Spectral Mesh-Free Quadrature for Planar Regions Bounded by Rational Parametric Curves

A moment-vector approach to interoperable analysis

(2018) Andrew Taber et al.   COMPUTER-AIDED DESIGN

Shape Aware Quadratures

(2018) Vaidyanathan Thiagarajan et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-Order Multi-Material ALE Hydrodynamics

(2018) Robert W. Anderson et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical Integration in Multiple Dimensions with Designed Quadrature

(2018) Vahid Keshavarzzadeh et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Isogeometric triangular Bernstein–Bézier discretizations: Automatic mesh generation and geometrically exact finite element analysis

(2016) Luke Engvall et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra

(2015) Eric B. Chin et al.   COMPUTATIONAL MECHANICS

An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves

(2015) David Kamensky et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles

(2015) R. I. Saye   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Adaptively weighted numerical integration over arbitrary domains

(2014) Vaidyanathan Thiagarajan et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods

(2013) Y. Sudhakar et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

The Bernstein polynomial basis: A centennial retrospective

(2012) Rida T. Farouki   COMPUTER AIDED GEOMETRIC DESIGN

An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

(2012) Dominik Schillinger et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method

(2010) Erik Burman et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

High order interface reconstruction for the volume of fluid method

(2010) Joris C.G. Verschaeve   COMPUTERS & FLUIDS

Isogeometric finite element data structures based on Bézier extraction of NURBS

(2010) Michael J. Borden et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Computing rational Gauss–Chebyshev quadrature formulas with complex poles: The algorithm

(2009) Karl Deckers et al.   ADVANCES IN ENGINEERING SOFTWARE

Isogeometric analysis using T-splines

(2009) Y. Bazilevs et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Generalized Gaussian quadrature rules on arbitrary polygons

(2009) S. E. Mousavi et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Gauss–Green cubature and moment computation over arbitrary geometries

(2009) Alvise Sommariva et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Efficient quadrature for NURBS-based isogeometric analysis

(2008) T.J.R. Hughes et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING