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Paul Mycek

Duke University

35

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Recycling Krylov subspace strategies for sequences of sampled stochastic elliptic equations

2021
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Toward robust, fast solutions of elliptic equations on complex domains through HHO discretizations and non-nested multigrid methods

2021
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Resiliency in numerical algorithm design for extreme scale simulations

2020 International Journal of High Performance Computing Applications
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Resiliency in Numerical Algorithm Design for Extreme Scale Simulations

2020 arXiv: Distributed, Parallel, and Cluster Computing
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Multilevel Monte Carlo Covariance Estimation for the Computation of Sobol' Indices

2019 SIAM/ASA Journal on Uncertainty Quantification
- Paul Mycek
- Matthias De Lozzo
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Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations. Part A: Local Karhunen--Loève Representations

2018 SIAM Journal on Scientific Computing
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Partial differential equations preconditioner resilient to soft and hard faults

2018 International Journal of High Performance Computing Applications
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Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions

2018 SIAM Journal on Scientific Computing
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Discrete A Priori Bounds for the Detection of Corrupted PDE Solutions in Exascale Computations

2017 SIAM Journal on Scientific Computing
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A resilient domain decomposition polynomial chaos solver for uncertain elliptic PDEs

2017 Computer Physics Communications
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