Regional connectivity in modified finite point method
In this paper, a concept of regional connectivity has been integrated into the modified finite point method (MFPM) [33] to solve problems with different physical behaviors in adjacent regions. This approach has been employed to improve accuracy in its applications to harbor resonance of the MFPM, wh...
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| Veröffentlicht in: | Engineering analysis with boundary elements 2014-10, Vol.47, p.21-31 |
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| creator | Chen, Boe Shiun Tsay, Ting-Kuei Chiang, Kuo-Cheng Yang, Chun-Wen |
| description | In this paper, a concept of regional connectivity has been integrated into the modified finite point method (MFPM) [33] to solve problems with different physical behaviors in adjacent regions. This approach has been employed to improve accuracy in its applications to harbor resonance of the MFPM, which has searched adjacent nodes by relative distance for local collocation. By identifying regional connectivity, only closer nodes within regions of the same regional connectivity with respect to a base point can be included for correct local collocation. In coastal engineering, phenomenon of resonance of harbors with breakwaters is a crucial consideration in harbor planning and design. Numerical computations of harbor resonance induced by monochromatic water-waves are used to verify the MFPM numerical model integrated with regional connectivity approach. The whole computational domain is divided into several subdomains, based on different physical behaviors. After numbering of each subdomain, regional connectivity is provided to exclude searching the nearest nodes from inappropriate subdomains for local collocation.
Harbors of different physical geometries, with and without breakwaters have been examined when analytical solutions [18] are available. Very good agreement between numerical results and analytical solutions has demonstrated that the concept of regional connectivity has improved the performance of MFPM. Application of this regional connectivity concept will be needed in similar problems, such as a crack in a thin plate, and a cutoff of groundwater seepage. |
| doi_str_mv | 10.1016/j.enganabound.2014.05.001 |
| format | Article |
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Harbors of different physical geometries, with and without breakwaters have been examined when analytical solutions [18] are available. Very good agreement between numerical results and analytical solutions has demonstrated that the concept of regional connectivity has improved the performance of MFPM. Application of this regional connectivity concept will be needed in similar problems, such as a crack in a thin plate, and a cutoff of groundwater seepage.</description><identifier>ISSN: 0955-7997</identifier><identifier>EISSN: 1873-197X</identifier><identifier>DOI: 10.1016/j.enganabound.2014.05.001</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Accuracy ; Amplification factor ; Breakwalls ; Breakwaters ; Collocation ; Harbor resonance ; Harbors ; Local polynomial approximation ; Mathematical analysis ; Mathematical models ; Mesh-less method ; Mild-slope equation ; Modified finite point method ; Regional ; Regional connectivity</subject><ispartof>Engineering analysis with boundary elements, 2014-10, Vol.47, p.21-31</ispartof><rights>2014</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c354t-92306a2d319653ae5367f7e7640a86c35bf9d1b45886ecd1103222dca1ee768d3</citedby><cites>FETCH-LOGICAL-c354t-92306a2d319653ae5367f7e7640a86c35bf9d1b45886ecd1103222dca1ee768d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0955799714001118$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,65309</link.rule.ids></links><search><creatorcontrib>Chen, Boe Shiun</creatorcontrib><creatorcontrib>Tsay, Ting-Kuei</creatorcontrib><creatorcontrib>Chiang, Kuo-Cheng</creatorcontrib><creatorcontrib>Yang, Chun-Wen</creatorcontrib><title>Regional connectivity in modified finite point method</title><title>Engineering analysis with boundary elements</title><description>In this paper, a concept of regional connectivity has been integrated into the modified finite point method (MFPM) [33] to solve problems with different physical behaviors in adjacent regions. This approach has been employed to improve accuracy in its applications to harbor resonance of the MFPM, which has searched adjacent nodes by relative distance for local collocation. By identifying regional connectivity, only closer nodes within regions of the same regional connectivity with respect to a base point can be included for correct local collocation. In coastal engineering, phenomenon of resonance of harbors with breakwaters is a crucial consideration in harbor planning and design. Numerical computations of harbor resonance induced by monochromatic water-waves are used to verify the MFPM numerical model integrated with regional connectivity approach. The whole computational domain is divided into several subdomains, based on different physical behaviors. After numbering of each subdomain, regional connectivity is provided to exclude searching the nearest nodes from inappropriate subdomains for local collocation.
