A MESHLESS METHOD BASED ON LEAST-SQUARES APPROACH FOR STEADY- AND UNSTEADY-STATE HEAT CONDUCTION PROBLEMS
The meshless method based on the least-squares approach, the meshless weighted least-squares (MWLS) method, is extended to solve conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping sche...
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| Veröffentlicht in: | Numerical heat transfer. Part B, Fundamentals Fundamentals, 2005-03, Vol.47 (3), p.257-275 |
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| container_end_page | 275 |
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| container_issue | 3 |
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| container_title | Numerical heat transfer. Part B, Fundamentals |
| container_volume | 47 |
| creator | Liu, Y. Zhang, X. Lu, M.-W. |
| description | The meshless method based on the least-squares approach, the meshless weighted least-squares (MWLS) method, is extended to solve conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretical analysis and numerical examples indicate that larger time steps can be used in the present method than in meshless methods based on the Galerkin approach. Numerical studies show that the proposed method is a truly meshless method with good accuracy, high convergence rate, and high efficiency. |
| doi_str_mv | 10.1080/10407790590901648 |
| format | Article |
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The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretical analysis and numerical examples indicate that larger time steps can be used in the present method than in meshless methods based on the Galerkin approach. Numerical studies show that the proposed method is a truly meshless method with good accuracy, high convergence rate, and high efficiency.</description><identifier>ISSN: 1040-7790</identifier><identifier>EISSN: 1521-0626</identifier><identifier>DOI: 10.1080/10407790590901648</identifier><identifier>CODEN: NHBFEE</identifier><language>eng</language><publisher>Philadelphia, PA: Taylor & Francis Group</publisher><subject>Analytical and numerical techniques ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Heat conduction ; Heat transfer ; Physics</subject><ispartof>Numerical heat transfer. 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Part B, Fundamentals</title><description>The meshless method based on the least-squares approach, the meshless weighted least-squares (MWLS) method, is extended to solve conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretical analysis and numerical examples indicate that larger time steps can be used in the present method than in meshless methods based on the Galerkin approach. Numerical studies show that the proposed method is a truly meshless method with good accuracy, high convergence rate, and high efficiency.</description><subject>Analytical and numerical techniques</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Heat conduction</subject><subject>Heat transfer</subject><subject>Physics</subject><issn>1040-7790</issn><issn>1521-0626</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNqFkM1OxCAURhujib8P4I6N7qpQWloSN9iiNalTHToLVw3DQFLTmSp0or69mBnjwkTZcMk95yP3BsEpghcIZvASwRimKYUJhRQiEmc7wQFKIhRCEpFdX_t--AXsB4fOPUN_YhwfBB0D91yUFRfCF01ZF-CaCV6AegIqzkQTiscZm3IB2MPDtGZ5CW7qKRANZ8VTCNikALPJ9iUa1nBQctaAvJ4Us7y58yneuq74vTgO9ozsnT7Z3kfB7IY3eRlW9e1dzqpQ-QnG0JBEG0QyhDFCNJYLJRWGOqPGqDRNo1TPCSZkvkAxISoxMqNUogwSoulcz2N8FJxvcl_s8LrWbmyXnVO67-VKD2vXRhQTHCHkQbQBlR2cs9q0L7ZbSvvRIth-LbX9tVTvnG3DpVOyN1auVOd-RJIQmJDUc1cbrluZwS7l22D7RTvKj36w3xL-65v0X_2X1Y7vI_4ExU-SMg</recordid><startdate>20050301</startdate><enddate>20050301</enddate><creator>Liu, Y.</creator><creator>Zhang, X.</creator><creator>Lu, M.-W.</creator><general>Taylor & Francis Group</general><general>Taylor & Francis</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20050301</creationdate><title>A MESHLESS METHOD BASED ON LEAST-SQUARES APPROACH FOR STEADY- AND UNSTEADY-STATE HEAT CONDUCTION PROBLEMS</title><author>Liu, Y. ; Zhang, X. ; Lu, M.-W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c407t-f65ef1681331194adcac30e89ffc77727eb6366bd1466c5fa899a18066e9beb43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Analytical and numerical techniques</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Heat conduction</topic><topic>Heat transfer</topic><topic>Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Y.</creatorcontrib><creatorcontrib>Zhang, X.</creatorcontrib><creatorcontrib>Lu, M.-W.</creatorcontrib><collection>Pascal-Francis</collection><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>Aerospace Database</collection><collection>ProQuest Computer Science Collection</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>Numerical heat transfer. 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| ispartof | Numerical heat transfer. Part B, Fundamentals, 2005-03, Vol.47 (3), p.257-275 |
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| language | eng |
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| source | Taylor & Francis:Master (3349 titles) |
| subjects | Analytical and numerical techniques Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat conduction Heat transfer Physics |
| title | A MESHLESS METHOD BASED ON LEAST-SQUARES APPROACH FOR STEADY- AND UNSTEADY-STATE HEAT CONDUCTION PROBLEMS |
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