Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations

DOI10.1016/j.cma.2014.10.054zbMath1425.65106OpenAlexW2069206303MaRDI QIDQ1798543

Naveed Ahmed, Volker John

Publication date: 23 October 2018

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.2014.10.054

zbMATH Keywords

discontinuous Galerkin methodpost-processed solutionSUPG stabilizationadaptive Crank-Nicolson schemeadaptive step length controlcontinuous Galerkin-Petrov method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Time-step optimization method to improve calculation efficiency and feasibility validation reliance ⋮ Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space ⋮ An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations ⋮ Dahlquist's barriers and much beyond ⋮ An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows ⋮ Explicit-in-time goal-oriented adaptivity ⋮ An accurate and simple universal a posteriori error estimator for GS4-1 framework: adaptive time stepping in first-order transient systems ⋮ An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations ⋮ Variational time discretizations of higher order and higher regularity ⋮ A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems

Uses Software

• MooNMD
• RODAS
• FEATFLOW

Cites Work

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