Least‐Squares Projected Models for Non‐Intrusive Affinization of Reduced Basis Methods
ABSTRACT Reduced‐basis methods (RBMs) constitute a promising technique for delivering numerical solutions of parameterized PDEs in real time and with reasonable accuracy. The most significant drawback of RBMs is the requirement of parametric affinity, a condition that only very trivial problems satisfy.
E. Fonn +6 more
wiley +1 more source
The Electrochemical Machining Analysis of Aeroengine Blade Based on Isogeometric Method
Electrochemical machining is an important method for the blade in aeroengine. Analysis of electric field in machining gap is the basis of cathode design.
Neng Wan, Ke Du, Rong Mo, Tao Chen
doaj +1 more source
Subdivision isogeometric analysis: a todo list
Summary: Subdivision techniques are natural when extending isogeometric analysis beyond regular grid control nets, i.e., to integrated design and analysis of irregular layouts in several variables. This report identifies and discusses several challenges that need to be addressed to place the use of subdivision techniques for isogeometric analysis on a ...
Dietz, Alexander +4 more
openaire +2 more sources
Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis
We define a conforming B-spline discretisation of the de Rham complex on multipatch geometries. We introduce and analyse the properties of interpolation operators onto these spaces which commute w.r.t. the surface differential operators.
Buffa, Annalisa +5 more
core +1 more source
Transient analysis of laminated composite plates using NURBS-based isogeometric analysis
We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions ...
Lieu B. Nguyen +3 more
doaj +1 more source
Optimally refined isogeometric analysis
Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple C-continuity hyperplanes that act as separators during LU factorization [8]. In here, we further explore this venue by introducing
Garcia, D., Barton, M., Pardo, D.
openaire +3 more sources
Stable isogeometric analysis of trimmed geometries [PDF]
We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splines that may lead to ill-conditioned system matrices. The construction for non-uniform knot vectors is presented.
Benjamin Marussig +3 more
openaire +2 more sources
Machine Learning‐Assisted Sensitivity Analysis for Stochastic Fatigue Life Modeling of Metals
ABSTRACT Predicting fatigue life with precision requires more than isolated evaluations of mechanical properties; it requires an integrated approach that captures the interdependencies between various parameters, including elastic modulus, tensile strength, yield strength, and strain‐hardening exponent.
Tran C. H. Nguyen, N. Vu‐Bac
wiley +1 more source
Robust isogeometric preconditioners for the Stokes system based on the Fast Diagonalization method
In this paper we propose a new class of preconditioners for the isogeometric discretization of the Stokes system. Their application involves the solution of a Sylvester-like equation, which can be done efficiently thanks to the Fast Diagonalization ...
Montardini, Monica +2 more
core +1 more source
ISOGEOMETRIC BEAM ELEMENT EXTENDED FOR GRIDSHELL ANALYSIS
The design of gridshell structures is a complicated process, as the resulting shape of structure depends on initial undeformed grid geometry as well as on the history of boundary conditions used to form the final structure.
Edita Dvořáková, Bořek Patzák
doaj +1 more source

