Masataka Tanaka
Shinshu University
99 Papers
898 Citations
Masataka Tanaka is an academic researcher from Shinshu University. The author has contributed to research in topics: Boundary element method & Boundary knot method. The author has an hindex of 19, co-authored 99 publications.
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Papers
A meshless, integration-free, and boundary-only RBF technique
Wen Chen,Masataka Tanaka +1 more
TL;DR: The present scheme is named as the boundary knot method (BKM) to differentiate it from the other numerical techniques, and is different from the method of fundamental solution in that the former does not require the artificial boundary and results in the symmetric system equations under certain conditions.
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•Posted Content
A meshless, integration-free, and boundary-only RBF technique
Wen Chen,Masataka Tanaka +1 more
TL;DR: Based on the radial basis function (RBF), non-singular general solution and dual reciprocity method (DRM), this article presented an inherently meshless, integration-free, boundary-only RBF collocation techniques for numerical solution of various partial differential equation systems.
259
Meshless analysis of potential problems in three dimensions with the hybrid boundary node method
TL;DR: In this article, the hybrid boundary node method (Hybrid BNM) is extended to solve potential problems in 3D Laplace's equation and a general computer code of the Hybrid BNM is implemented in C++.
79
Dual reciprocity bem applied to transient elastodynamic problems with differential quadrature method in time
Masataka Tanaka,Wen Chen +1 more
TL;DR: In this paper, the first attempt to apply the DQM to the second-order time derivative in the DRBEM elastodynamic formulations was made, and the resulting algebraic formulation is a Lyapunov matrix equation, which can be very efficiently solved by the Bartels-Stewart algorithm.
75
New Insights in Boundary-only and Domain-type RBF Methods
Wen Chen,Masataka Tanaka +1 more
TL;DR: The boundary knot method (BKM) as discussed by the authors is a boundary-only and domain-type RBF technique that is meshless, exponential convergence, integration-free (of course, no singular integration), boundary only for general problems, and leads to symmetric matrix under certain conditions (able to be extended to general cases after further modified).