The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
D Schillinger, M Ruess - Archives of Computational Methods in …, 2015 - Springer
The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
Mathematical analysis of variational isogeometric methods
This review paper collects several results that form part of the theoretical foundation of
isogeometric methods. We analyse variational techniques for the numerical resolution of …
isogeometric methods. We analyse variational techniques for the numerical resolution of …
Digital twin: Values, challenges and enablers from a modeling perspective
Digital twin can be defined as a virtual representation of a physical asset enabled through
data and simulators for real-time prediction, optimization, monitoring, controlling, and …
data and simulators for real-time prediction, optimization, monitoring, controlling, and …
[图书][B] Numerical models for differential problems
A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Digital twin: Values, challenges and enablers
A digital twin can be defined as an adaptive model of a complex physical system. Recent
advances in computational pipelines, multiphysics solvers, artificial intelligence, big data …
advances in computational pipelines, multiphysics solvers, artificial intelligence, big data …
Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods
This paper presents an acoustic topology optimization approach using isogeometric
boundary element methods based on subdivision surfaces to optimize the distribution of …
boundary element methods based on subdivision surfaces to optimize the distribution of …
THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
Local refinement with hierarchical B-spline structures is an active topic of research in the
context of geometric modeling and isogeometric analysis. By exploiting a multilevel control …
context of geometric modeling and isogeometric analysis. By exploiting a multilevel control …
Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution
Most modeling approaches lie in either of the two categories: physics‐based or data‐driven.
Recently, a third approach which is a combination of these deterministic and statistical …
Recently, a third approach which is a combination of these deterministic and statistical …
An adaptive phase-field simulation for hydrogen embrittlement fracture with multi-patch isogeometric method
Z Si, T Yu, S Natarajan - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
This work proposes a phase-field framework for hydrogen-assisted failures of brittle
materials using multi-patch isogeometric modeling, considering the effects of hydrogen …
materials using multi-patch isogeometric modeling, considering the effects of hydrogen …
Adaptive isogeometric methods with hierarchical splines: error estimator and convergence
A Buffa, C Giannelli - Mathematical Models and Methods in Applied …, 2016 - World Scientific
The problem of developing an adaptive isogeometric method (AIGM) for solving elliptic
second-order partial differential equations with truncated hierarchical B-splines of arbitrary …
second-order partial differential equations with truncated hierarchical B-splines of arbitrary …