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This is a Quantitative Study study (also classified as: Experimental Study).

Robust time-discretization and linearization schemes for singular and degenerate evolution systems modelling biofilm growth

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This work presents numerical schemes for evolution equations in biofilm growth, suggesting improved convergence and robustness.

Proposed numerical schemes show convergence for biofilm growth modeling and other processes.
The semi-implicit time discretization method allows for decoupling the parabolic and ordinary differential equations.
Iterative linearization proves efficient, with fast convergence under weak assumptions about time-step size.
Finite element simulations demonstrate the robustness and speed of the proposed scheme compared to existing methods.

Smeets et al. (2025) studied this question.

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