Two-dimensional fully adaptive solutions of reaction-diffusion equations

DOI10.1016/0168-9274(95)00057-2zbMath0846.65044OpenAlexW2085227212MaRDI QIDQ1902077

Jens Lang

Publication date: 26 September 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00057-2

zbMATH Keywords

error estimatesmesh refinementcomputational exampleadaptive Rothe methodembedded Rosenbrock methodembedded Runge-Kutta schememultilevel finite elementthermodiffusive flame propagation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Combustion (80A25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Isogeometric analysis of the Cahn-Hilliard phase-field model, Adaptive FEM for reaction-diffusion equations, Adaptive time integration for electromagnetic models with sinusoidal excitation, Advanced FI²TD algorithms for transient eddy current problems, Transient field‐circuit coupled formulation based on the finite integration technique and a mixed circuit formulation, Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models, Two-dimensional cascadic finite element computations of combustion problems, Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations, An explicit predictor/multicorrector time marching with automatic adaptivity for finite-strain elastodynamics

Uses Software

• PDEX1M
• RODAS
• Kaskade7
• KARDOS

Cites Work

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