The radial integration method for evaluation of domain integrals with boundary-only discretization (Record no. 46595)

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control field MX-MdCICY
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control field 20250625153852.0
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Transcribing agency CICY
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Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) B-12387
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245 10 - TITLE STATEMENT
Title The radial integration method for evaluation of domain integrals with boundary-only discretization
490 0# - SERIES STATEMENT
Volume/sequential designation Engineering Analysis with Boundary Elements, 26, p.905-916, 2002
520 3# - SUMMARY, ETC.
Summary, etc. In this paper, a simple and robust method, called the radial integration method, is presented for transforming domain integrals into equivalent boundary integrals. Any two- or three-dimensional domain integral can be evaluated in a unified way without the need to discretize the domain into internal cells. Domain integrals consisting of known functions can be directly and accurately transformed to the boundary, while for domain integrals including unknown variables, the transformation is accomplished by approximating these variables using radial basis functions. In the proposed method, weak singularities involved in the domain integrals are also explicitly transformed to the boundary integrals, so no singularities exist at internal points. Some analytical and numerical examples are presented to verify the validity of this method.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element BOUNDARY ELEMENT METHOD
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DOMAIN INTEGRAL
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element BOUNDARY INTEGRAL
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element RADIAL INTEGRATION
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element RADIAL BASIS FUNCTION
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DUAL RECIPROCITY METHOD
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Gao, X.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://drive.google.com/file/d/177o2l0vhxcVOQRi2A28xrin28gdQeaPy/view?usp=drivesdk">https://drive.google.com/file/d/177o2l0vhxcVOQRi2A28xrin28gdQeaPy/view?usp=drivesdk</a>
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Source of classification or shelving scheme Clasificación local
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  Clasificación local     Ref1 CICY CICY Documento préstamo interbibliotecario 25.06.2025   B-12387 25.06.2025 25.06.2025 Documentos solicitados