Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems
This work presents an h p-adaptive variant of multi-element polynomial chaos expansion
(ME-gPCE), referred to as anisotropic multi-element polynomial chaos expansion (AME …
(ME-gPCE), referred to as anisotropic multi-element polynomial chaos expansion (AME …
Investigations on the restrictions of stochastic collocation methods for high dimensional and nonlinear engineering applications
Sophisticated sampling techniques used for solving stochastic partial differential equations
efficiently and robustly are still in a state of development. It is known in the scientific …
efficiently and robustly are still in a state of development. It is known in the scientific …
Karhunen-Loève expansion based on an analytical solution over a bounding box domain
This paper explores the accuracy and the efficiency of analytical solution of Fredholm
integral equation to represent a random field on complex geometry. Because no analytical …
integral equation to represent a random field on complex geometry. Because no analytical …
Time-separated stochastic mechanics for the simulation of viscoelastic structures with local random material fluctuations
Simulating structures with history-dependent material models and uncertain material
parameters is often computationally expensive. In contrast, the time-separated stochastic …
parameters is often computationally expensive. In contrast, the time-separated stochastic …
A novel multi-physics coupling model for the stochastic analysis of phased arrays considering material spatial uncertainty
SZ Feng, QJ Sun, S Xiao, X Han, YB Li, ZX Li - Applied Mathematical …, 2024 - Elsevier
A random field based thermal-structural-electromagnetic (RF-TSE) coupling model is
proposed to deal with the stochastic analysis of the Active Phased Array Antenna (APAA) …
proposed to deal with the stochastic analysis of the Active Phased Array Antenna (APAA) …
Sparse polynomial chaos expansion for high-dimensional nonlinear damage mechanics
E dos Santos Oliveira, U Nackenhorst - Probabilistic Engineering …, 2024 - Elsevier
Abstract Finite Element Simulations in solid mechanics are nowadays common practice in
engineering. However, considering uncertainties based on this powerful method remains a …
engineering. However, considering uncertainties based on this powerful method remains a …
采用Karhunen-Loève 分解计算堤坝沉降区间场
周婷， 介玉新， 张延亿 - 水力发电学报, 2024 - slfdxb.cn
大坝的建造以及运行过程中受多种内外部多因素耦合作用, 其沉降分析是复杂, 非线性问题,
采用非概率区间方法构造大坝沉降区间有利于定量描述多源不确定信息, 使计算更加吻合实际 …
采用非概率区间方法构造大坝沉降区间有利于定量描述多源不确定信息, 使计算更加吻合实际 …
[PDF][PDF] An Interpolation Method for Karhunen-Loève Expansion of Random Field Discretization.
Z Han, Z Huang - CMES-Computer Modeling in Engineering & …, 2024 - cdn.techscience.cn
In the context of global mean square error concerning the number of random variables in the
representation, the Karhunen–Loève (KL) expansion is the optimal series expansion …
representation, the Karhunen–Loève (KL) expansion is the optimal series expansion …
[图书][B] Numerical treatment of imprecise random fields in non-linear solid mechanics
MM Dannert - 2023 - repo.uni-hannover.de
The quantification and propagation of mixed uncertain material parameters in the context of
solid mechanical finite element simulations is studied. While aleatory uncertainties appear in …
solid mechanical finite element simulations is studied. While aleatory uncertainties appear in …