Results 61 to 70 of about 25,253,049 (241)
B\'{e}zier $\bar{B}$ Projection
, 2018 In this paper we demonstrate the use of B\'{e}zier projection to alleviate locking phenomena in structural mechanics applications of isogeometric analysis. Interpreting the well-known $\bar{B}$ projection in two different ways we develop two formulations
Borden, Michael J. +3 more
core +1 more source
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Computer Graphics Forum, EarlyView.Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley +1 more source
IG-LSPIA: Least Squares Progressive Iterative Approximation for Isogeometric Collocation Method
Mathematics, 2023 The isogeometric collocation method (IGA-C), which is a promising branch of isogeometric analysis (IGA), can be considered fitting the load function with the combination of the numerical solution and its derivatives.
Yini Jiang, Hongwei Lin
doaj +1 more source
Isogeometric Boundary Elements in Electromagnetism: Rigorous Analysis, Fast Methods, and Examples
, 2019 We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical setting around the electric field integral equation within the ...
Dölz, Jürgen +3 more
core +1 more source
Isogeometric Analysis of FGM Plates
Materials Today: Proceedings, 2018 Abstract This work presents an isogeometric formulation for the geometrically nonlinear analysis of functionally graded material (FGM) plates. FGM plates are made of a mixture of two components (ceramic and metal) whose volume fractions vary smoothly along the thickness.
Samir P. Auad +4 more
openaire +1 more source
DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping
Computer Graphics Forum, EarlyView.Abstract An algorithm for cutting solid objects in a topology‐controlled manner is presented. Concretely, given a loop on the object boundary, a disk‐topology cut surface bounded by the loop is constructed in the interior. In contrast to various previous approaches, both disk topology and conformance to the prescribed loop are ensured by construction ...
S. Hinderink, M. Campen
wiley +1 more source
Isogeometric analysis of two-dimensional piezoelectric structures
Vietnam Journal of Mechanics, 2013 The isogeometric analysis (IGA) that integrates Computer Aided Design(CAD) and Computer Aided Engineering (CAE) is found so far the effectively numerical tool for the analysis of a variety of practical problems.
Hoang H. Truong +2 more
doaj +1 more source
Isogeometric analysis: vibration analysis, Fourier and wavelet spectra [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2017 This paper presents the Fourier and wavelet characterization of vibration problem. To determine the natural frequencies, modal damping and mass participation factors of bars, a rod element is established by means ofisogeometric formulation.
Erfan Shafei, Shirko Faroughi
doaj +1 more source
Mixed Isogeometric Analysis of the Brinkman Equation
Mathematics, 2023 This study focuses on numerical solution to the Brinkman equation with mixed Dirichlet–Neumann boundary conditions utilizing isogeometric analysis (IGA) based on non-uniform rational B-splines (NURBS) within the Galerkin method framework.
Lahcen El Ouadefli +5 more
doaj +1 more source
Computer Methods in Applied Mechanics and Engineering, 2021 This article investigates the theoretical and numerical analysis as well as applications of the three-dimensional theory of first strain gradient elasticity.
S. B. Hosseini, J. Niiranen
semanticscholar +1 more source