Comoving mesh method for certain classes of moving boundary problems
DOI10.1007/s13160-022-00524-zzbMath1506.65163arXiv2106.00202OpenAlexW3167444225WikidataQ113899368 ScholiaQ113899368MaRDI QIDQ2107468
Yosuke Sunayama, Masato Kimura, Julius Fergy T. Rabago
Publication date: 1 December 2022
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.00202
free boundary problemmoving boundary problemHele-Shaw problemquasi-stationary Stefan problemcomoving mesh method
Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Other free boundary flows; Hele-Shaw flows (76D27) Moving boundary problems for PDEs (35R37)
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