Quasi-Optimal Nonconforming Methods for Second-Order Problems on Domains with Non-Lipschitz Boundary

2019
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Authors: Andreas Veeser; Pietro Zanotti
Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017
Publisher: Springer International Publishing

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Abstract

We introduce new nonconforming finite element methods for elliptic problems of second order. In contrast to previous work, we consider mixed boundary conditions and the domain does not have to lie on one side of its boundary. Each method is quasi-optimal in a piecewise energy norm, thanks to the discretization of the load functional with a moment-preserving smoothing operator.

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previous chapter An Introduction to the Gradient Discretisation Method

next chapter Convergence of Adaptive Finite Element Methods with Error-Dominated Oscillation

Metadata
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Title: Quasi-Optimal Nonconforming Methods for Second-Order Problems on Domains with Non-Lipschitz Boundary
Authors: Andreas Veeser
Pietro Zanotti
Publisher: Springer International Publishing
Book: Numerical Mathematics and Advanced Applications ENUMATH 2017
Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-319-96415-7_41

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