A STUDY ON THE WEIGHT FUNCTION OF THE MOVING LEAST SQUARE APPROXIMATION IN THE LOCAL BOUNDARY INTEGRAL EQUATION METHOD
The meshless method is a new numerical technique presented in recent years .It uses the moving least square (MLS) approximation as a shape function . The smoothness of the MLS approximation is determined by that of the basic function and of the weight function, and is mainly determined by that of th...
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| Veröffentlicht in: | Acta mechanica solida Sinica 2003-09, Vol.16 (3), p.276-282 |
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| description | The meshless method is a new numerical technique presented in recent years .It uses the moving least square (MLS) approximation as a shape function . The smoothness of the MLS approximation is determined by that of the basic function and of the weight function, and is mainly determined by that of the weight function. Therefore, the weight function greatly affects the accuracy of results obtained. Different kinds of weight functions, such as the spline function, the Gauss function and so on, are proposed recently by many researchers. In the present work, the features of various weight functions are illustrated through solving elasto-static problems using the local boundary integral equation method. The effect of various weight functions on the accuracy, convergence and stability of results obtained is also discussed. Examples show that the weight function proposed by Zhou Weiyuan and Gauss and the quartic spline weight function are better than the others if parameters c and a in Gauss and exponential weight functions are in the range of reasonable values, respectively, and the higher the smoothness of the weight function, the better the features of the solutions. |
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The smoothness of the MLS approximation is determined by that of the basic function and of the weight function, and is mainly determined by that of the weight function. Therefore, the weight function greatly affects the accuracy of results obtained. Different kinds of weight functions, such as the spline function, the Gauss function and so on, are proposed recently by many researchers. In the present work, the features of various weight functions are illustrated through solving elasto-static problems using the local boundary integral equation method. The effect of various weight functions on the accuracy, convergence and stability of results obtained is also discussed. Examples show that the weight function proposed by Zhou Weiyuan and Gauss and the quartic spline weight function are better than the others if parameters c and a in Gauss and exponential weight functions are in the range of reasonable values, respectively, and the higher the smoothness of the weight function, the better the features of the solutions.</description><identifier>ISSN: 0894-9166</identifier><identifier>EISSN: 1860-2134</identifier><identifier>CODEN: KTLPD8</identifier><language>eng</language><publisher>Wuhan: Huazhong University of Science and Technology</publisher><subject>Boundary-integral methods ; Computational techniques ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Mathematical methods in physics ; Physics ; Solid mechanics ; Static elasticity ; Static elasticity (thermoelasticity...) ; Structural and continuum mechanics ; 加权函数 ; 局部边界积分方程 ; 移动最小二乘法 ; 网格方法</subject><ispartof>Acta mechanica solida Sinica, 2003-09, Vol.16 (3), p.276-282</ispartof><rights>2004 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/87045X/87045X.jpg</thumbnail><link.rule.ids>314,776,780</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=15230659$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>LongShuyao HuDe'an</creatorcontrib><title>A STUDY ON THE WEIGHT FUNCTION OF THE MOVING LEAST SQUARE APPROXIMATION IN THE LOCAL BOUNDARY INTEGRAL EQUATION METHOD</title><title>Acta mechanica solida Sinica</title><addtitle>Acta Mechanica Solida Sinica</addtitle><description>The meshless method is a new numerical technique presented in recent years .It uses the moving least square (MLS) approximation as a shape function . 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Examples show that the weight function proposed by Zhou Weiyuan and Gauss and the quartic spline weight function are better than the others if parameters c and a in Gauss and exponential weight functions are in the range of reasonable values, respectively, and the higher the smoothness of the weight function, the better the features of the solutions.</description><subject>Boundary-integral methods</subject><subject>Computational techniques</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mathematical methods in physics</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Static elasticity</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><subject>加权函数</subject><subject>局部边界积分方程</subject><subject>移动最小二乘法</subject><subject>网格方法</subject><issn>0894-9166</issn><issn>1860-2134</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNotjkFPwjAAhRujiYj-h3rwuKRd1249VijbkrHi6FROS1coThFhMyb-exvw9JIv33t5F2CEE4aCEJPoEoxQwqOAY8auwc0wvCMUIpKEI_Aj4FLX0xVUJdSZhC8yTzMNZ3U50blnanbCc_WclykspFhquHyqRSWhWCwq9ZrPxUnMz_1CTUQBH1VdTkW18lTLtPJE-s7Jm0udqektuHJmN2zu_nMM6pnUkywoVJr7hcCGiH8HEcVrRI0hrI3jtf9sW4dc2NqNcRRTQjnGEYtJTBJK1jxmFhtjUOQ4oQxjS8bg4bx7MIM1O9ebve2G5tB3n6b_bTANCWKUe-_-7Nm3r_322O23TWvsh-t2myaJGCE4IX-iK1nK</recordid><startdate>20030901</startdate><enddate>20030901</enddate><creator>LongShuyao HuDe'an</creator><general>Huazhong University of Science and Technology</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W94</scope><scope>~WA</scope><scope>IQODW</scope></search><sort><creationdate>20030901</creationdate><title>A STUDY ON THE WEIGHT FUNCTION OF THE MOVING LEAST SQUARE APPROXIMATION IN THE LOCAL BOUNDARY INTEGRAL EQUATION METHOD</title><author>LongShuyao HuDe'an</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c209t-451d05aa36b77d020cbf0f2bceaf51535911467373853d976c1aaa04f935611c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Boundary-integral methods</topic><topic>Computational techniques</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Mathematical methods in physics</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Static elasticity</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural and continuum mechanics</topic><topic>加权函数</topic><topic>局部边界积分方程</topic><topic>移动最小二乘法</topic><topic>网格方法</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>LongShuyao HuDe'an</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库-自然科学</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>Pascal-Francis</collection><jtitle>Acta mechanica solida Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>LongShuyao HuDe'an</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A STUDY ON THE WEIGHT FUNCTION OF THE MOVING LEAST SQUARE APPROXIMATION IN THE LOCAL BOUNDARY INTEGRAL EQUATION METHOD</atitle><jtitle>Acta mechanica solida Sinica</jtitle><addtitle>Acta Mechanica Solida Sinica</addtitle><date>2003-09-01</date><risdate>2003</risdate><volume>16</volume><issue>3</issue><spage>276</spage><epage>282</epage><pages>276-282</pages><issn>0894-9166</issn><eissn>1860-2134</eissn><coden>KTLPD8</coden><abstract>The meshless method is a new numerical technique presented in recent years .It uses the moving least square (MLS) approximation as a shape function . 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| ispartof | Acta mechanica solida Sinica, 2003-09, Vol.16 (3), p.276-282 |
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| source | Springer Nature - Complete Springer Journals; Alma/SFX Local Collection |
| subjects | Boundary-integral methods Computational techniques Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics Physics Solid mechanics Static elasticity Static elasticity (thermoelasticity...) Structural and continuum mechanics 加权函数 局部边界积分方程 移动最小二乘法 网格方法 |
| title | A STUDY ON THE WEIGHT FUNCTION OF THE MOVING LEAST SQUARE APPROXIMATION IN THE LOCAL BOUNDARY INTEGRAL EQUATION METHOD |
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