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 …
Isogeometric contact: a review
This paper reviews the currently available computational contact formulations within the
framework of isogeometric analysis (IGA). As opposed to conventional Lagrange …
framework of isogeometric analysis (IGA). As opposed to conventional Lagrange …
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 …
An extended isogeometric thin shell analysis based on Kirchhoff–Love theory
An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …
[KNIHA][B] The mimetic finite difference method for elliptic problems
This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …
difference method for a wide class of multidimensional elliptic problems, which includes …
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 …
Mimetic finite difference method
The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …
and physical systems including conservation laws, symmetry and positivity of solutions …
Virtual element methods for plate bending problems
We discuss the application of Virtual Elements to linear plate bending problems, in the
Kirchhoff–Love formulation. As we shall see, in the Virtual Element environment the …
Kirchhoff–Love formulation. As we shall see, in the Virtual Element environment the …
The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches
In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …
structures comprised of multiple patches. The structural patches are C1-or higher-order …
Local refinement of analysis-suitable T-splines
We develop a local refinement algorithm for analysis-suitable T-splines which does not
produce excessive propagation of control points. We then demonstrate its use as an …
produce excessive propagation of control points. We then demonstrate its use as an …