{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T17:40:05Z","timestamp":1648662005753},"reference-count":32,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[1999,11,1]],"date-time":"1999-11-01T00:00:00Z","timestamp":941414400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[1999,11]]},"DOI":"10.1016\/s0096-3003(98)10081-4","type":"journal-article","created":{"date-parts":[[2003,4,4]],"date-time":"2003-04-04T22:33:30Z","timestamp":1049495610000},"page":"101-119","source":"Crossref","is-referenced-by-count":2,"title":["Numerical analysis for systems with memory arising from semiconductor simulations"],"prefix":"10.1016","volume":"105","author":[{"given":"W.","family":"Allegretto","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Y.","family":"Lin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(98)10081-4_BIB1","unstructured":"R.A. Adams, Sobolev Spaces, Academic Press, New York, 1975"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB2","first-page":"237","article-title":"Connection between finite volume and mixed finite element methods for a diffusion problem with nonconstant coefficients. Application to a convection diffusion problem","volume":"3","author":"Agouzal","year":"1995","journal-title":"J. East-West J. Numer. Math."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB3","unstructured":"W. Allegretto, Y.S. Mun, A. Nathan, H.P. Baltes, Optimization of semiconductor magnetic field sensors using finite element analysis, Proceedings of NASECODE the Fourth Conference, Boole, Dublin, 1985, pp. 129\u2013133"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB4","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1137\/0519014","article-title":"Regularity of the solution of elliptic problems with piecewise analytic data, Part 1: Boundary value problems for linear elliptic equation of the second order","volume":"19","author":"Babu\u0161ka","year":"1988","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB5","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1137\/0520054","article-title":"Regularity of the solution of elliptic problems with piecewise analytic data, Part 2: The trace spaces and application to the boundary value problems with nonhomogeneous boundary conditions","volume":"20","author":"Babu\u0161ka","year":"1989","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB6","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/0022-0396(89)90116-2","article-title":"On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary","volume":"79","author":"Banasiak","year":"1989","journal-title":"J. Differential Equations"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB7","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/BF01385618","article-title":"Some upwinding techniques for finite element approximations of convection\u2013diffusion equations","volume":"58","author":"Bank","year":"1990","journal-title":"Numer. Math."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB8","unstructured":"R.E. Bank, J.W. Jerome, D.J. Rose, in: R. Glowinski, J.L. Lions (Eds.), Analytical and numerical aspects of semiconductor device modeling, Proceedings of the Fifth International Conference on Computational Methods in Applied Science and Engineering, North-Holland, Amsterdam, 1982, pp. 593\u2013597"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB9","doi-asserted-by":"crossref","first-page":"416","DOI":"10.1137\/0904032","article-title":"Numerical methods for semiconductor device modelling","volume":"4","author":"Bank","year":"1991","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB10","doi-asserted-by":"crossref","unstructured":"P.G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, 1978","DOI":"10.1115\/1.3424474"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB11","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1051\/m2an\/1983170100171","article-title":"The approximation of the pressure by a mixed method in the simulation of miscible displacement","volume":"17","author":"Douglas","year":"1983","journal-title":"RAIRO Anal. Num\u00e9r."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB12","first-page":"103","article-title":"Simulation of the transient behavior of a one-dimensional semiconductor device","volume":"5","author":"Douglas","year":"1986","journal-title":"Math. Appl. Comput."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB13","first-page":"25","article-title":"Finite difference methods for the transient behavior of a semiconductor device","volume":"6","author":"Douglas","year":"1987","journal-title":"Math. Appl. Comput."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB14","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1137\/0715075","article-title":"Time-stepping Galerkin methods for nonlinear Sobolev partial differential equations","volume":"15","author":"Ewing","year":"1978","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB15","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1080\/01630568908816293","article-title":"On the finite element approximation of functions with noninteger derivatives","volume":"10","author":"Feistauer","year":"1989","journal-title":"Numer. Funct. Anal. Optimiz."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB16","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1002\/zamm.19850650210","article-title":"On existence, uniqueness and asymptotic behavior of solutions of the basic equations for carrier transport in semiconductor","volume":"65","author":"Gajewski","year":"1985","journal-title":"Z. Angew. Math. Mech."