Matches in SemOpenAlex for { <https://semopenalex.org/work/W4321337769> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4321337769 abstract "Uncertainty quantification (UQ) tasks, such as sensitivity analysis and parameter estimation, entail a huge computational complexity when dealing with input-output maps involving the solution of nonlinear differential problems, because of the need to query expensive numerical solvers repeatedly. Projection-based reduced order models (ROMs), such as the Galerkin-reduced basis (RB) method, have been extensively developed in the last decades to overcome the computational complexity of high fidelity full order models (FOMs), providing remarkable speedups when addressing UQ tasks related with parameterized differential problems. Nonetheless, constructing a projection-based ROM that can be efficiently queried usually requires extensive modifications to the original code, a task which is non-trivial for nonlinear problems, or even not possible at all when proprietary software is used. Non-intrusive ROMs - which rely on the FOM as a black box - have been recently developed to overcome this issue. In this work, we consider ROMs exploiting proper orthogonal decomposition to construct a reduced basis from a set of FOM snapshots, and Gaussian process regression (GPR) to approximate the RB projection coefficients. Two different approaches, namely a global GPR and a tensor-decomposition-based GPR, are explored on a set of 3D time-dependent solid mechanics examples. Finally, the non-intrusive ROM is exploited to perform global sensitivity analysis (relying on both screening and variance-based methods) and parameter estimation (through Markov chain Monte Carlo methods), showing remarkable computational speedups and very good accuracy compared to high-fidelity FOMs." @default.
- W4321337769 created "2023-02-19" @default.
- W4321337769 creator A5005197459 @default.
- W4321337769 creator A5005525255 @default.
- W4321337769 creator A5038341430 @default.
- W4321337769 creator A5040645637 @default.
- W4321337769 creator A5082126056 @default.
- W4321337769 date "2023-02-16" @default.
- W4321337769 modified "2023-09-29" @default.
- W4321337769 title "Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression" @default.
- W4321337769 doi "https://doi.org/10.48550/arxiv.2302.08216" @default.
- W4321337769 hasPublicationYear "2023" @default.
- W4321337769 type Work @default.
- W4321337769 citedByCount "0" @default.
- W4321337769 crossrefType "posted-content" @default.
- W4321337769 hasAuthorship W4321337769A5005197459 @default.
- W4321337769 hasAuthorship W4321337769A5005525255 @default.
- W4321337769 hasAuthorship W4321337769A5038341430 @default.
- W4321337769 hasAuthorship W4321337769A5040645637 @default.
- W4321337769 hasAuthorship W4321337769A5082126056 @default.
- W4321337769 hasBestOaLocation W43213377691 @default.
- W4321337769 hasConcept C11413529 @default.
- W4321337769 hasConcept C119857082 @default.
- W4321337769 hasConcept C121332964 @default.
- W4321337769 hasConcept C126255220 @default.
- W4321337769 hasConcept C158622935 @default.
- W4321337769 hasConcept C32230216 @default.
- W4321337769 hasConcept C33923547 @default.
- W4321337769 hasConcept C41008148 @default.
- W4321337769 hasConcept C57493831 @default.
- W4321337769 hasConcept C62520636 @default.
- W4321337769 hasConcept C81692654 @default.
- W4321337769 hasConceptScore W4321337769C11413529 @default.
- W4321337769 hasConceptScore W4321337769C119857082 @default.
- W4321337769 hasConceptScore W4321337769C121332964 @default.
- W4321337769 hasConceptScore W4321337769C126255220 @default.
- W4321337769 hasConceptScore W4321337769C158622935 @default.
- W4321337769 hasConceptScore W4321337769C32230216 @default.
- W4321337769 hasConceptScore W4321337769C33923547 @default.
- W4321337769 hasConceptScore W4321337769C41008148 @default.
- W4321337769 hasConceptScore W4321337769C57493831 @default.
- W4321337769 hasConceptScore W4321337769C62520636 @default.
- W4321337769 hasConceptScore W4321337769C81692654 @default.
- W4321337769 hasLocation W43213377691 @default.
- W4321337769 hasOpenAccess W4321337769 @default.
- W4321337769 hasPrimaryLocation W43213377691 @default.
- W4321337769 hasRelatedWork W2315164440 @default.
- W4321337769 hasRelatedWork W2333698505 @default.
- W4321337769 hasRelatedWork W2351491280 @default.
- W4321337769 hasRelatedWork W2360154135 @default.
- W4321337769 hasRelatedWork W2371447506 @default.
- W4321337769 hasRelatedWork W2386767533 @default.
- W4321337769 hasRelatedWork W2950462576 @default.
- W4321337769 hasRelatedWork W2972680634 @default.
- W4321337769 hasRelatedWork W303980170 @default.
- W4321337769 hasRelatedWork W4205395539 @default.
- W4321337769 isParatext "false" @default.
- W4321337769 isRetracted "false" @default.
- W4321337769 workType "article" @default.