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Overlapping Schwarz Methods for Isogeometric Analysis [PDF]
SIAM Journal on Numerical Analysis, 2012 We construct and analyze an overlapping Schwarz preconditioner for elliptic problems discretized with isogeometric analysis. The preconditioner is based on partitioning the domain of the problem into overlapping subdomains, solving local isogeometric problems on these subdomains, and solving an additional coarse isogeometric problem associated with the
L. Beirao da Veiga +3 more
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The Electrochemical Machining Analysis of Aeroengine Blade Based on Isogeometric Method
Advances in Mechanical Engineering, 2015 Electrochemical machining is an important method for the blade in aeroengine. Analysis of electric field in machining gap is the basis of cathode design.
Neng Wan, Ke Du, Rong Mo, Tao Chen
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Subdivision isogeometric analysis: a todo list
Dolomites Research Notes on Approximation, 2022 Summary: Subdivision techniques are natural when extending isogeometric analysis beyond regular grid control nets, i.e., to integrated design and analysis of irregular layouts in several variables. This report identifies and discusses several challenges that need to be addressed to place the use of subdivision techniques for isogeometric analysis on a ...
Dietz, Alexander +4 more
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Transient analysis of laminated composite plates using NURBS-based isogeometric analysis
Vietnam Journal of Mechanics, 2014 We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions ...
Lieu B. Nguyen +3 more
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Optimally refined isogeometric analysis
Procedia Computer Science, 2017 Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple C-continuity hyperplanes that act as separators during LU factorization [8]. In here, we further explore this venue by introducing
Garcia, D., Barton, M., Pardo, D.
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Stable isogeometric analysis of trimmed geometries [PDF]
Computer Methods in Applied Mechanics and Engineering, 2017 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
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Isogeometric shape sensitivity analysis [PDF]
WIT Transactions on The Built Environment, 2012 On a regular basis, engineering analysis requires stating and solving systems of partial differential equations (PDEs). The most powerful and widely extended techniques for solving PDEs are the so-called Weighted Residuals Methods. To this group belong, among others, the Finite Element Method (FEM), the Boundary Element Method (BEM), the Finite Volume ...
F. Navarrina +5 more
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ISOGEOMETRIC BEAM ELEMENT EXTENDED FOR GRIDSHELL ANALYSIS
Acta Polytechnica CTU Proceedings, 2018 The design of gridshell structures is a complicated process, as the resulting shape of structure depends on initial undeformed grid geometry as well as on the history of boundary conditions used to form the final structure.
Edita Dvořáková, Bořek Patzák
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Generalized B-Splines in Isogeometric Analysis [PDF]
, 2017 In this paper, we survey the use of generalized B-splines in isogeometric Galerkin and collocation methods. Generalized B-splines are a special class of Tchebycheffian B-splines and form an attractive alternative to standard polynomial B-splines and NURBS in both modeling and simulation.
Manni C., Roman F., Speleers H.
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Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis
Advanced Modeling and Simulation in Engineering Sciences, 2018 An entire design-through-analysis workflow solution for isogeometric B-Rep analysis (IBRA), including both the interface to existing CADs and the analysis procedure, is presented.
T. Teschemacher +6 more
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