A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces

DOI10.1137/090776767zbMath1254.65095OpenAlexW1965118900MaRDI QIDQ3091790

Martin Rumpf, Simplice Firmin Nemadjieu, Martin O. Lenz

Publication date: 14 September 2011

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

Full work available at URL: https://semanticscholar.org/paper/0e71e2a12e058270082f99a138f737e1c146651e

zbMATH Keywords

convergencefinite volume methodconservation lawmesh refinementevolving surfacestransport diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Convection in hydrodynamic stability (76E06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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