Mixed and Stabilized Finite Element Methods for the Obstacle Problem

Tom Gustafsson; Rolf Stenberg; Juha Videman

doi:10.1137/16M1065422

Mixed and Stabilized Finite Element Methods for the Obstacle Problem

Tom Gustafsson, Rolf Stenberg, Juha Videman

Department of Mathematics and Systems Analysis

University of Lisbon

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

23 Citations (Scopus)

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Abstract

We discretize the Lagrange multiplier formulation of the obstacle problem by mixed and stabilized finite element methods. A priori and a posteriori error estimates are derived and numerically verified.

Original language	English
Pages (from-to)	2718-2744
Journal	SIAM Journal on Numerical Analysis
Volume	55
Issue number	6
DOIs	https://doi.org/10.1137/16M1065422
Publication status	Published - 2017
MoE publication type	A1 Journal article-refereed

Keywords

obstacle problem
mixed finite elements
stabilized finite elements

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10.1137/16M1065422

16m1065422Final published version, 1.81 MB

Cite this

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title = "Mixed and Stabilized Finite Element Methods for the Obstacle Problem",

abstract = "We discretize the Lagrange multiplier formulation of the obstacle problem by mixed and stabilized finite element methods. A priori and a posteriori error estimates are derived and numerically verified.",

keywords = "obstacle problem, mixed finite elements, stabilized finite elements",

author = "Tom Gustafsson and Rolf Stenberg and Juha Videman",

year = "2017",

doi = "10.1137/16M1065422",

language = "English",

volume = "55",

pages = "2718--2744",

journal = "SIAM Journal on Numerical Analysis",

issn = "0036-1429",

publisher = "Society for Industrial and Applied Mathematics",

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T1 - Mixed and Stabilized Finite Element Methods for the Obstacle Problem

AU - Gustafsson, Tom

AU - Stenberg, Rolf

AU - Videman, Juha

PY - 2017

Y1 - 2017

N2 - We discretize the Lagrange multiplier formulation of the obstacle problem by mixed and stabilized finite element methods. A priori and a posteriori error estimates are derived and numerically verified.

AB - We discretize the Lagrange multiplier formulation of the obstacle problem by mixed and stabilized finite element methods. A priori and a posteriori error estimates are derived and numerically verified.

KW - obstacle problem

KW - mixed finite elements

KW - stabilized finite elements

U2 - 10.1137/16M1065422

DO - 10.1137/16M1065422

M3 - Article

SN - 0036-1429

VL - 55

SP - 2718

EP - 2744

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 6

ER -

Mixed and Stabilized Finite Element Methods for the Obstacle Problem

Abstract

Keywords

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