乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,24]],"date-time":"2024-07-24T23:08:20Z","timestamp":1721862500979},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,11,10]],"date-time":"2016-11-10T00:00:00Z","timestamp":1478736000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,11,10]],"date-time":"2016-11-10T00:00:00Z","timestamp":1478736000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11471196","10971254"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["EAR-0934747","DMS-1216923"],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2017,5]]},"DOI":"10.1007\/s10915-016-0316-4","type":"journal-article","created":{"date-parts":[[2016,11,10]],"date-time":"2016-11-10T09:26:45Z","timestamp":1478770005000},"page":"660-681","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Mixed-Type Galerkin Variational Principle and Numerical Simulation for a Generalized Nonlocal Elastic Model"],"prefix":"10.1007","volume":"71","author":[{"given":"Lueling","family":"Jia","sequence":"first","affiliation":[]},{"given":"Huanzhen","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Hong","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,11,10]]},"reference":[{"key":"316_CR1","volume-title":"Sobolev Spaces","author":"RA Adams","year":"2009","unstructured":"Adams, R.A., Fournier, J.F.: Sobolev Spaces. Elsevier, Singapore (2009)"},{"key":"316_CR2","doi-asserted-by":"publisher","first-page":"012078","DOI":"10.1088\/1742-6596\/125\/1\/012078","volume":"125","author":"E Askari","year":"2008","unstructured":"Askari, E., Bobaru, F., Lehoucq, R.B., Parks, M.L., Silling, S.A., Weckner, O.: Peridynamics for multiscale materials modeling. J. Phys. Conf. Ser. 125, 012078 (2008)","journal-title":"J. Phys. Conf. Ser."},{"key":"316_CR3","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971538","volume-title":"Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods","author":"R Barrett","year":"1994","unstructured":"Barrett, R., Berry, M., Chan, T., Demmel, J., Donato, J., Dongarra, J., Eijkhout, V., Pozo, R., Romine, C., van der Vorst, H.: Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. SIAM, Philadelphia (1994)"},{"key":"316_CR4","volume-title":"The Mathematical Theory of Finite Element Methods","author":"S Brenner","year":"1998","unstructured":"Brenner, S., Scott, L.R.: The Mathematical Theory of Finite Element Methods. Springer, New York (1998)"},{"issue":"12","key":"316_CR5","doi-asserted-by":"publisher","first-page":"5096","DOI":"10.1063\/1.1416180","volume":"8","author":"BA Carreras","year":"2001","unstructured":"Carreras, B.A., Lynch, V.E., Zaslavsky, G.M.: Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence models. Phys. Plasmas 8(12), 5096\u20135103 (2001)","journal-title":"Phys. Plasmas"},{"key":"316_CR6","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718850","volume-title":"An Introduction to Iterative Toeplitz Solvers","author":"R Chan","year":"2007","unstructured":"Chan, R., Jin, X.: An Introduction to Iterative Toeplitz Solvers. SIAM, Philadelphia (2007)"},{"key":"316_CR7","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1016\/j.cam.2015.09.022","volume":"296","author":"HZ Chen","year":"2016","unstructured":"Chen, H.Z., Wang, H.: Numerical simulation for conservative fractional diffusion equation by an expanded mixed formulation. J. Comput. Appl. Math. 296, 480\u2013498 (2016)","journal-title":"J. Comput. Appl. Math."},{"key":"316_CR8","volume-title":"The Finite Element Method for Elliptic Problems","author":"PG Ciarlet","year":"1978","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam (1978)"},{"key":"316_CR9","volume-title":"Circulant Matrices","author":"PJ Davis","year":"1979","unstructured":"Davis, P.J.: Circulant Matrices. Wiley, New York (1979)"},{"issue":"6","key":"316_CR10","doi-asserted-by":"publisher","first-page":"1845","DOI":"10.1051\/m2an\/2013091","volume":"47","author":"WH Deng","year":"2013","unstructured":"Deng, W.H., Hesthaven, J.S.: Discontinuous Galerkin methods for fractional diffusion equations. ESAIM M2AN. Math. Model. Numer. Anal. 47(6), 1845\u20131864 (2013)","journal-title":"Math. Model. Numer. Anal."},{"key":"316_CR11","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1016\/j.jcp.2015.05.008","volume":"297","author":"N Du","year":"2015","unstructured":"Du, N., Wang, H., Wang, C.: A fast method for a generalized nonlocal elastic model. J. Comput. Phys. 297, 72\u201383 (2015)","journal-title":"J. Comput. Phys."},{"key":"316_CR12","volume-title":"Nonlocal Continuum Field Theories","author":"AC Eringen","year":"2002","unstructured":"Eringen, A.C.: Nonlocal Continuum Field Theories. Springer, New York (2002)"},{"key":"316_CR13","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1002\/num.20112","volume":"22","author":"VJ Ervin","year":"2005","unstructured":"Ervin, V.J., Roop, J.P.: Variational formulation for the stationary fractional advection dispersion equation. Numer. Methods Partial Differ. Equ. 22, 558\u2013576 (2005)","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"3","key":"316_CR14","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1561\/0100000006","volume":"2","author":"RM Gray","year":"2006","unstructured":"Gray, R.M.: Toeplitz and circulant matrices: a review. Found. Trends Commun. Inf. Theory 2(3), 155\u2013239 (2006)","journal-title":"Found. Trends Commun. Inf. Theory"},{"key":"316_CR15","doi-asserted-by":"publisher","first-page":"1581","DOI":"10.1137\/090766607","volume":"8","author":"M Gunzburger","year":"2010","unstructured":"Gunzburger, M., Lehoucq, R.B.: A nonlocal vector calculus with application to nonlocal boundary value problems. Multiscale Model. Simul. 