A Multirate Neumann--Neumann Waveform Relaxation Method for Heterogeneous Coupled Heat Equations

DOI10.1137/18M1187878zbMath1448.65169arXiv1805.04336WikidataQ126856891 ScholiaQ126856891MaRDI QIDQ5241245

Philipp Birken, Azahar Monge

Publication date: 30 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04336

zbMATH Keywords

domain decompositionfluid-structure interactioniterative solverstransmission problemcoupled problemsmultirate

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

Discrete analysis of Schwarz waveform relaxation for a diffusion reaction problem with discontinuous coefficients ⋮ Dirichlet-Neumann waveform relaxation methods for parabolic and hyperbolic problems in multiple subdomains ⋮ Analysis of a new accelerated waveform relaxation method based on the time-parallel algorithm ⋮ A time adaptive multirate Dirichlet–Neumann waveform relaxation method for heterogeneous coupled heat equations ⋮ A Multirate Discontinuous-Galerkin-in-Time Framework for Interface-Coupled Problems

Cites Work

• Unnamed Item
• Unnamed Item
• Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems
• A time-adaptive fluid-structure interaction method for thermal coupling
• Pipeline implementations of Neumann-Neumann and Dirichlet-Neumann waveform relaxation methods
• Space-time domain decomposition for parabolic problems
• On the convergence rate of the Dirichlet-Neumann iteration for unsteady thermal fluid-structure interaction
• Parallel coupling numerics for partitioned fluid-structure interaction simulations
• Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. I: The constant coefficients case
• Added-mass effect in the design of partitioned algorithms for fluid--structure problems
• Fluid flow and heat transfer in gas jet quenching of a cylinder
• Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation
• 50 Years of Time Parallel Time Integration
• Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows
• 3D fluid-structure interaction analysis of a typical liquid rocket engine cycle based on a novel viscoplastic damage model
• Partitioned iterative solution methods for fluid-structure interaction
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
• Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
• Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems

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