Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number

DOI10.1007/978-3-319-10705-9_19zbMath1321.76018arXiv1311.4588OpenAlexW2129755515WikidataQ54889258 ScholiaQ54889258MaRDI QIDQ5264843

Robert Speck, Daniel Ruprecht, Johannes Steiner, Rolf H. Krause

Publication date: 28 July 2015

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

Full work available at URL: https://arxiv.org/abs/1311.4588

Mathematics Subject Classification ID

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Cites Work

• Toward an efficient parallel in time method for partial differential equations
• Explicit parallel-in-time integration of a linear acoustic-advection system
• Résolution d'EDP par un schéma en temps «pararéel »
• Integrating an N-Body Problem with SDC and PFASST
• Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium
• Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses
• A time-parallel implicit method for accelerating the solution of non-linear structural dynamics problems
• Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
• Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications
• Parallel-in-time simulation of the unsteady Navier–Stokes equations for incompressible flow
• On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
• A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
• Stability of the Parareal Algorithm
• Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems
• On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method
• Analysis of the Parareal Time‐Parallel Time‐Integration Method

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