Journal ArticleDOI
Nonuniform web-splines
Klaus Höllig,Ulrich Reif +1 more
TLDR
It is shown that web-splines form a stable basis for splines on arbitrary domains in Rm which provides optimal approximation power and homogeneous boundary conditions, as encountered frequently in finite element applications, can be satisfied exactly by using an appropriate weight function.About:
This article is published in Computer Aided Geometric Design.The article was published on 2003-08-01. It has received 57 citations till now. The article focuses on the topics: Boundary knot method & Mixed finite element method.read more
Citations
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Journal ArticleDOI
A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects
TL;DR: The treatment of trimmed geometries in the context of design, data exchange, and computational simulation is reviewed.
Journal ArticleDOI
Isogeometric analysis for trimmed CAD surfaces
TL;DR: In this paper, an Isogeometric analysis for trimmed CAD surfaces in 2D linear elasticity problem is presented, where the information on the trimming curves and trimmed surfaces exported from CAD system is directly utilized for analysis.
Journal ArticleDOI
Isogeometric analysis of trimmed NURBS geometries
TL;DR: In this article, a local reconstruction technique using a geometric basis is developed and applied to evaluate the finite element constituents of the trimmed knot spans in terms of the underlying control variables, which gives rise to a new feature in the case of load application, what we refer to as Isogeometric Load Design.
Journal ArticleDOI
Introduction to the Web-method and its applications
TL;DR: This article reviews the construction of Web-bases and discusses their basic properties, and illustrates the performance of Ritz–Galerkin schemes for a model problem and applications in linear elasticity.
Journal ArticleDOI
Explicit isogeometric topology optimization using moving morphable components
TL;DR: This work proposes an explicit isogeometric topology optimization approach using MMCs that not only inherits the explicitness of the original MMC-based approach, but also embraces the merits of the IGA such as high-order continuity.
References
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Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Book
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide
TL;DR: The fourth edition has been thoroughly updated and revised to include a new chapter on recursive subdivision, as well as new sections on triangulations and scattered data interpolants, and the disk in the back of the book has been updated to include all of the programs, as the data sets from the text.
Book
Fundamentals of Computer Aided Geometric Design
TL;DR: A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools.
Book
Curves and Surfaces in Computer Aided Geometric Design
TL;DR: This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bzier and B-spline curves and surface, in a unified way so that beginners can easily understand the whole spectrum of parametric curve and surfaces.