On the construction of problem-specific basis functions for modelling the massloading effects in micro-acoustic devices
This paper presents an efficient algorithm for modelling the massloading effect in 3D models of micro-acoustic devices, utilizing mesh-less Legendre, Jacobi-Galerkin approximations. The efficacy and utility of the proposed method rely on the construction of a set of problem-specific orthogonal basis...
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| creator | Vagh, H. Baghai-Wadji, A. |
| description | This paper presents an efficient algorithm for modelling the massloading effect in 3D models of micro-acoustic devices, utilizing mesh-less Legendre, Jacobi-Galerkin approximations. The efficacy and utility of the proposed method rely on the construction of a set of problem-specific orthogonal basis functions, and the series expansion of non-separable field functions in terms of these functions. The ability to permit parallelization along with construction of closed-form formulae for the derivatives and definite integrals of the basis functions are further key features of our method. The feasibility of the method is demonstrated by obtaining numerical results for homogeneous boundary conditions for 2D and 3D problems. Our results are compared against available numerical data obtained by conventional finite element method implementations. Excellent agreement has been achieved. |
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The efficacy and utility of the proposed method rely on the construction of a set of problem-specific orthogonal basis functions, and the series expansion of non-separable field functions in terms of these functions. The ability to permit parallelization along with construction of closed-form formulae for the derivatives and definite integrals of the basis functions are further key features of our method. The feasibility of the method is demonstrated by obtaining numerical results for homogeneous boundary conditions for 2D and 3D problems. Our results are compared against available numerical data obtained by conventional finite element method implementations. Excellent agreement has been achieved.</description><identifier>ISSN: 2325-0631</identifier><identifier>ISBN: 9810824688</identifier><identifier>ISBN: 9789810824686</identifier><language>eng</language><publisher>IEEE</publisher><subject>Acoustic waves ; Boundary conditions ; Electrodes ; FEM ; Finite difference methods ; Finite element methods ; Jacobi-Galerkin Formulation ; Jacobian matrices ; Mathematical analysis ; Mesh Free Methods ; Microacoustic Devices ; Orthogonal-Jacobi Polynomials ; Polynomials ; Protection ; Surface acoustic wave devices</subject><ispartof>Proceedings of the 2009 12th International Symposium on Integrated Circuits, 2009, p.260-263</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5403924$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2051,54899</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5403924$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Vagh, H.</creatorcontrib><creatorcontrib>Baghai-Wadji, A.</creatorcontrib><title>On the construction of problem-specific basis functions for modelling the massloading effects in micro-acoustic devices</title><title>Proceedings of the 2009 12th International Symposium on Integrated Circuits</title><addtitle>ISICIR</addtitle><description>This paper presents an efficient algorithm for modelling the massloading effect in 3D models of micro-acoustic devices, utilizing mesh-less Legendre, Jacobi-Galerkin approximations. The efficacy and utility of the proposed method rely on the construction of a set of problem-specific orthogonal basis functions, and the series expansion of non-separable field functions in terms of these functions. The ability to permit parallelization along with construction of closed-form formulae for the derivatives and definite integrals of the basis functions are further key features of our method. The feasibility of the method is demonstrated by obtaining numerical results for homogeneous boundary conditions for 2D and 3D problems. Our results are compared against available numerical data obtained by conventional finite element method implementations. Excellent agreement has been achieved.</description><subject>Acoustic waves</subject><subject>Boundary conditions</subject><subject>Electrodes</subject><subject>FEM</subject><subject>Finite difference methods</subject><subject>Finite element methods</subject><subject>Jacobi-Galerkin Formulation</subject><subject>Jacobian matrices</subject><subject>Mathematical analysis</subject><subject>Mesh Free Methods</subject><subject>Microacoustic Devices</subject><subject>Orthogonal-Jacobi Polynomials</subject><subject>Polynomials</subject><subject>Protection</subject><subject>Surface acoustic wave devices</subject><issn>2325-0631</issn><isbn>9810824688</isbn><isbn>9789810824686</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2009</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotz81KAzEUBeCACta2T-AmLzBw8zOZZCnFPyh0033JZG40MpMMSar49o7V1T0HDh_cK3JnNAPNpdL6mqy44G0DSrBbsi3lAwA4AGNSr8jXIdL6jtSlWGo-uxpSpMnTOad-xKkpM7rgg6O9LaFQf46XyZJSplMacBxDfLsQky1lTHb47eg9ulpoiHQKLqfGunQudXEG_AwOy4bceDsW3P7fNTk-PR53L83-8Py6e9g3wUBtrDC8dYw5w3XPUFmjut4asMtvyihURiJ0nAnlBe-lG7qWMS86LY1UwIVYk_s_NiDiac5hsvn71EpYYCl-ADM0V6M</recordid><startdate>200912</startdate><enddate>200912</enddate><creator>Vagh, H.</creator><creator>Baghai-Wadji, A.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200912</creationdate><title>On the construction of problem-specific basis functions for modelling the massloading effects in micro-acoustic devices</title><author>Vagh, H. ; Baghai-Wadji, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-a3925c11c928b1e6a967ba90a082696e694e072136f32b4cd7511f37849460233</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Acoustic waves</topic><topic>Boundary conditions</topic><topic>Electrodes</topic><topic>FEM</topic><topic>Finite difference methods</topic><topic>Finite element methods</topic><topic>Jacobi-Galerkin Formulation</topic><topic>Jacobian matrices</topic><topic>Mathematical analysis</topic><topic>Mesh Free Methods</topic><topic>Microacoustic Devices</topic><topic>Orthogonal-Jacobi Polynomials</topic><topic>Polynomials</topic><topic>Protection</topic><topic>Surface acoustic wave devices</topic><toplevel>online_resources</toplevel><creatorcontrib>Vagh, H.</creatorcontrib><creatorcontrib>Baghai-Wadji, A.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Vagh, H.</au><au>Baghai-Wadji, A.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On the construction of problem-specific basis functions for modelling the massloading effects in micro-acoustic devices</atitle><btitle>Proceedings of the 2009 12th International Symposium on Integrated Circuits</btitle><stitle>ISICIR</stitle><date>2009-12</date><risdate>2009</risdate><spage>260</spage><epage>263</epage><pages>260-263</pages><issn>2325-0631</issn><isbn>9810824688</isbn><isbn>9789810824686</isbn><abstract>This paper presents an efficient algorithm for modelling the massloading effect in 3D models of micro-acoustic devices, utilizing mesh-less Legendre, Jacobi-Galerkin approximations. The efficacy and utility of the proposed method rely on the construction of a set of problem-specific orthogonal basis functions, and the series expansion of non-separable field functions in terms of these functions. The ability to permit parallelization along with construction of closed-form formulae for the derivatives and definite integrals of the basis functions are further key features of our method. The feasibility of the method is demonstrated by obtaining numerical results for homogeneous boundary conditions for 2D and 3D problems. Our results are compared against available numerical data obtained by conventional finite element method implementations. Excellent agreement has been achieved.</abstract><pub>IEEE</pub><tpages>4</tpages></addata></record> |
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| ispartof | Proceedings of the 2009 12th International Symposium on Integrated Circuits, 2009, p.260-263 |
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| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Acoustic waves Boundary conditions Electrodes FEM Finite difference methods Finite element methods Jacobi-Galerkin Formulation Jacobian matrices Mathematical analysis Mesh Free Methods Microacoustic Devices Orthogonal-Jacobi Polynomials Polynomials Protection Surface acoustic wave devices |
| title | On the construction of problem-specific basis functions for modelling the massloading effects in micro-acoustic devices |
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