Results 51 to 60 of about 23,065,756 (214)
DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping
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
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
Adaptive Isogeometric Methods for Boussinesq Problems [PDF]
Computational Fluid Dynamics (CFD) is the numerical study of fluid flow, heat transfer, turbulence modelling and several conservation laws. The fluids can be liquids, gases and even plasmas. There is a vast number of differential equations describing the
Abdulhaque, Abdullah
core
Smooth multi-patch discretizations in Isogeometric Analysis
With the aim of a seamless integration with Computer-Aided Design, Isogeometric Analysis has been proposed by Hughes et al. (2005) as a numerical technique for the solution of partial differential equations.
Toshniwal D. +3 more
core +1 more source
Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
wiley +1 more source
Isogeometric analysis of shells
The aim of this thesis is the development of a computational platform for the analysis of thin curved structures using the method of isogeometric analysis.
Syrmos, Meletis
core +1 more source
Quasi-interpolation in isogeometric analysis based on generalized B-splines
Isogeometric analysis is a new method for the numerical simulation of problems governed by partial differential equations. It possesses many features in common with finite element methods (FEM) but takes some inspiration from Computer Aided Design tools.
SAMPOLI, MARIA LUCIA +3 more
core +2 more sources
A Simple-FSDT-Based Isogeometric Method for Piezoelectric Functionally Graded Plates
An efficient isogeometric analysis method (IGA) based on a simple first-order shear deformation theory is presented to study free vibration, static bending response, dynamic response, and active control of functionally graded plates (FGPs) integrated ...
Tao Liu +4 more
doaj +1 more source
ABSTRACT The previously introduced X‐FFT solver permits solving three‐dimensional linear elastic homogenization problems with high accuracy and efficiency. Due to the extended finite element discretization (X‐FEM), matrix‐inclusion problems may be approximated with the error convergence of interface‐conforming finite elements.
Flavia Gehrig, Matti Schneider
wiley +1 more source
Tensor‐Train Compression of a Volume Integral Eddy Current Problem in Discontinuous Galerkin
ABSTRACT The paper presents a low‐rank tensor compression strategy based on the tensor‐train (TT) format for the integral operator arising in eddy current problems. Unlike classical matrix compression techniques such as the fast multipole method (FMM) or hierarchical matrices (ℋ$$ \mathscr{H} $$‐matrices), which typically compress only far‐field ...
Anthony Torosyan +5 more
wiley +1 more source

