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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 04/2017, Volume 316, pp. 424 - 448
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 02/2018, Volume 113, Issue 6, pp. 999 - 1019
We present 2 adaptive refinement techniques, namely, adaptive local refinement and adaptive hierarchical refinement, for isogeometric analysis. An element‐wise... 
hierarchical T‐splines | Bézier extraction | LR T‐splines | adaptive refinement | isogeometric analysis | LR T-splines | hierarchical T-splines | POLYNOMIAL SPLINES | MESHES | Bezier extraction | CAD | T-SPLINES | NURBS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | LR B-SPLINES | Solution space | Splines | Mathematical analysis | Adaptive algorithms
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 03/2012, Volume 213-216, pp. 206 - 222
We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its... 
Isogeometric analysis | T-splines | Bézier extraction | Local refinement | Bezier extraction | CAD | MESH | FLUID-STRUCTURE INTERACTION | NONLINEAR ELASTICITY | NURBS | CONTINUITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | Analysis | Algorithms
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 07/2015, Volume 291, pp. 1 - 20
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2011, Volume 200, Issue 49, pp. 3554 - 3567
► We present hierarchical adaptive local refinements for isogeometric analysis. ► The theoretical properties of the spline space ensure key requirements. ► The... 
Isogeometric analysis | Adaptivity | Local refinement | Hierarchical B-splines | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MESHES | ENGINEERING, MULTIDISCIPLINARY | APPROXIMATION | SPLINES | Finite element method | Permissible error | Partitions | Computer simulation | Unity | Mathematical analysis | Splines | Mathematical models
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 03/2019, Volume 88, Issue 316, pp. 751 - 782
The local red-green mesh refinement of consistent, simplicial meshes in d dimensions is considered. We give a constructive solution to the green closure... 
Red-green refinement | Local mesh refinement | Green closure | Simplicial meshes | Kuhn triangulation | simplicial meshes | MATHEMATICS, APPLIED | red-green refinement | green closure | FINITE-ELEMENT METHODS
Journal Article
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2010, Volume 199, Issue 5, pp. 264 - 275
Isogeometric analysis based on non-uniform rational B-splines (NURBS) as basis functions preserves the exact geometry but suffers from the drawback of a... 
Isogeometric analysis | Adaptivity | T-splines | A posteriori error estimation | CAD | NURBS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MESHES | ENGINEERING, MULTIDISCIPLINARY
Journal Article
Computer Physics Communications, ISSN 0010-4655, 11/2018, Volume 232, pp. 104 - 123
In this study, an immersed boundary (IB) approach on the basis of moving least squares (MLS) interpolation is proposed for analyzing the dynamic response of a... 
MLS interpolation | CIP-CSL | Adaptive mesh | Fluid–structure interaction | Immersed boundary method | Incompressible flows | UNSTEADY AERODYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BODIES | NUMERICAL SIMULATIONS | PLATES | PHYSICS, MATHEMATICAL | Fluid-structure interaction | Specific gravity | Analysis
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 11, pp. 4268 - 4284
In this article we present the extension of the error estimation and goal-oriented mesh refinement approach from laminar to turbulent flows, which are governed... 
Discontinuous Galerkin method | Error estimation | Turbulent flows | Goal-oriented mesh refinement
Journal Article