A numerical computation for inverse boundary determination problem

By Yiu Chung Benny Hon, Zongmin Wu. 2000

66 citations recorded by the source corpus.

Subfields: Mathematical Physics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ae2db01fb1798f75d9feb99b4f6fb2c13fd3239a

How researchers see this paper

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

In Mathematical Physics

In Mechanics of Materials

Citations in the corpus

Direct solution of ill‐posed boundary value problems by radial basis function collocation method (2005, methodology): “These results are comparable with Hon and Wu’s solution [12].”
A survey of applications of the MFS to inverse problems (2011, methodology): “1) was first solved by a meshless method in [98] where the authors used linear combinations of harmonic functions (not fundamental solutions) to approximate the solution.”
Recent Advances in Radial Basis Function Collocation Methods (2013, methodology): “’’ High-order polyharmonic solutions Based on Hon and Wu’s work [27], the high-order polyharmonic functions in twoand three- dimensional problems are constructed by Chen and Fu [29, 30].”
Kernel techniques: From machine learning to meshless methods (2006, methodology): “…techniques, it is much simpler, has a fundamentally different flavour and already quite some history in the context of meshless methods for partial differential equations (Dubal 1994, Hon and Wu 2000a, Zhou, Hon and Li 2003, Ingber, Chen and Tanski 2004, Li and Hon 2004, Ling and Kansa 2004).”
Potential Problems by Singular Boundary Method Satisfying Moment Condition (2009, methodology): “…remedy this problem, the different schemes have been proposed, for example, employing the translate-invariant 2D Laplacian harmonic function proposed by Hon and Wu (2000) or the nonsingular general solutions of Helmholtz or modified Helmholtz operators proposed by Chen, Shen, Shen and Yuan (2005).”