Numerical preservation of velocity induced invariant regions for reaction-diffusion systems on evolving surfaces

DOI10.1007/s10915-018-0741-7zbMath1407.65186OpenAlexW2806719404MaRDI QIDQ1632206

Anotida Madzvamuse, Massimo Frittelli, Ivonne Sgura, Chandrasekhar Venkataraman

Publication date: 13 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0741-7

zbMATH Keywords

maximum principleheat equationreaction-diffusion systeminvariant regionevolving surfacedilation rate

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) 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) Second-order parabolic equations (35K10)

Related Items (4)

Pattern formation on a growing oblate spheroid. An application to adult sea urchin development ⋮ Virtual element method for elliptic bulk‐surface PDEs in three space dimensions ⋮ The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications ⋮ Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications

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