A memory-efficient finite element method for systems of reaction--diffusion equations with non-smooth forcing

DOI10.1016/j.cam.2003.12.035zbMath1052.65092OpenAlexW2125426681MaRDI QIDQ1877189

Matthias K. Gobbert, Leighton T. Izu, Alexander L. Hanhart

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.035

zbMATH Keywords

convergenceGalerkin methodfinite element methodnumerical examplesparallel computationreaction-diffusion equationcluster computingnon-smooth datacalcium ions in a human heart cellmatrix-free iterative method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Physiology (general) (92C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Cell movement (chemotaxis, etc.) (92C17)

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Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Bounds for the maximal eigenvalue of a nonnegative irreducible matrix
• The MATLAB ODE Suite
• The lumped mass finite element method for a parabolic problem
• A Lumped Mass Finite-element Method with Quadrature for a Non-linear Parabolic Problem
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