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Whitney edge elements and the Runge phenomenon


It is well known that Lagrange interpolation based on equispaced nodes can yield poor results. Oscillations may appear when using high degree polynomials. For functions of one variable, the most celebrated example has been provided by Carl Runge in 1901, who showed that higher degrees do not always improve interpolation accuracy. His example was then extended to multivariate calculus and in this work we show that it is meaningful, in an appropriate sense, also for Whitney edge elements, namely for differential 1-forms.
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hal-03893138 , version 1 (10-12-2022)


  • HAL Id : hal-03893138 , version 1


Ana Alonso Rodríguez, Ludovico Bruni Bruno, Francesca Rapetti. Whitney edge elements and the Runge phenomenon. 2022. ⟨hal-03893138⟩
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