The surface finite element method for pattern formation on evolving biological surfaces

Author:

Barreira R.,Elliott C. M.,Madzvamuse A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modeling and Simulation

Reference35 articles.

1. Aragón JL, Barrio RA, Varea C (1999) Turing patterns on a sphere. Phys Rev E 60: 4588–4592

2. Barreira R (2009) Numerical solution of non-linear partial differential equations on triangulated surfaces, D.Phil Thesis, University of Sussex

3. Barrett JW, Garcke H, Nürnberg (2008) Parametric approximation of Willmore flow and related geometric evolution equations. SIAM J Sci Comput 31: 225–253

4. Barrio RA, Maini PK, Padilla P, Plaza RG, Sánchez-Garduno F (2004) The effect of growth and curvature on pattern formation. J Dyn Diff Equ 4: 1093–1121

5. Calhoun DA, Helzel C (2009) A finite volume method for solving parabolic equations on logically cartesian curved surface meshes. SIAM J Sci Comput 6: 4066–4099

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