Harbors of different physical geometries, with and without breakwaters have been examined when analytical solutions [18] are available. Very good agreement between numerical results and analytical solutions has demonstrated that the concept of regional connectivity has improved the performance of MFPM. Application of this regional connectivity concept will be needed in similar problems, such as a crack in a thin plate, and a cutoff of groundwater seepage.</description><subject>Accuracy</subject><subject>Amplification factor</subject><subject>Breakwalls</subject><subject>Breakwaters</subject><subject>Collocation</subject><subject>Harbor resonance</subject><subject>Harbors</subject><subject>Local polynomial approximation</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mesh-less method</subject><subject>Mild-slope equation</subject><subject>Modified finite point method</subject><subject>Regional</subject><subject>Regional connectivity</subject><issn>0955-7997</issn><issn>1873-197X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNqNkE1LAzEURYMoWKv_Ydy5mTGZTJLJUopfUBBEwV1Ikzf1lZmkTtKC_94pdeHS1ducdy_3EHLNaMUok7ebCsLaBruKu-CrmrKmoqKilJ2QGWsVL5lWH6dkRrUQpdJanZOLlDYTwCmVMyJeYY0x2L5wMQRwGfeYvwsMxRA9dgi-6DBghmIbMeRigPwZ_SU562yf4Or3zsn7w_3b4qlcvjw-L-6WpeOiyaWuOZW29pxpKbgFwaXqFCjZUNvKiVl12rNVI9pWgvOMUV7XtXeWwQS1ns_JzTF3O8avHaRsBkwO-t4GiLtkmGymilpxOaH6iLoxpjRCZ7YjDnb8NoyagyqzMX9UmYMqQ4U5mJiTxfEXpi17hNEkhxAceBwnJcZH_EfKDxPBd5E</recordid><startdate>20141001</startdate><enddate>20141001</enddate><creator>Chen, Boe Shiun</creator><creator>Tsay, Ting-Kuei</creator><creator>Chiang, Kuo-Cheng</creator><creator>Yang, Chun-Wen</creator><general>Elsevier Ltd</general><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>20141001</creationdate><title>Regional connectivity in modified finite point method</title><author>Chen, Boe Shiun ; Tsay, Ting-Kuei ; Chiang, Kuo-Cheng ; Yang, Chun-Wen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c354t-92306a2d319653ae5367f7e7640a86c35bf9d1b45886ecd1103222dca1ee768d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Accuracy</topic><topic>Amplification factor</topic><topic>Breakwalls</topic><topic>Breakwaters</topic><topic>Collocation</topic><topic>Harbor resonance</topic><topic>Harbors</topic><topic>Local polynomial approximation</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mesh-less method</topic><topic>Mild-slope equation</topic><topic>Modified finite point method</topic><topic>Regional</topic><topic>Regional connectivity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Boe Shiun</creatorcontrib><creatorcontrib>Tsay, Ting-Kuei</creatorcontrib><creatorcontrib>Chiang, Kuo-Cheng</creatorcontrib><creatorcontrib>Yang, Chun-Wen</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Engineering analysis with boundary elements</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Boe Shiun</au><au>Tsay, Ting-Kuei</au><au>Chiang, Kuo-Cheng</au><au>Yang, Chun-Wen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Regional connectivity in modified finite point method</atitle><jtitle>Engineering analysis with boundary elements</jtitle><date>2014-10-01</date><risdate>2014</risdate><volume>47</volume><spage>21</spage><epage>31</epage><pages>21-31</pages><issn>0955-7997</issn><eissn>1873-197X</eissn><abstract>In this paper, a concept of regional connectivity has been integrated into the modified finite point method (MFPM) [33] to solve problems with different physical behaviors in adjacent regions. This approach has been employed to improve accuracy in its applications to harbor resonance of the MFPM, which has searched adjacent nodes by relative distance for local collocation. By identifying regional connectivity, only closer nodes within regions of the same regional connectivity with respect to a base point can be included for correct local collocation. In coastal engineering, phenomenon of resonance of harbors with breakwaters is a crucial consideration in harbor planning and design. Numerical computations of harbor resonance induced by monochromatic water-waves are used to verify the MFPM numerical model integrated with regional connectivity approach. The whole computational domain is divided into several subdomains, based on different physical behaviors. After numbering of each subdomain, regional connectivity is provided to exclude searching the nearest nodes from inappropriate subdomains for local collocation.
Harbors of different physical geometries, with and without breakwaters have been examined when analytical solutions [18] are available. Very good agreement between numerical results and analytical solutions has demonstrated that the concept of regional connectivity has improved the performance of MFPM. Application of this regional connectivity concept will be needed in similar problems, such as a crack in a thin plate, and a cutoff of groundwater seepage.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.enganabound.2014.05.001</doi><tpages>11</tpages></addata></record> |
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| subjects | Accuracy Amplification factor Breakwalls Breakwaters Collocation Harbor resonance Harbors Local polynomial approximation Mathematical analysis Mathematical models Mesh-less method Mild-slope equation Modified finite point method Regional Regional connectivity |
| title | Regional connectivity in modified finite point method |
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