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- Sandia National Laboratories CaliforniaUS256 papers
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4 papers · 2 filters
Multi-fidelity uncertainty quantification for homogenization problems in structure-property relationships from crystal plasticity finite elements
Anh Tran, Pieterjan Robbe, Theron Rodgers +1
Crystal plasticity finite element method (CPFEM) has been an integrated computational materials engineering (ICME) workhorse to study materials behaviors and structure-property rel…
Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching
Andrew J. Higgins, Daniel B. Szyld, Erik G. Boman +1
CholeskyQR2 and shifted CholeskyQR3 are two state-of-the-art algorithms for computing tall-and-skinny QR factorizations since they attain high performance on current computer archi…
Parameter Estimation with Maximal Updated Densities
Michael Pilosov, Carlos del-Castillo-Negrete, Tian Yu Yen +2
A recently developed measure-theoretic framework solves a stochastic inverse problem (SIP) for models where uncertainties in model output data are predominantly due to aleatoric (i…
Hierarchical off-diagonal low-rank approximation of Hessians in inverse problems, with application to ice sheet model initializaiton
Tucker Hartland, Georg Stadler, Mauro Perego +2
Obtaining lightweight and accurate approximations of Hessian applies in inverse problems governed by partial differential equations (PDEs) is an essential task to make both determi…