the virtual element method
نویسندگان
چکیده
Abstract We derive an anisotropic a posteriori error estimate for the adaptive conforming virtual element approximation of paradigmatic two-dimensional elliptic problem. In particular, we introduce quasi-interpolant operator and exploit its results to prove reliability indicator. design implement corresponding polygonal algorithm. Several numerical tests assess superiority proposed algorithm in comparison with standard isotropic mesh refinement schemes.
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ژورنال
عنوان ژورنال: Ima Journal of Numerical Analysis
سال: 2021
ISSN: ['1464-3642', '0272-4979']
DOI: https://doi.org/10.1093/imanum/drab001