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Numerical evaluation of arbitrary singular domain integrals based on radial integration method
In this paper, a new approach is presented for the numerical evaluation of arbitrary singular domain integrals based on the radial integration method. The transformation from domain integrals to boundary integrals and the analytical elimination of singularities can be accomplished by expressing the...
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| Published in: | Engineering analysis with boundary elements 2011-03, Vol.35 (3), p.587-593 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c449t-88dc3c4dcd461f441eb5e224f870461ba32ffb943c72e6781fdb678c00618dc23 |
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| cites | cdi_FETCH-LOGICAL-c449t-88dc3c4dcd461f441eb5e224f870461ba32ffb943c72e6781fdb678c00618dc23 |
| container_end_page | 593 |
| container_issue | 3 |
| container_start_page | 587 |
| container_title | Engineering analysis with boundary elements |
| container_volume | 35 |
| creator | Gao, Xiao-Wei Peng, Hai-Feng |
| description | In this paper, a new approach is presented for the numerical evaluation of arbitrary singular domain integrals based on the radial integration method. The transformation from domain integrals to boundary integrals and the analytical elimination of singularities can be accomplished by expressing the non-singular part of the integration kernels as polynomials of the distance
r and using the intrinsic features of the radial integral. In the proposed method, singularities involved in the domain integrals are explicitly transformed to the boundary integrals, so no singularities exist at internal points. Some numerical examples are provided to verify the correctness and robustness of the presented method. |
| doi_str_mv | 10.1016/j.enganabound.2010.06.023 |
| format | article |
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Scientific computation</subject><subject>Physics</subject><subject>Polynomials</subject><subject>Radial integration</subject><subject>Robustness</subject><subject>Sciences and techniques of general use</subject><subject>Singular domain integrals</subject><subject>Singularities</subject><subject>Transformations</subject><issn>0955-7997</issn><issn>1873-197X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqNkEtLxDAUhYMoOI7-h7oQV61Jkz6ylMEXDLpRcGVIk5sxQ5uMSSv47804g7h0deHe75zLOQidE1wQTOqrdQFuJZ3s_OR0UeK0x3WBS3qAZqRtaE5483qIZphXVd5w3hyjkxjXGBOKcT1Db4_TAMEq2WfwKftJjta7zJtMhs6OQYavLFq3mnoZMu0HaV1m3QirIPuYdTKCzhIfpLbJYX_5sRhgfPf6FB2ZRMLZfs7Ry-3N8-I-Xz7dPSyul7lijI9522pFFdNKs5oYxgh0FZQlM22D06aTtDSm44yqpoS6aYnRXRoqRSBJWtI5utz5boL_mCCOYrBRQd9LB36Koq0Z5RWjbSL5jlTBxxjAiE2wQ8opCBbbSsVa_KlUbCsVuBap0qS92H-RMTVmgnTKxl-DkraEJzxxix0HKfKnhSCisuAUaBtAjUJ7-49v34lMlH4</recordid><startdate>20110301</startdate><enddate>20110301</enddate><creator>Gao, Xiao-Wei</creator><creator>Peng, Hai-Feng</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20110301</creationdate><title>Numerical evaluation of arbitrary singular domain integrals based on radial integration method</title><author>Gao, Xiao-Wei ; Peng, Hai-Feng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c449t-88dc3c4dcd461f441eb5e224f870461ba32ffb943c72e6781fdb678c00618dc23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Boundaries</topic><topic>Boundary element method</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Global distance</topic><topic>Integral transforms, operational calculus</topic><topic>Integrals</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Methods of scientific computing (including symbolic computation, algebraic computation)</topic><topic>Numerical analysis. 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| ispartof | Engineering analysis with boundary elements, 2011-03, Vol.35 (3), p.587-593 |
| issn | 0955-7997 1873-197X |
| language | eng |
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| source | ScienceDirect Freedom Collection 2022-2024 |
| subjects | Boundaries Boundary element method Exact sciences and technology Fundamental areas of phenomenology (including applications) Global distance Integral transforms, operational calculus Integrals Mathematical analysis Mathematical models Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Physics Polynomials Radial integration Robustness Sciences and techniques of general use Singular domain integrals Singularities Transformations |
| title | Numerical evaluation of arbitrary singular domain integrals based on radial integration method |
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