2019
DOI: 10.1016/j.enganabound.2019.08.013
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Local singular boundary method for two-dimensional steady and unsteady potential flow

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Cited by 9 publications
(3 citation statements)
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“…The localization of the global SBM is realized by adopting the finite collocation approach [8]. The set of points covers the computational domain Ω with global boundary Γ, and the neighbouring nodes create the local domain around each node (Fig.…”
Section: Numerical Solutionmentioning
confidence: 99%
See 1 more Smart Citation
“…The localization of the global SBM is realized by adopting the finite collocation approach [8]. The set of points covers the computational domain Ω with global boundary Γ, and the neighbouring nodes create the local domain around each node (Fig.…”
Section: Numerical Solutionmentioning
confidence: 99%
“…The main drawback of this approach is the increase in the number of equations caused by the necessary compatibility equations at the boundary of the subdomain. The promising principle of finite collocation (FC), as formulated by Stevens et al [7], showed the potential to formulate indirect methods locally without a need to create and manage subdomains [8]. Like other local methods, the method defines a set of simple overlapping subdomains around the points at which the solution of the corresponding partial differential equation (PDE) is evaluated.…”
Section: Introductionmentioning
confidence: 99%
“…The localization principle is universally applicable, especially for methods emphasizing boundary points like the singular boundary method (SBM) or method of fundamental solutions (MFS). This principle defines a local solution region based solely on boundary points [8]. It mainly benefits the application of MFS, leading to the development of the local method of fundamental solutions (LMFS).…”
Section: Introductionmentioning
confidence: 99%