17 citations · 21 across the 3 of their papers we have counts for
6 papers
Isogeometric Bézier dual mortaring: The biharmonic problem
Di Miao, Michael A. Scott, Michael J. Borden +2
In this paper we develop an isogeometric Bézier dual mortar method for the biharmonic problem on multi-patch domains. The well-posedness of the discrete biharmonic problem requires…
Hierarchical B-spline complexes of discrete differential forms
John A. Evans, Michael A. Scott, Kendrick Shepherd +2
In this paper, we introduce the hierarchical B-spline complex of discrete differential forms for arbitrary spatial dimension. This complex may be applied to the adaptive isogeometr…
Bézier Projection
Di Miao, Michael J. Borden, Michael A. Scott +1
In this paper we demonstrate the use of Bézier projection to alleviate locking phenomena in structural mechanics applications of isogeometric analysis. Interpreting the well-known…
Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis
Derek C. Thomas, Michael A. Scott, John A. Evans +2
We introduce Bézier projection as an element-based local projection methodology for B-splines, NURBS, and T-splines. This new approach relies on the concept of Bézier extraction an…
Hierarchical analysis-suitable T-splines: Formulation, Bézier extraction, and application as an adaptive basis for isogeometric analysis
Emily J. Evans, Michael A. Scott, Xin Li +1
In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. Th…
Analysis-suitable T-splines: characterization, refineability, and approximation
Xin Li, M. A. Scott
We establish several fundamental properties of analysis-suitable T-splines which are important for design and analysis. First, we characterize T-spline spaces and prove that the sp…