Fault Resilient Domain Decomposition Preconditioner for PDEs

DOI10.1137/15M1014474zbMath1357.65297OpenAlexW1426283097MaRDI QIDQ3447462

Bert J. Debusschere, Karla Morris, Francesco Rizzi, Omar M. Knio, Cosmin Safta, Paul Mycek, Habib N. Najm, Olivier P. Le Maître, Khachik V. Sargsyan

Publication date: 27 October 2015

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

Full work available at URL: https://doi.org/10.1137/15m1014474

zbMATH Keywords

domain decomposition\(\ell_1\) minimizationfault resilience

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Reliability, testing and fault tolerance of networks and computer systems (68M15)

Related Items (max. 100)

Fault Resilient Domain Decomposition Preconditioner for PDEs ⋮ A resilient domain decomposition polynomial chaos solver for uncertain elliptic PDEs ⋮ Discrete A Priori Bounds for the Detection of Corrupted PDE Solutions in Exascale Computations ⋮ Stochastic subspace correction methods and fault tolerance

Uses Software

• LBFGS-B

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Greedy and randomized versions of the multiplicative Schwarz method
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• On the abstract theory of additive and multiplicative Schwarz algorithms
• Fault Resilient Domain Decomposition Preconditioner for PDEs
• Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs
• Iteratively reweighted least squares minimization for sparse recovery
• On some Aitken‐like acceleration of the Schwarz method
• Multivariate T-Distributions and Their Applications
• A Limited Memory Algorithm for Bound Constrained Optimization
• Statistical Reliability Estimation of Microprocessor-Based Systems
• Acceleration of the Schwarz Method for Elliptic Problems
• Prior Probabilities
• Algebraic theory of multiplicative Schwarz methods

This page was built for publication: Fault Resilient Domain Decomposition Preconditioner for PDEs