A sharp interface isogeometric solution to the Stefan problem

DOI10.1016/j.cma.2014.10.013zbMath1425.65121OpenAlexW2093643056MaRDI QIDQ1797996

Yanyan Li

Publication date: 22 October 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.10.013

zbMATH Keywords

Stefan problemdendritic solidificationadaptive geometry and time steppingalgebraic distance and point projectionhybrid function/derivative enrichments

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Computer-aided design (modeling of curves and surfaces) (65D17) Second-order parabolic equations (35K10)

Related Items (3)

Parametric stitching for smooth coupling of subdomains with non-matching discretizations ⋮ The Meshfree Interface Finite Element Method for Numerical Simulation of Dendritic Solidification with Fluid Flow ⋮ Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary conditions

Uses Software

• XFEM
• MUMPS

Cites Work

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