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

By Y. Sudhakar, Wolfgang A. Wall. 2013

116 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/bcebada1fcc746050af62fc5e072494f1baa355c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Natarajan Sukumar
2. Elena Benvenuti
3. Jean B. Lasserre
4. Giulio Ventura

In Computational Mechanics

1. Elena Benvenuti
2. Natarajan Sukumar
3. Giulio Ventura
4. Jean B. Lasserre
5. Eric B. Chin
6. Stéphane P.A. Bordas
7. S. Mousavi
8. Carlos Armando Duarte

In Mechanics of Materials

1. Elena Benvenuti
2. Natarajan Sukumar
3. Giulio Ventura
4. Jean B. Lasserre
5. Eric B. Chin
6. Stéphane P.A. Bordas
7. Ted Belytschko
8. Carlos Armando Duarte

Citations in the corpus

• Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra (2015, background): “For further details on these three approaches, the interested reader can refer to Sudhakar et al. [3].”
• Equivalent polynomials for quadrature in Heaviside function enriched elements (2015, methodology): “Alternatively, approaches based on the application of the Gauss–Green theorem to the two subdomains have been successfully used as well [23].”