An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces
DOI10.1016/j.cam.2015.03.002zbMath1317.65210OpenAlexW2080495720MaRDI QIDQ2352300
Ramzan Ali, Andriy Sokolov, Stefan Turek
Publication date: 30 June 2015
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.2015.03.002
finite element methodstabilizationlevel setevolving surfacesreaction-diffusion-advection equationsalgebraic flux correctionpattern-formation
Reaction-diffusion equations (35K57) 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)
Related Items (14)
Cites Work
- Numerical simulation of chemotaxis models on stationary surfaces
- Characterization of Turing diffusion-driven instability on evolving domains
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- An Eulerian approach to transport and diffusion on evolving implicit surfaces
- A Lagrangian particle method for reaction-diffusion systems on deforming surfaces
- The surface finite element method for pattern formation on evolving biological surfaces
- Efficient, accurate and flexible finite element solvers for chemotaxis problems
- Turing instabilities in a mathematical model for signaling networks
- Fully multidimensional flux-corrected transport algorithms for fluids
- Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes
- A finite element method for surface PDEs: Matrix properties
- Explicit and implicit FEM-FCT algorithms with flux linearization
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Model and analysis of chemotactic bacterial patterns in a liquid medium
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Flux correction tools for finite elements
- A positivity-preserving finite element method for chemotaxis problems in 3D
- A flux-corrected finite element method for chemotaxis problems
- A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces
- Numerical Study of a High Order 3D FEM-Level Set Approach for Immiscible Flow Simulation
- Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces
- A Finite Element Method for Elliptic Equations on Surfaces
- LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
- Finite elements on evolving surfaces
- Mathematical Modelling of Tumour Invasion and Metastasis
- An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces
- A stabilized finite element method for advection-diffusion equations on surfaces
- A Review of Vasculogenesis Models
- Fractional step methods applied to a chemotaxis model
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