Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation

DOI10.1007/978-3-319-39929-4_18zbMath1387.76061arXiv1512.05637OpenAlexW3104770543MaRDI QIDQ3179658

Bülent Karasözen, Ayşe Sarıaydın-Filibelioğlu, Murat Uzunca

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05637

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multiphase and multicomponent flows (76Txx)

Uses Software

• ROS3P

Cites Work

• Diffuse interface surface tension models in an expanding flow
• Adaptive finite element simulation of the time-dependent simplified \(P_N\) equations
• Adaptive numerical solution of PDEs.
• A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations
• An adaptive Rothe method for nonlinear reaction-diffusion systems
• Adaptive multilevel solution of nonlinear parabolic PDE systems. Theory, algorithm, and applications
• An adaptive multilevel approach to parabolic equations I. General theory and 1D implementation
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems

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