On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge-Kutta methods (ELDIRK) for the adaptive solution of phase-field problems

DOI10.1016/j.cma.2023.116545OpenAlexW4387802526MaRDI QIDQ6118611

Rolf Mahnken, Hendrik Westermann

Publication date: 21 March 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2023.116545

zbMATH Keywords

numerical methodsRunge-Kutta methodphase-field modeladaptive step size control

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

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• Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods
• A family of embedded Runge-Kutta formulae
• New low order Runge-Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction
• Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes
• Goal-oriented adaptive refinement for phase field modeling with finite elements
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Irksome: Automating Runge–Kutta Time-stepping for Finite Element Methods
• Coefficients for the study of Runge-Kutta integration processes
• A special stability problem for linear multistep methods
• Runge-Kutta research in Trondheim

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