Isogeometric analysis: an overview and computer implementation aspects
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …
A review of trimming in isogeometric analysis: challenges, data exchange and simulation aspects
We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …
computational simulation. Such models are omnipresent in current engineering modeling …
Meshfree methods: progress made after 20 years
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …
methods with considerable success. In addition, a significant amount of progress has been …
[BUKU][B] Generalized locally Toeplitz sequences: theory and applications
C Garoni, S Serra-Capizzano - 2017 - Springer
Sequences of matrices with increasing size naturally arise in several contexts and especially
in the discretization of continuous problems, such as integral and differential equations. The …
in the discretization of continuous problems, such as integral and differential equations. The …
Isogeometric boundary element analysis using unstructured T-splines
We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
A two-dimensional isogeometric boundary element method for elastostatic analysis
The concept of isogeometric analysis, where functions that are used to describe geometry in
CAD software are used to approximate the unknown fields in numerical simulations, has …
CAD software are used to approximate the unknown fields in numerical simulations, has …
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …
element methods with respect to the cost of forming the matrix and residual vector, the cost …
A large deformation, rotation-free, isogeometric shell
Conventional finite shell element formulations use rotational degrees of freedom to describe
the motion of the fiber in the Reissner–Mindlin shear deformable shell theory, resulting in an …
the motion of the fiber in the Reissner–Mindlin shear deformable shell theory, resulting in an …
Stabilized Lagrange interpolation collocation method: A meshfree method incorporating the advantages of finite element method
L Wang, M Hu, Z Zhong, F Yang - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Since most approximation functions in meshfree methods are rational functions which do not
possess the Kronecker delta property, how to achieve exact integration and accurately …
possess the Kronecker delta property, how to achieve exact integration and accurately …
Contact treatment in isogeometric analysis with NURBS
We study NURBS-based isogeometric analysis of contact problems and compare with
standard C0-continuous Lagrange finite elements. A knot-to-surface (KTS) algorithm is …
standard C0-continuous Lagrange finite elements. A knot-to-surface (KTS) algorithm is …