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Geometric Transformation of Finite Element Methods: Theory and Applications

Small book cover: Geometric Transformation of Finite Element Methods: Theory and Applications

Geometric Transformation of Finite Element Methods: Theory and Applications
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Publisher: arXiv.org
Number of pages: 21

Description:
We present a new technique to apply finite element methods to partial differential equations over curved domains. Our main result is that a recently developed broken Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove higher-order finite element convergence rates for the parametric problem.

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