An adaptive finite element method for the infinity Laplacian

Omar Lakkis; Tristan Pryer

doi:10.1007/978-3-319-10705-9_28

An adaptive finite element method for the infinity Laplacian

Omar Lakkis, Tristan Pryer

Research output: Contribution to journal › Article › peer-review

7 Citations (SciVal)

Abstract

We construct a finite element method (FEM) for the infinity Laplacian. Solutions of this problem are well known to be singular in nature so we have taken the opportunity to conduct an a posteriori analysis of the method deriving residual based estimators to drive an adaptive algorithm. It is numerically shown that optimal convergence rates are regained using the adaptive procedure.

Original language	English
Pages (from-to)	283-291
Number of pages	9
Journal	Lecture Notes in Computational Science and Engineering
Volume	103
DOIs	https://doi.org/10.1007/978-3-319-10705-9_28
Publication status	Published - 2015

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2015.

ASJC Scopus subject areas

Modelling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-319-10705-9_28

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title = "An adaptive finite element method for the infinity Laplacian",

abstract = "We construct a finite element method (FEM) for the infinity Laplacian. Solutions of this problem are well known to be singular in nature so we have taken the opportunity to conduct an a posteriori analysis of the method deriving residual based estimators to drive an adaptive algorithm. It is numerically shown that optimal convergence rates are regained using the adaptive procedure.",

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AU - Pryer, Tristan

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AB - We construct a finite element method (FEM) for the infinity Laplacian. Solutions of this problem are well known to be singular in nature so we have taken the opportunity to conduct an a posteriori analysis of the method deriving residual based estimators to drive an adaptive algorithm. It is numerically shown that optimal convergence rates are regained using the adaptive procedure.

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DO - 10.1007/978-3-319-10705-9_28

M3 - Article

AN - SCOPUS:84919800463

SN - 1439-7358

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JO - Lecture Notes in Computational Science and Engineering

JF - Lecture Notes in Computational Science and Engineering

ER -

An adaptive finite element method for the infinity Laplacian

Abstract

Bibliographical note

ASJC Scopus subject areas

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