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB17","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/0022-247X(86)90330-6","article-title":"On the basic equations for carrier transport in semiconductor","volume":"113","author":"Gajewski","year":"1986","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB18","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1137\/1037126","article-title":"The approximation problem for drift\u2013diffusion systems","volume":"37","author":"Jerome","year":"1995","journal-title":"SIAM Review"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB19","doi-asserted-by":"crossref","unstructured":"M. K\u0159\u0131\u0301\u017eek, Neittaanm\u00e4ki, Mathematical and Numerical Modelling in Electrical Engineering: Theory and Applications, Kluwer, Amsterdam, 1996","DOI":"10.1007\/978-94-015-8672-6"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB20","doi-asserted-by":"crossref","unstructured":"P.A. Markowich, The Stationary Semiconductor Device Equations, Springer, New York, 1986","DOI":"10.1007\/978-3-7091-3678-2"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB21","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1109\/43.127624","article-title":"A numerical model for two-dimensional transient simulation of amorphous silicon thin-film transistors","volume":"11","author":"McMacken","year":"1992","journal-title":"IEEE Transaction on Computer Aided Design"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB22","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1090\/S0025-5718-1988-0930223-7","article-title":"Inverse-average-type finite element discretizations of selfadjoint second-order elliptic problems","volume":"51","author":"Markowich","year":"1988","journal-title":"Math. Comp."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB23","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1051\/m2an\/1991250404411","article-title":"A triangular mixed finite element method for the stationary semiconductor device equations","volume":"25","author":"Miller","year":"1991","journal-title":"M2AN"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB24","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1093\/imanum\/14.2.257","article-title":"A new non-conforming Petrov-Galerkin finite element method with triangular elements for a singuarly perturbed advection-diffusion problem","volume":"14","author":"Miller","year":"1994","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB25","unstructured":"M.S. Mock, Analysis of Mathematical Models of Semiconductor Devices, Boole Press, Dublin, 1983"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB26","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1002\/(SICI)1099-1476(19960110)19:1<33::AID-MMA759>3.0.CO;2-H","article-title":"Sufficient conductions for converging drift-diffusion discrete systems. Application to the finite element method","volume":"19","author":"Nachaoui","year":"1996","journal-title":"Math. Meth. Appl. Sci."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB27","doi-asserted-by":"crossref","unstructured":"S. Selberherr, Analysis and Simulation of Semiconductor Devices, Springer, New York, 1984","DOI":"10.1007\/978-3-7091-8752-4"},{"key":"10.1016\/S0096-3003(98)10081-4_BIB28","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/BF02760180","article-title":"Regularization of mixed second order problems","volume":"6","author":"Shamir","year":"1968","journal-title":"Israel J. Math."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB29","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1002\/mma.1670100309","article-title":"Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods","volume":"10","author":"Stephan","year":"1988","journal-title":"Math. Meth. Appl. Sci."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB30","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1090\/S0025-5718-1992-1134742-3","article-title":"Finite element approximation to initial boundary value problems of the semiconductor device equations with magnetic influence","volume":"59","author":"Zhu","year":"1992","journal-title":"Math. Comp."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB31","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1137\/0731039","article-title":"A mixed method for the mixed initial boundary value problems of equations of semiconductor devices","volume":"31","author":"Zhu","year":"1994","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0096-3003(98)10081-4_BIB32","doi-asserted-by":"crossref","first-page":"27","DOI":"10.2307\/2008212","article-title":"Finite element solution of the fundamental equations of semiconductor devices I","volume":"46","author":"Zl\u00e1mal","year":"1986","journal-title":"Math. Comp."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300398100814?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300398100814?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T05:46:11Z","timestamp":1578462371000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300398100814"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,11]]},"references-count":32,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[1999,11]]}},"alternative-id":["S0096300398100814"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(98)10081-4","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[1999,11]]}}}