Arbitrary Lagrangian Eulerian-Type Finite Element Methods Formulation for PDEs on Time-Dependent Domains with Vanishing Discrete Space Conservation Law

DOI10.1137/18M1214494zbMath1447.65079arXiv1809.06553OpenAlexW2946244063WikidataQ114074287 ScholiaQ114074287MaRDI QIDQ5230609

Maxim A. Solovchuk, Filip Ivančić, Tony Wen-Hann Sheu

Publication date: 28 August 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06553

zbMATH Keywords

time-dependent domainReynolds transport theoremspace conservation lawmoving grid, arbitrary Lagrangian-Eulerian framework

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Uses Software

• FreeFem++

Cites Work

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