A comparison of non-matching techniques for the finite element approximation of interface problems

Daniele Boffi; Andrea Cangiani; Marco Feder; Lucia Gastaldi; Luca Heltai

doi:10.1016/j.camwa.2023.09.017

A comparison of non-matching techniques for the finite element approximation of interface problems

Daniele Boffi, Andrea Cangiani, Marco Feder, Lucia Gastaldi^*, Luca Heltai

^*Corresponding author for this work

Applied Mathematics and Computational Science

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

Abstract

We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibly moving configurations. Particular attention is paid to the implementation aspects and to the analysis of the costs related to the different phases of the simulations.

Original language	English (US)
Pages (from-to)	101-115
Number of pages	15
Journal	Computers and Mathematics with Applications
Volume	151
DOIs	https://doi.org/10.1016/j.camwa.2023.09.017
State	Published - Dec 1 2023

Keywords

Finite element method
Interface problems
Lagrange multiplier
Nitsche method
Non-matching techniques

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2023.09.017

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title = "A comparison of non-matching techniques for the finite element approximation of interface problems",

abstract = "We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibly moving configurations. Particular attention is paid to the implementation aspects and to the analysis of the costs related to the different phases of the simulations.",

keywords = "Finite element method, Interface problems, Lagrange multiplier, Nitsche method, Non-matching techniques",

author = "Daniele Boffi and Andrea Cangiani and Marco Feder and Lucia Gastaldi and Luca Heltai",

note = "Publisher Copyright: {\textcopyright} 2023 The Author(s)",

year = "2023",

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doi = "10.1016/j.camwa.2023.09.017",

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AU - Boffi, Daniele

AU - Cangiani, Andrea

AU - Feder, Marco

AU - Gastaldi, Lucia

AU - Heltai, Luca

PY - 2023/12/1

Y1 - 2023/12/1

N2 - We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibly moving configurations. Particular attention is paid to the implementation aspects and to the analysis of the costs related to the different phases of the simulations.

AB - We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibly moving configurations. Particular attention is paid to the implementation aspects and to the analysis of the costs related to the different phases of the simulations.

KW - Finite element method

KW - Interface problems

KW - Lagrange multiplier

KW - Nitsche method

KW - Non-matching techniques

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U2 - 10.1016/j.camwa.2023.09.017

DO - 10.1016/j.camwa.2023.09.017

M3 - Article

AN - SCOPUS:85173062574

SN - 0898-1221

VL - 151

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EP - 115

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

ER -

A comparison of non-matching techniques for the finite element approximation of interface problems

Abstract

Keywords

ASJC Scopus subject areas

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