Stabilized finite elements for Tresca friction problem

Tom Gustafsson; Juha Videman

doi:10.1051/m2an/2022048

Stabilized finite elements for Tresca friction problem

Tom Gustafsson, Juha Videman

Department of Mathematics and Systems Analysis

Universidade de Lisboa

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

7 Citations (Scopus)

92 Downloads (Pure)

Abstract

We formulate and analyze a Nitsche-type algorithm for frictional contact problems. The method is derived from, and analyzed as, a stabilized finite element method and shown to be quasi-optimal, as well as suitable as an adaptive scheme through an a posteriori error analysis. The a posteriori error indicators are validated in a numerical experiment.

Original language	English
Pages (from-to)	1307-1326
Number of pages	20
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume	56
Issue number	4
DOIs	https://doi.org/10.1051/m2an/2022048
Publication status	Published - Jul 2022
MoE publication type	A1 Journal article-refereed

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10.1051/m2an/2022048Licence: CC BY

SCI_Gustafsson_etal_ESAIM_2022Final published version, 698 KBLicence: CC BY

Cite this

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AB - We formulate and analyze a Nitsche-type algorithm for frictional contact problems. The method is derived from, and analyzed as, a stabilized finite element method and shown to be quasi-optimal, as well as suitable as an adaptive scheme through an a posteriori error analysis. The a posteriori error indicators are validated in a numerical experiment.

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Stabilized finite elements for Tresca friction problem

Abstract

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Numerical experiments for "Stabilized finite elements for Tresca friction problem"

Gustafsson Tom: Adaptive high-order mortar methods for computational contact mechanics

-: Efficient finite element methods in continuum mechanics

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Stabilized finite elements for Tresca friction problem

Abstract

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Numerical experiments for "Stabilized finite elements for Tresca friction problem"

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Gustafsson Tom: Adaptive high-order mortar methods for computational contact mechanics

-: Efficient finite element methods in continuum mechanics

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