Reliability of structures in high dimensions, part I: algorithms and applications

By P. Koutsourelakis, Helmut J. Pradlwarter, Gerhart I. Schuëller. 2004

394 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/0f4e2b72a01e9ed7a0f9c8d17e3e59d9cefc63fd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Iason Papaioannou
2. S. Pang
3. Stefano Marelli
4. Zdenek P. Bazant
5. Daniel Straub
6. Helmut J. Pradlwarter
7. Wolfgang Betz
8. Kilian Zwirglmaier

In Mechanics of Materials

1. Iason Papaioannou
2. Zdenek P. Bazant
3. S. Pang
4. Daniel Straub
5. Miroslav Vorechovský
6. Drahomír Novák
7. Gerhart I. Schuëller
8. Bruno Sudret

In Statistics and Probability

1. Iason Papaioannou
2. Daniel Straub
3. Stefano Marelli
4. Helmut J. Pradlwarter
5. Wolfgang Betz
6. Kilian Zwirglmaier
7. Gerhart I. Schuëller
8. Miroslav Vorechovský

Citations in the corpus

• Active learning for structural reliability: Survey, general framework and benchmark (2021, background): “, 1990), line sampling (Koutsourelakis et al., 2004) and asymptotic sampling (Bucher, 2009).”
• MCMC algorithms for Subset Simulation (2015, methodology): “…of random variables, a number of advanced simulation methods have been developed, including Subset Simulation (Au & Beck 2001), Spherical Subset Simulation (Katafygiotis & Cheung 2007), Line Sampling (Hohenbichler & Rackwitz 1988, Koutsourelakis et al. 2004) and Asymptotic Sampling (Bucher 2009).”
• Uncertainty analysis of complex structural systems (2009, background): “An alternative approach denoted as ‘average excursion probability flow’ has been proposed in [32] and applied in [33] in context with line sampling (LS) [34, 35].”
• Energetic–statistical size effect simulated by SFEM with stratified sampling and crack band model (2007, background): “To compute the tolerable loads of such extremely low Pf, effective SFEMs for extreme value statistics have been developed; they include the ‘importance sampling’ [5, 7, 8], ‘subset simulation’ [9, 10], ‘line sampling’ [11], von Neumann’s ‘splitting’, ‘Russian roulette’ [11], etc.”
• Learning soil parameters and updating geotechnical reliability estimates under spatial variability – theory and application to shallow foundations (2017, methodology): “The prior and posterior reliability are evaluated by application of the line sampling method (Hohenbichler and Rackwitz 1988; Koutsourelakis, Pradlwarter, and Schuëller 2004).”