Immersed finite element methods for parabolic equations with moving interface

DOI10.1002/num.21722zbMath1266.65165OpenAlexW2039046333MaRDI QIDQ4909193

Tao Lin, Xu Zhang, Xiaoming He, Yan Ping Lin

Publication date: 12 March 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21722

zbMATH Keywords

algorithmconvergenceerror estimatesparabolic equationsemidiscretizationCrank-Nicolson schememoving interfaceCartesian meshimmersed finite element methodCrank-Nicholson type

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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