Faster computation of the Karhunen-Loève expansion using its domain independence property
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Publication:1798550
DOI10.1016/j.cma.2014.10.053zbMath1425.65014OpenAlexW2001536106MaRDI QIDQ1798550
Publication date: 23 October 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.10.053
Random fields (60G60) Probabilistic models, generic numerical methods in probability and statistics (65C20) Numerical methods for integral equations (65R20) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Random integral equations (45R05)
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Cites Work
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- Numerical methods for the discretization of random fields by means of the Karhunen-Loève expansion
- The stochastic finite element method: past, present and future
- Improving the computational efficiency in finite element analysis of shells with uncertain properties
- Uncertainty assessment of large finite element systems.
- Application of hierarchical matrices for computing the Karhunen-Loève expansion
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- Random field models of heterogeneous materials
- Stochastic finite element analysis of shells with combined random material and geometric properties.
- Karhunen-Loève approximation of random fields by generalized fast multipole methods
- An extended stochastic finite element method for solving stochastic partial differential equations on random domains
- Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes
- A Fourier-Karhunen-Loève discretization scheme for stationary random material properties in SFEM
- On the numerical expansion of a second order stochastic process
- The Numerical Solution of Integral Equations of the Second Kind