Anisotropic interpolation error estimates using a new geometric parameter

نویسندگان

چکیده

Abstract We present precise anisotropic interpolation error estimates for smooth functions using a new geometric parameter and derive inverse inequalities on meshes. In our theory, the is bounded in terms of diameter simplex parameter. Imposing additional assumptions makes it possible to obtain estimates. This paper also includes corrections an Theorem 2 previous paper, “General theory meshes” (Japan Journal Industrial Applied Mathematics, 38 (2021) 163–191).

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ژورنال

عنوان ژورنال: Japan Journal of Industrial and Applied Mathematics

سال: 2022

ISSN: ['0916-7005', '1868-937X']

DOI: https://doi.org/10.1007/s13160-022-00535-w