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- W3136221408 abstract "In this study, we present spectral equivalence results for higher-order tensor product edge-, face- and interior-based finite elements. Specifically, we show for certain choices of shape functions that the mass and stiffness matrices of the higher-order elements are spectrally equivalent to those for an assembly of lowest-order elements on the associated Gauss-Lobatto-Legendre mesh. Based on this equivalence, efficient preconditioners can be designed with favorable computational complexity. Numerical results are presented which confirm the theory and demonstrate the benefits of the equivalence results for overlapping Schwarz preconditioners." @default.
- W3136221408 created "2021-03-29" @default.
- W3136221408 creator A5036660014 @default.
- W3136221408 date "2021-01-01" @default.
- W3136221408 modified "2023-09-23" @default.
- W3136221408 title "Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements and Applications to Preconditioning." @default.
- W3136221408 doi "https://doi.org/10.2172/1761047" @default.
- W3136221408 hasPublicationYear "2021" @default.
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