8, 1581\u20131598 (2010)","journal-title":"Multiscale Model. Simul."},{"key":"316_CR16","doi-asserted-by":"publisher","first-page":"2665","DOI":"10.1090\/mcom\/2960","volume":"84","author":"BT Jin","year":"2015","unstructured":"Jin, B.T., Lazarov, R., Pasciak, J., Rundell, W.: Variational formulation of problems involving fractional order differential operators. Math. Comput. 84, 2665\u20132700 (2015)","journal-title":"Math. Comput."},{"key":"316_CR17","doi-asserted-by":"publisher","first-page":"715","DOI":"10.1016\/j.jcp.2013.02.025","volume":"242","author":"SL Lei","year":"2013","unstructured":"Lei, S.L., Sun, H.W.: A circulant preconditioner for fractional diffusion equations. J. Comput. Phys. 242, 715\u2013725 (2013)","journal-title":"J. Comput. Phys."},{"key":"316_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65161-8","volume-title":"Non-homogeneous Boundary Value Problems and Applications","author":"JL Lions","year":"1972","unstructured":"Lions, J.L., Magenes, E.: Non-homogeneous Boundary Value Problems and Applications, vol. I. Springer, New York (1972)"},{"key":"316_CR19","volume-title":"Fractional Differential Equations","author":"I Podlubny","year":"1999","unstructured":"Podlubny, I.: Fractional Differential Equations. Academic Press, New York (1999)"},{"key":"316_CR20","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1007\/BFb0064470","volume":"606","author":"PA Raviart","year":"1997","unstructured":"Raviart, P.A., Thomas, J.M.: A mixed finite element method for 2-nd order elliptic problem. Lecture Notes in Mathematics 606, 292\u2013315 (1997)","journal-title":"Lecture Notes in Mathematics"},{"key":"316_CR21","unstructured":"Royden, H.L., Fitzpatrick, P.M.: Real Analysis. China Machine Press, Beijing (1988)"},{"key":"316_CR22","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/S0022-5096(99)00029-0","volume":"48","author":"SA Silling","year":"2000","unstructured":"Silling, S.A.: Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids. 48, 175\u2013209 (2000)","journal-title":"J. Mech. Phys. Solids."},{"key":"316_CR23","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/s10659-008-9163-3","volume":"93","author":"SA Silling","year":"2008","unstructured":"Silling, S.A., Lehoucq, R.B.: Convergence of peridynamics to classical elasticity theory. J. Elasticity 93, 13\u201337 (2008)","journal-title":"J. Elasticity"},{"key":"316_CR24","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/S0065-2156(10)44002-8","volume":"44","author":"SA Silling","year":"2010","unstructured":"Silling, S.A., Lehoucq, R.B.: Peridynamic theory of solid mechanics. Adv. Appl. Mech. 44, 73\u2013168 (2010)","journal-title":"Adv. Appl. Mech."},{"key":"316_CR25","doi-asserted-by":"publisher","first-page":"160602","DOI":"10.1103\/PhysRevLett.104.160602","volume":"104","author":"A Taloni","year":"2010","unstructured":"Taloni, A., Chechkin, A., Klafter, J.: Generalized elastic model yields a fractional Langevin equation description. Phys. Rev. Lett. 104, 160602 (2010)","journal-title":"Phys. Rev. Lett."},{"key":"316_CR26","doi-asserted-by":"publisher","first-page":"810","DOI":"10.1016\/j.advwatres.2010.11.003","volume":"34","author":"KX Wang","year":"2011","unstructured":"Wang, K.X., Wang, H.: A fast characteristic finite difference method for fractional advection-diffusion equations. Elsevier Adv. Water. Resour. 34, 810\u2013816 (2011)","journal-title":"Elsevier Adv. Water. Resour."},{"issue":"3","key":"316_CR27","doi-asserted-by":"publisher","first-page":"1683","DOI":"10.1103\/PhysRevE.48.1683","volume":"48","author":"GM Zaslavsky","year":"1993","unstructured":"Zaslavsky, G.M., Stevens, D., Weitzner, H.: Self-similar transport in incomplete chaos. Phys. Rev. E 48(3), 1683\u20131694 (1993)","journal-title":"Phys. Rev. E"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0316-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-016-0316-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0316-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T09:15:27Z","timestamp":1589706927000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-016-0316-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,10]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,5]]}},"alternative-id":["316"],"URL":"https:\/\/doi.org\/10.1007\/s10915-016-0316-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11,10]]},"assertion":[{"value":"8 June 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 October 2016","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 November 2016","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 November 2016","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}