Solving elliptic eigenproblems with adaptive multimesh <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1013" altimg="si5.svg"><mml:mrow><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math>-FEM
نویسندگان
چکیده
This paper proposes a novel adaptive higher-order finite element (hp-FEM) method for solving elliptic eigenvalue problems, where n eigenpairs are calculated simultaneously, but on individual meshes. The meshes automatically hp-refined independently of each other, with the goal to use an optimal mesh sequence eigenfunction. and algorithm described in detail. Numerical examples clearly demonstrate superiority over standard approach all eigenfunctions approximated same mesh.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2021
ISSN: ['0377-0427', '1879-1778', '0771-050X']
DOI: https://doi.org/10.1016/j.cam.2021.113528