A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains

DOI10.1137/22M1483475zbMath1503.65240arXiv2104.01870OpenAlexW4287240673WikidataQ114073931 ScholiaQ114073931MaRDI QIDQ5096459

Qinghai Zhang, Weiying Zheng, Chuwen Ma

Publication date: 17 August 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01870

zbMATH Keywords

moving boundary problemstime-varying domainsunfitted characteristic finite element methodsthe advection-diffusion equationfourth-order error estimates

Mathematics Subject Classification ID

Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Three or more component flows (76T30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Moving boundary problems for PDEs (35R37)

Related Items (max. 100)

Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains ⋮ A fourth-order unfitted characteristic finite element method for free-boundary problems ⋮ High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations

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