An Interface/Boundary-Unfitted EXtended HDG Method for Linear Elasticity Problems

نویسندگان

چکیده

An interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method of arbitrary order is proposed for linear elasticity interface problems on unfitted meshes with respect to the and domain boundary. The uses piecewise polynomials degrees \(k\ (\ge 1)\) \(k-1\) respectively displacement stress approximations in interior elements inside subdomains separated by interface, degree k numerical traces inter-element boundaries interface/boundary domain. Optimal error estimates \(L^2\)-norm are derived. Finally, experiments confirm theoretical results show that also applies case crack-tip

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ژورنال

عنوان ژورنال: Journal of Scientific Computing

سال: 2023

ISSN: ['1573-7691', '0885-7474']

DOI: https://doi.org/10.1007/s10915-023-02107-7