About: Modified Binary Tree in the Fast PIES for 2D Problems with Complex Shapes

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An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Modified Binary Tree in the Fast PIES for 2D Problems with Complex Shapes
Creator	Kużelewski, Andrzej Zieniuk, Eugeniusz Agnieszka, Bo Ltuć, Krzystof Szerszeń,
Source	PMC
abstract	The paper presents a modified binary tree in the fast multipole method (FMM) included into the modified parametric integral equations system (PIES), called the fast PIES, in solving potential 2D boundary value problems with complex shapes. The modified binary tree proposed in this paper is built based on a one-dimensional reference system contrary to a quad-tree (based on a two-dimensional reference system) which is applied in the fast multipole boundary element method (FM-BEM). Application of the proposed tree allows reducing the number of numerical computations performed during its construction and fast multipole calculations in the fast PIES. The proposed modification of the tree in the fast PIES allows obtaining accurate solutions in engineering problems with complex shapes on a standard personal computer in a short time.
has issue date	2020-06-15(xsd:dateTime)
bibo:doi	10.1007/978-3-030-50417-5_1
has license	no-cc
sha1sum (hex)	67b3816a0c739bc8abc0e3e8bb74c01459d9b565
schema:url	https://doi.org/10.1007/978-3-030-50417-5_1
resource representing a document's title	Modified Binary Tree in the Fast PIES for 2D Problems with Complex Shapes
has PubMed Central identifier	PMC7302565
schema:publication	Computational Science - ICCS 2020
resource representing a document's body	covid:67b3816a0c739bc8abc0e3e8bb74c01459d9b565#body_text
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