Iterative residual-based vector methods to accelerate fixed point iterations

DOI10.1016/j.camwa.2015.08.025zbMath1443.65004OpenAlexW2251349761MaRDI QIDQ2006504

Thomas Helfer, Isabelle Ramière

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.08.025

zbMATH Keywords

fixed point methodnonlinear mechanicsvector sequencesresidual-based methodacceleration iterative techniquemechanical behaviours

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Extrapolation to the limit, deferred corrections (65B05) Iteration theory, iterative and composite equations (39B12) Numerical aspects of recurrence relations (65Q30)

Related Items (8)

Efficient Flexible Boundary Conditions for Long Dislocations ⋮ Alternating cyclic vector extrapolation technique for accelerating nonlinear optimization algorithms and fixed-point mapping applications ⋮ Micromechanics-informed parametric deep material network for physics behavior prediction of heterogeneous materials with a varying morphology ⋮ Time-explicit hybrid high-order method for the nonlinear acoustic wave equation ⋮ A novel micromechanics-enhanced phase-field model for frictional damage and fracture of quasi-brittle geomaterials ⋮ Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations ⋮ MIXANDMIX: numerical techniques for the computation of empirical spectral distributions of population mixtures ⋮ An efficient and robust staggered algorithm applied to the quasi-static description of brittle fracture by a phase-field approach

Uses Software

• ABAQUS
• Anderson
• USERMAT

Cites Work

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