Towards efficient interface conditions for a Schwarz domain decomposition algorithm for an advection equation with biharmonic diffusion

DOI10.1016/j.apnum.2009.10.001zbMath1189.65221OpenAlexW2071838188MaRDI QIDQ969302

Elise Nourtier-Mazauric, Eric Blayo

Publication date: 6 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.10.001

zbMATH Keywords

convergencenumerical experimentsdomain decomposition methodsvariational methodbiharmonic operatorbiharmonic diffusion-advection equationsefficient interface conditionsnon-local absorbing boundary conditionsoptimized conditionsSchwarz global-in-time domain decomposition algorithm

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

On the Definition of Dirichlet and Neumann Conditions for the Biharmonic Equation and Its Impact on Associated Schwarz Methods ⋮ Discrete analysis of Schwarz waveform relaxation for a diffusion reaction problem with discontinuous coefficients ⋮ Optimized overlapping Schwarz waveform relaxation for a class of time-fractional diffusion problems ⋮ Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations

Cites Work

• Cell traction models for generating pattern and form in morphogenesis
• A domain decomposition method for biharmonic equation
• The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
• Multilevel Schwarz Methods for the Biharmonic Dirichlet Problem
• The optimized order 2 method
• Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
• Optimized Schwarz Methods
• An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
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