An analytical method for linear elliptic PDEs and its numerical implementation

By Scott R. Fulton, A. S. Fokas, C. Xenophontos. 2004

57 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/1c607983a362310396d1d764c71abf51eed688a7

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. Natasha Flyer
2. Bengt Fornberg
3. Scott R. Fulton
4. A. G. Sifalakis
5. Y. G. Saridakis
6. Robert Schaback
7. Gregory E. Fasshauer
8. Beatrice Pelloni

In Numerical Analysis

1. Bengt Fornberg
2. Natasha Flyer
3. Scott R. Fulton
4. A. S. Fokas
5. A. G. Sifalakis
6. Y. G. Saridakis
7. Jonatan Lenells
8. Beatrice Pelloni

Citations in the corpus

• The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation (2008, methodology): “In this paper, aiming to improve and stabilize the order of convergence and the associated conditioning number of the collocation method in [11], we use a different set of collocation points (the values of the complex parameter k): we use the values specified by Eq.”
• A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain (2011, methodology): “implementations of this new analytical formulation have been limited to a relatively low O(N −2) algebraic rate of convergence (Fulton et al. 2004; Fokas 2008; Fokas et al. 2009), thus using relatively large N -values and iterative solution procedures.”