Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems

DOI10.1137/120877374zbMath1264.65158arXiv1111.2265OpenAlexW2134337721MaRDI QIDQ4917153

Simon L. Cotter, Radek Erban, Tomáv s Vejchodský

Publication date: 29 April 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2265

zbMATH Keywords

Fokker-Planck equationnumerical examplesfinite element methodsadaptive meshesstochastic simulation algorithmchemical Fokker-Planck

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Chemical kinetics in thermodynamics and heat transfer (80A30) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Fokker-Planck equations (35Q84)

Related Items (6)

Adaptive density tracking by quadrature for stochastic differential equations ⋮ Hybrid framework for the simulation of stochastic chemical kinetics ⋮ A transformed path integral approach for solution of the Fokker-Planck equation ⋮ Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics ⋮ Noise-induced mixing and multimodality in reaction networks ⋮ Multiscale stochastic reaction-diffusion algorithms combining Markov chain models with stochastic partial differential equations

Uses Software

• SLEPc
• AUTO
• PETSc

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