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- W1640830170 abstract "Abstract : This report describes development of a new hierarchical spectral basis appropriate for hp-finite element formulations on unstructured grids consisting of triangular and tetrahedral subdomains. The new multi-resolution basis has the following properties: (1) Jacobi polynomials of mixed weights, (2) Semi-orthogonality, leading to great sparsity, (3) Hierarchical structure, (4) Generalized tensor products, (5) Mixed order expansions, which provides great flexibility in adaptive discretizations, and 6) Gauss-Jacobi quadratures that minimize errors in complicated geometries. The accuracy of this method has been tested in two and three dimensions. Importantly, numerical results verified that the new hierarchical basis exhibits convergence even for highly distorted meshes." @default.
- W1640830170 created "2016-06-24" @default.
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- W1640830170 date "1997-10-09" @default.
- W1640830170 modified "2023-10-17" @default.
- W1640830170 title "Parallel Multi-Scale Algorithms and Applications to Turbulence" @default.
- W1640830170 doi "https://doi.org/10.21236/ada334848" @default.
- W1640830170 hasPublicationYear "1997" @default.
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