Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement

TL;DR: In this article , the authors presented a method for topology optimization of vibrating structures interacted with acoustic wave for the purpose of minimizing radiated sound power level, which is performed through density-based approaches, in which the sensitivities are evaluated with adjoint variable methods.

TL;DR: In this paper, a mesh-free discretization technique in terms of the reproducing kernel particle method is presented for accurately evaluating mixed-mode intensity factors of cracked shear-deformable plates.

TL;DR: In this paper, a fast Fourier transform (FFT) based method was used to solve two phase field models designed to simulate crack growth of strongly anisotropic materials in the brittle regime.

TL;DR: A nonlinear and inelastic intelligent meta element for history-dependent boundary value problems and fully compatible with conventional finite elements, it can be used to assemble larger structures.

TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.

TL;DR: Spectral methods have been widely used in simulation of stability, transition, and turbulence as discussed by the authors, and their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed.

TL;DR: This chapter discusses the construction of B-spline Curves and Surfaces using Bezier Curves, as well as five Fundamental Geometric Algorithms, and their application to Curve Interpolation.