Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation
This study develops an optimized finite difference iterative （OFDI） scheme for the two-dimensional （2D） viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition （POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave...
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| Veröffentlicht in: | Applied mathematics and mechanics 2017-12, Vol.38 (12), p.1721-1732 |
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| container_title | Applied mathematics and mechanics |
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| creator | Xia, Hong Luo, Zhendong |
| description | This study develops an optimized finite difference iterative （OFDI） scheme for the two-dimensional （2D） viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition （POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave equation. Existence, stability, and convergence of the OFDI solutions are analyzed. Numerical simulations verify efficiency and feasibility of the proposed scheme. |
| doi_str_mv | 10.1007/s10483-017-2288-8 |
| format | Article |
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The OFDI scheme is obtained using a proper orthogonal decomposition （POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave equation. Existence, stability, and convergence of the OFDI solutions are analyzed. Numerical simulations verify efficiency and feasibility of the proposed scheme.</description><edition>English ed.</edition><identifier>ISSN: 0253-4827</identifier><identifier>EISSN: 1573-2754</identifier><identifier>DOI: 10.1007/s10483-017-2288-8</identifier><language>eng</language><publisher>Shanghai: Shanghai University</publisher><subject>Applications of Mathematics ; Classical Mechanics ; Computer simulation ; Feasibility studies ; Finite difference method ; Fluid- and Aerodynamics ; Iterative methods ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Partial Differential Equations ; Proper Orthogonal Decomposition ; Stability analysis ; Viscoelasticity ; Wave equations</subject><ispartof>Applied mathematics and mechanics, 2017-12, Vol.38 (12), p.1721-1732</ispartof><rights>Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2017</rights><rights>Copyright Springer Science & Business Media 2017</rights><rights>Copyright © Wanfang Data Co. 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Numerical simulations verify efficiency and feasibility of the proposed scheme.</description><subject>Applications of Mathematics</subject><subject>Classical Mechanics</subject><subject>Computer simulation</subject><subject>Feasibility studies</subject><subject>Finite difference method</subject><subject>Fluid- and Aerodynamics</subject><subject>Iterative methods</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Partial Differential Equations</subject><subject>Proper Orthogonal Decomposition</subject><subject>Stability analysis</subject><subject>Viscoelasticity</subject><subject>Wave equations</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPGzEUha2KSg20P6A7q-yQply_xvaygj6QkMIC1pYzc50YJZ7EngDpr8doUMuKlXWl7ztHPoR8ZfCdAejzwkAa0QDTDefGNOYDmTGlRcO1kkdkBlyJRhquP5HjUu4BQGopZwTn2zFu4l_saYgpjkj7GAJmTB3SemY_xgekpVvhBunClwoOid7ML-mI3SrF3R5pGDLll_Qhlm7AtS9j7Oijrxru9tUf0mfyMfh1wS-v7wm5-_Xz9uJPcz3_fXXx47rphDZjE6yQBhe2hyA5Z1bZNihrWmn6tjWdl1wZi8B7tjBcLqQ3qEGiDUKhAmTihJxNuY8-BZ-W7n7Y51Qb3eFQnlbrJ4e8TsQ4QFvh0wne5qH-ooz_aWY1tMa2oCvFJqrLQykZg9vmuPH54Bi4l-ndNL2rue5lemeqwyenVDYtMb9Jfkf69lq0GtJyV71_Ta0WRgmhtXgG00uRaA</recordid><startdate>20171201</startdate><enddate>20171201</enddate><creator>Xia, Hong</creator><creator>Luo, Zhendong</creator><general>Shanghai University</general><general>Springer Nature B.V</general><general>School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China%School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20171201</creationdate><title>Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation</title><author>Xia, Hong ; Luo, Zhendong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c378t-f9348eb9d0f42219596f598648d668ca42589e02d1b824b4a8e704e9f35e50e13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Applications of Mathematics</topic><topic>Classical Mechanics</topic><topic>Computer simulation</topic><topic>Feasibility studies</topic><topic>Finite difference method</topic><topic>Fluid- and Aerodynamics</topic><topic>Iterative methods</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Partial Differential Equations</topic><topic>Proper Orthogonal Decomposition</topic><topic>Stability analysis</topic><topic>Viscoelasticity</topic><topic>Wave equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xia, Hong</creatorcontrib><creatorcontrib>Luo, Zhendong</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- 镜像站点</collection><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Applied mathematics and mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xia, Hong</au><au>Luo, Zhendong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation</atitle><jtitle>Applied mathematics and mechanics</jtitle><stitle>Appl. Math. Mech.-Engl. Ed</stitle><addtitle>Applied Mathematics and Mechanics（English Edition）</addtitle><date>2017-12-01</date><risdate>2017</risdate><volume>38</volume><issue>12</issue><spage>1721</spage><epage>1732</epage><pages>1721-1732</pages><issn>0253-4827</issn><eissn>1573-2754</eissn><abstract>This study develops an optimized finite difference iterative （OFDI） scheme for the two-dimensional （2D） viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition （POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave equation. Existence, stability, and convergence of the OFDI solutions are analyzed. Numerical simulations verify efficiency and feasibility of the proposed scheme.</abstract><cop>Shanghai</cop><pub>Shanghai University</pub><doi>10.1007/s10483-017-2288-8</doi><tpages>12</tpages><edition>English ed.</edition></addata></record> |
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| ispartof | Applied mathematics and mechanics, 2017-12, Vol.38 (12), p.1721-1732 |
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| source | SpringerLink Journals; Alma/SFX Local Collection |
| subjects | Applications of Mathematics Classical Mechanics Computer simulation Feasibility studies Finite difference method Fluid- and Aerodynamics Iterative methods Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Partial Differential Equations Proper Orthogonal Decomposition Stability analysis Viscoelasticity Wave equations |
| title | Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation |
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