Uncertainty analysis in acoustics: perturbation methods and isogeometric boundary element methods

L Chen, H Lian, R Huo, J Du, W Liu, Z Meng… - Engineering with …, 2024 - Springer
This study proposes a generalized n th-order perturbation method based on (isogeometric)
boundary element methods for uncertainty analysis in 3D acoustic scattering problems. In …

Fitted meshes on an unfitted grid based on scaled boundary finite element analysis

VS Suvin, M Arrutselvi, ET Ooi, C Song… - … Analysis with Boundary …, 2024 - Elsevier
Traditional domain based discretization techniques (both mesh based and meshless
methods), require a conforming discretization to capture the boundary/interfaces present in a …

[PDF][PDF] A novel hierarchical multiresolution framework using CutFEM

E Mikaeili, S Claus, P Kerfriden - arXiv preprint arXiv:2201.04698, 2022 - academia.edu
In this paper, we propose a robust concurrent multiscale method for continuum-continuum
coupling based on the cut finite element method. The computational domain is defined in a …

Local uncovering of unresolved physics in structural mechanics: seamless choice of modelling resolution using a CutFEM level-set approach

E Mikaeili, P Kerfriden, S Claus - arXiv preprint arXiv:2201.04698, 2022 - arxiv.org
In this paper, we present a robust and efficient unfitted concurrent multiscale method for
continuum-continuum coupling, based on the Cut Finite Element Method (CutFEM). The …

Isogeometric Boundary Element Method for Solving the Integral Equations at the Interface of Multiple Media for Two-Dimensional Solid Mechanical Problem

K Li - Isogeometric Boundary Element Method for Solving the … - papers.ssrn.com
In order to study the stresses and displacements in different multi-media, we have used the
isogeometric boundary element method to model complex two-dimensional structures in this …

Numerical Integration of Partial Differential Equations

JP Corriou, JP Corriou - Numerical Methods and Optimization: Theory and …, 2021 - Springer
A very large range of efficient techniques are exposed for solving partial differential
equations. Various physical systems illustrate the different PDEs. The mathematical …