Stability and conditioning of immersed finite element methods: analysis and remedies
This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …
methods over the past decade. The main focus is the analysis and the treatment of the …
Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
Following a series of recent innovations, isogeometric shell analysis based on trimmed CAD
surfaces is currently being developed into an accurate, efficient and mature design-through …
surfaces is currently being developed into an accurate, efficient and mature design-through …
Phase-field modeling of brittle fracture with multi-level hp-FEM and the finite cell method
S Nagaraja, M Elhaddad, M Ambati… - Computational …, 2019 - Springer
The difficulties in dealing with discontinuities related to a sharp crack are overcome in the
phase-field approach for fracture by modeling the crack as a diffusive object being described …
phase-field approach for fracture by modeling the crack as a diffusive object being described …
Higher-order meshing of implicit geometries—Part I: Integration and interpolation in cut elements
TP Fries, S Omerović, D Schöllhammer… - Computer Methods in …, 2017 - Elsevier
An accurate implicit description of geometries is enabled by the level-set method. Level-set
data is given at the nodes of a higher-order background mesh and the interpolated zero …
data is given at the nodes of a higher-order background mesh and the interpolated zero …
A parameter-free variational coupling approach for trimmed isogeometric thin shells
The non-symmetric variant of Nitsche's method was recently applied successfully for
variationally enforcing boundary and interface conditions in non-boundary-fitted …
variationally enforcing boundary and interface conditions in non-boundary-fitted …
[图书][B] Encyclopedia of continuum mechanics
H Altenbach, A Öchsner - 2020 - Springer
In the 1970s during decomposition of hydrocarbons, small diameter carbon fibers were
observed, but because of limitation on characterization and measurement they were not …
observed, but because of limitation on characterization and measurement they were not …
[HTML][HTML] Error-estimate-based adaptive integration for immersed isogeometric analysis
Abstract The Finite Cell Method (FCM) together with Isogeometric analysis (IGA) has been
applied successfully in various problems in solid mechanics, in image-based analysis, fluid …
applied successfully in various problems in solid mechanics, in image-based analysis, fluid …
A diffuse interface method for the Navier–Stokes/Darcy equations: Perfusion profile for a patient-specific human liver based on MRI scans
SKF Stoter, P Müller, L Cicalese, M Tuveri… - Computer Methods in …, 2017 - Elsevier
We present a diffuse interface method for coupling free and porous-medium-type flows
modeled by the Navier–Stokes and Darcy equations. Its essential component is a diffuse …
modeled by the Navier–Stokes and Darcy equations. Its essential component is a diffuse …
Multi‐level hp‐finite cell method for embedded interface problems with application in biomechanics
M Elhaddad, N Zander, T Bog, L Kudela… - … journal for numerical …, 2018 - Wiley Online Library
This work presents a numerical discretization technique for solving 3‐dimensional material
interface problems involving complex geometry without conforming mesh generation. The …
interface problems involving complex geometry without conforming mesh generation. The …
Industrial scale Large Eddy Simulations with adaptive octree meshes using immersogeometric analysis
We present a variant of the immersed boundary method integrated with octree meshes for
highly efficient and accurate Large Eddy Simulations (LES) of flows around complex …
highly efficient and accurate Large Eddy Simulations (LES) of flows around complex …