On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems

DOI10.1007/s00791-014-0221-zzbMath1380.65377OpenAlexW1984783803MaRDI QIDQ1684411

Monika Wolfmayr, Johannes Kraus

Publication date: 8 December 2017

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-014-0221-z

zbMATH Keywords

uniform convergencereaction-diffusion problemsoptimal complexityalgebraic multilevel iteration

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients ⋮ Robust finite element discretization and solvers for distributed elliptic optimal control problems ⋮ Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems ⋮ Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems ⋮ Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals ⋮ Robust discretization and solvers for elliptic optimal control problems with energy regularization

Uses Software

• QEPCAD
• MinRes

Cites Work

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