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pro vyhledávání: '"Vector Laplacian"'
We consider a natural eigenvalue problem for the vector Laplacian related to stationary Maxwell's equations in a cavity and we prove that an analog of the celebrated Faber-Krahn inequality doesn't hold.
Comment: references added; 9 pages, 2 figu
Comment: references added; 9 pages, 2 figu
Externí odkaz:
http://arxiv.org/abs/2409.07206
Akademický článek
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We introduce a nonconforming hybrid finite element method for the two-dimensional vector Laplacian, based on a primal variational principle for which conforming methods are known to be inconsistent. Consistency is ensured using penalty terms similar
Externí odkaz:
http://arxiv.org/abs/2206.10567
Due to the indefiniteness and poor spectral properties, the discretized linear algebraic system of the vector Laplacian by mixed finite element methods is hard to solve. A block diagonal preconditioner has been developed and shown to be an effective
Externí odkaz:
http://arxiv.org/abs/1601.04095
Akademický článek
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Publikováno v:
Math. Models Methods Appl. Sci., 22(9):26 pages, 2012
We consider the finite element solution of the vector Laplace equation on a domain in two dimensions. For various choices of boundary conditions, it is known that a mixed finite element method, in which the rotation of the solution is introduced as a
Externí odkaz:
http://arxiv.org/abs/1109.3668
Autor:
Chen, Wan, Wetton, Brian
This paper describes a technique to determine the linear well-posedness of a general class of vector elliptic problems that include a steady interface, to be determined as part of the problem, that separates two subdomains. The interface satisfies mi
Externí odkaz:
http://arxiv.org/abs/0709.1734
Akademický článek
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Publikováno v:
Journal of Scientific Computing. 77:101-128
Due to the indefiniteness and poor spectral properties, the discretized linear algebraic system of the vector Laplacian by mixed finite element methods is hard to solve. A block diagonal preconditioner has been developed and shown to be an effective
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4e1da1e635e02719a25838fdd2a622a
https://doi.org/10.1007/s10915-018-0697-7
https://doi.org/10.1007/s10915-018-0697-7
Publikováno v:
Chen, L; Wu, Y; Zhong, L; & Zhou, J. (2018). MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian. JOURNAL OF SCIENTIFIC COMPUTING, 77(1), 101-128. doi: 10.1007/s10915-018-0697-7. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/4jv6n4rk
Due to the indefiniteness and poor spectral properties, the discretized linear algebraic system of the vector Laplacian by mixed finite element methods is hard to solve. A block diagonal preconditioner has been developed and shown to be an effective
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______325::0c2740f2f67cce25cef76b3d2a4c53e2
http://www.escholarship.org/uc/item/4jv6n4rk
http://www.escholarship.org/uc/item/4jv6n4rk