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• W2072097343 abstract "We construct locally supported basis functions which are biorthogonal to conforming nodal finite element basis functions of degree $p$ in one dimension. In contrast to earlier approaches, these basis functions have the same support as the nodal finite element basis functions and reproduce the conforming finite element space of degree $p-1$. Working with Gauß–Lobatto nodes, we find an interesting connection between biorthogonality and quadrature formulas. One important application of these newly constructed biorthogonal basis functions are two-dimensional mortar finite elements. The weak continuity condition of the constrained mortar space is realized in terms of our new dual bases. As a result, local static condensation can be applied which is very attractive from the numerical point of view. Numerical results are presented for cubic mortar finite elements." @default.
• W2072097343 created "2016-06-24" @default.
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• W2072097343 creator A5057768636 @default.
• W2072097343 date "2007-01-01" @default.
• W2072097343 modified "2023-09-23" @default.
• W2072097343 title "Biorthogonal bases with local support and approximation properties" @default.
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• W2072097343 doi "https://doi.org/10.1090/s0025-5718-06-01907-7" @default.
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