An ADI Finite Volume Element Method for a Viscous Wave Equation with Variable Coefficients
Based on rectangular partition and bilinear interpolation, we construct an alternating-direction implicit (ADI) finite volume element method, which combined the merits of finite volume element method and alternating direction implicit method to solve a viscous wave equation with variable coefficient...
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| Veröffentlicht in: | Computer modeling in engineering & sciences 2020-01, Vol.123 (2), p.739-776 |
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| creator | Su, Mengya Ren, Zhihao Zhang, Zhiyue |
| description | Based on rectangular partition and bilinear interpolation, we construct an alternating-direction implicit (ADI) finite volume element method, which combined the merits of finite volume element method and alternating direction implicit method to solve a viscous wave equation with variable
coefficients. This paper presents a general procedure to construct the alternating-direction implicit finite volume element method and gives computational schemes. Optimal error estimate in L2 norm is obtained for the schemes. Compared with the finite volume element method
of the same convergence order, our method is more effective in terms of running time with the increasing of the computing scale. Numerical experiments are presented to show the efficiency of our method and numerical results are provided to support our theoretical analysis. |
| doi_str_mv | 10.32604/cmes.2020.08563 |
| format | Article |
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coefficients. This paper presents a general procedure to construct the alternating-direction implicit finite volume element method and gives computational schemes. Optimal error estimate in L2 norm is obtained for the schemes. Compared with the finite volume element method
of the same convergence order, our method is more effective in terms of running time with the increasing of the computing scale. Numerical experiments are presented to show the efficiency of our method and numerical results are provided to support our theoretical analysis.</description><identifier>ISSN: 1526-1492</identifier><identifier>ISSN: 1526-1506</identifier><identifier>EISSN: 1526-1506</identifier><identifier>DOI: 10.32604/cmes.2020.08563</identifier><language>eng</language><publisher>Henderson: Tech Science Press</publisher><subject>Alternating Direction Implicit Finite Volume Element Method ; Alternating direction implicit methods ; Error Estimates ; Interpolation ; L2 Norm ; Nonlinear programming ; Viscous Wave Equation ; Wave equations</subject><ispartof>Computer modeling in engineering & sciences, 2020-01, Vol.123 (2), p.739-776</ispartof><rights>2020. This work is licensed under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c370t-8f3a0a150578d443c0c6533688e85228abe6e864f2648c3a1d3996a762b40ca53</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Su, Mengya</creatorcontrib><creatorcontrib>Ren, Zhihao</creatorcontrib><creatorcontrib>Zhang, Zhiyue</creatorcontrib><title>An ADI Finite Volume Element Method for a Viscous Wave Equation with Variable Coefficients</title><title>Computer modeling in engineering & sciences</title><description>Based on rectangular partition and bilinear interpolation, we construct an alternating-direction implicit (ADI) finite volume element method, which combined the merits of finite volume element method and alternating direction implicit method to solve a viscous wave equation with variable
coefficients. This paper presents a general procedure to construct the alternating-direction implicit finite volume element method and gives computational schemes. Optimal error estimate in L2 norm is obtained for the schemes. Compared with the finite volume element method
of the same convergence order, our method is more effective in terms of running time with the increasing of the computing scale. Numerical experiments are presented to show the efficiency of our method and numerical results are provided to support our theoretical analysis.</description><subject>Alternating Direction Implicit Finite Volume Element Method</subject><subject>Alternating direction implicit methods</subject><subject>Error Estimates</subject><subject>Interpolation</subject><subject>L2 Norm</subject><subject>Nonlinear programming</subject><subject>Viscous Wave Equation</subject><subject>Wave equations</subject><issn>1526-1492</issn><issn>1526-1506</issn><issn>1526-1506</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpNULFOwzAQtRBIlMLOaIk5xfE5jrNRlRYqgVigSCyW6zrUVRq3tgPi70kaENxyT6f33t09hC5TMgLKCbvWWxNGlFAyIiLjcIQGaUZ5kmaEH_9iVtBTdBbChhDgIIoBehvXeHw7xzNb22jwwlXN1uBpZbamjvjRxLVb4dJ5rPDCBu2agF_VR8vYNypaV-NPG9d4obxVy8rgiTNlabVtxeEcnZSqCubipw_Ry2z6PLlPHp7u5pPxQ6IhJzERJSii2jOzXKwYA000zwC4EEZklAq1NNwIzkrKmdCg0hUUBVc5p0tGtMpgiK563513-8aEKDeu8XW7UlIocsqBiaJlkZ6lvQvBm1LuvN0q_yVTIg8Jyi5B2SUoDwm2kpteYuv39iH15xvD7j-7q5RCDwihUvnYjQC-AZzddsU</recordid><startdate>20200101</startdate><enddate>20200101</enddate><creator>Su, Mengya</creator><creator>Ren, Zhihao</creator><creator>Zhang, Zhiyue</creator><general>Tech Science Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20200101</creationdate><title>An ADI Finite Volume Element Method for a Viscous Wave Equation with Variable Coefficients</title><author>Su, Mengya ; 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coefficients. This paper presents a general procedure to construct the alternating-direction implicit finite volume element method and gives computational schemes. Optimal error estimate in L2 norm is obtained for the schemes. Compared with the finite volume element method
of the same convergence order, our method is more effective in terms of running time with the increasing of the computing scale. Numerical experiments are presented to show the efficiency of our method and numerical results are provided to support our theoretical analysis.</abstract><cop>Henderson</cop><pub>Tech Science Press</pub><doi>10.32604/cmes.2020.08563</doi><tpages>38</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Alternating Direction Implicit Finite Volume Element Method Alternating direction implicit methods Error Estimates Interpolation L2 Norm Nonlinear programming Viscous Wave Equation Wave equations |
| title | An ADI Finite Volume Element Method for a Viscous Wave Equation with Variable Coefficients |
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