A virtual element method for the transmission eigenvalue problem
2018 ◽
Vol 28
(14)
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pp. 2803-2831
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Keyword(s):
In this paper, we analyze a Virtual Element Method (VEM) for solving a non-self-adjoint fourth-order eigenvalue problem derived from the transmission eigenvalue problem. We write a variational formulation and propose a [Formula: see text]-conforming discretization by means of the VEM. We use the classical approximation theory for compact non-self-adjoint operators to obtain optimal order error estimates for the eigenfunctions and a double order for the eigenvalues. Finally, we present some numerical experiments illustrating the behavior of the virtual scheme on different families of meshes.
2015 ◽
Vol 25
(08)
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pp. 1421-1445
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2019 ◽
Vol 53
(3)
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pp. 749-774
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Keyword(s):
2018 ◽
Vol 52
(4)
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pp. 1437-1456
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2020 ◽
Vol 360
◽
pp. 112697
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2016 ◽
Vol 69
(3)
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pp. 1279-1300
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2019 ◽
Vol 40
(2)
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pp. 1544-1576
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2019 ◽
Vol 40
(4)
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pp. 2450-2472
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