A stochastic finite element scheme for solving partial differential equations defined on random domains
From MaRDI portal
Publication:2683445
DOI10.1016/j.cma.2022.115860OpenAlexW4313594547MaRDI QIDQ2683445
Zhibao Zheng, Udo Nackenhorst, Marcos A. Valdebenito, Michael A. Beer
Publication date: 10 February 2023
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.2022.115860
stochastic finite element methodrandom interfacesmesh transformationrandom domainsrandom isoparametric mapping
Related Items (2)
A nonlinear stochastic finite element method for solving elastoplastic problems with uncertainties ⋮ A stochastic LATIN method for stochastic and parameterized elastoplastic analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Integration of PGD-virtual charts into an engineering design process
- Analysis of the domain mapping method for elliptic diffusion problems on random domains
- Extended stochastic FEM for diffusion problems with uncertain material interfaces
- A new level-set based approach to shape and topology optimization under geometric uncertainty
- Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains
- Parametric solutions involving geometry: a step towards efficient shape optimization
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation
- Design-space dimensionality reduction in shape optimization by Karhunen-Loève expansion
- Finite elements for elliptic problems with stochastic coefficients
- Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems
- On solving elliptic stochastic partial differential equations
- A fictitious domain method for Dirichlet problem and applications
- Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations
- A hybrid collocation-perturbation approach for PDEs with random domains
- Structural stochastic responses determination via a sample-based stochastic finite element method
- Simulation of multi-dimensional random fields by Karhunen-Loève expansion
- A fictitious domain approach to the numerical solution of PDEs in stochastic domains
- An extended stochastic finite element method for solving stochastic partial differential equations on random domains
- Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids
- A weak-intrusive stochastic finite element method for stochastic structural dynamics analysis
- Stochastic finite elements of discretely parameterized random systems on domains with boundary uncertainty
- Stochastic projection schemes for deterministic linear elliptic partial differential equations on random domains
- eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces
- X-SFEM, a computational technique based on X-FEM to deal with random shapes
- Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions
- Numerical Methods for Differential Equations in Random Domains
- Spectral Methods for Uncertainty Quantification
- Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS
- Novel Superfluids
This page was built for publication: A stochastic finite element scheme for solving partial differential equations defined on random domains