Preserving invariance properties of reaction–diffusion systems on stationary surfaces

DOI10.1093/imanum/drx058zbMath1483.65155OpenAlexW2519554845MaRDI QIDQ5113333

Massimo Frittelli, Ivonne Sgura, Anotida Madzvamuse, Chandrasekhar Venkataraman

Publication date: 4 June 2020

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drx058

zbMATH Keywords

maximum principleconvergenceheat equationpattern formationreaction-diffusionmass lumpinginvariant regionsurface finite elements

Mathematics Subject Classification ID

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) Diffusion processes and stochastic analysis on manifolds (58J65) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58)

Related Items (6)

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 ⋮ Spiral waves on the sphere for an alloy electrodeposition model ⋮ Full finite element scheme for reaction-diffusion systems on embedded curved surfaces in \(\mathbb{R}^3\) ⋮ Bulk-surface virtual element method for systems of PDEs in two-space dimensions ⋮ Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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