Orthogonal spline collocation methods for partial di erential equations

By B. Bialecki, Graeme Fairweather. 2001

143 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5e71df13b649c95ff6ae23d856fc8c3c7bf28f95

How researchers see this paper

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

In Mechanics of Materials

1. Thomas J. R. Hughes
2. Alessandro Reali
3. Dominik Schillinger
4. Michael A. Scott
5. John A. Evans
6. Robert Schaback
7. Holger Wendland
8. Laura De Lorenzis

In Numerical Analysis

1. Thomas J. R. Hughes
2. John A. Evans
3. Alessandro Reali
4. Dominik Schillinger
5. Enzo Marino

Citations in the corpus

• Isogeometric Collocation: Cost Comparison with Galerkin Methods and Extension to Adaptive Hierarchical NURBS Discretizations (2013, background): “Examples are orthogonal collocation on Gauss-type quadrature points [97,63], the maxima of spline basis functions [64,98], and the Demko points [99,51].”
• Kernel techniques: From machine learning to meshless methods (2006, background): “More modern applications (Bialecki and Fairweather 2001, Bialecki, Ganesh and Mustapha 2004) have the same theoretical basis, but also do not apply kernel techniques.”