J
John A. Evans
Researcher at University of Colorado Boulder
Publications - 109
Citations - 5289
John A. Evans is an academic researcher from University of Colorado Boulder. The author has contributed to research in topics: Isogeometric analysis & Finite element method. The author has an hindex of 27, co-authored 89 publications receiving 4412 citations. Previous affiliations of John A. Evans include University of Texas at Austin & Rensselaer Polytechnic Institute.
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Journal ArticleDOI
Isogeometric analysis using T-splines
Yuri Bazilevs,Victor M. Calo,J. A. Cottrell,John A. Evans,Thomas J. R. Hughes,S. Lipton,Michael A. Scott,Thomas W. Sederberg +7 more
TL;DR: T-splines, a generalization of NURBS enabling local refinement, have been explored as a basis for isogeometric analysis in this paper, and they have shown good results on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases.
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An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
Dominik Schillinger,Dominik Schillinger,Luca Dedè,Michael A. Scott,John A. Evans,Michael J. Borden,Ernst Rank,Thomas J. R. Hughes +7 more
TL;DR: It is shown that hierarchical refinement considerably increases the flexibility of this approach by adaptively resolving local features of NURBS, which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions.
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An immersogeometric variational framework for fluid-structure interaction: Application to bioprosthetic heart valves
David Kamensky,Ming-Chen Hsu,Dominik Schillinger,John A. Evans,Ankush Aggarwal,Yuri Bazilevs,Michael S. Sacks,Thomas J. R. Hughes +7 more
TL;DR: This paper develops a geometrically flexible technique for computational fluid-structure interaction (FSI) that directly analyzes a spline-based surface representation of the structure by immersing it into a non-boundary-fitted discretization of the surrounding fluid domain, and introduces the term "immersogeometric analysis" to identify this paradigm.
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Isogeometric boundary element analysis using unstructured T-splines
Michael A. Scott,Robert Napier Simpson,John A. Evans,S. Lipton,Stéphane Bordas,Thomas J. R. Hughes,Thomas W. Sederberg +6 more
TL;DR: This work extends the definition of analysis-suitable T-splines to encompass unstructured control grids and develops basis functions which are smooth (rational) polynomials defined in terms of the Bezier extraction framework and which pass standard patch tests.
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n-Widths, sup–infs, and optimality ratios for the k-version of the isogeometric finite element method
TL;DR: This paper investigates the approximation properties of the k-method with the theory of Kolmogorov n-widths and conducts a numerical study in which the n- width and sup–inf are computed for a number of one-dimensional cases.