{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T12:10:01Z","timestamp":1723205401336},"reference-count":0,"publisher":"Wiley","issue":"1-4","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":730,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["VLSI Design"],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:p>We develop the <jats:italic>box method<\/jats:italic> for solving partial differential equations in the divergence (or\nconservation law) form. We first use graphic theoretical approaches to generate grids, i.e. partition\nthe governing domain into boxes. Then we apply Green\u2019s theorem box\u2010wisely and the <jats:italic>constant-j<\/jats:italic> assumption edge\u2010pair\u2010wisely to obtain the discretization system of equations,\nwhich lead to the numerical solution to the problem. We show that the box method is inherently\nmore efficient than the traditional finite element method for linear (or <jats:italic>convection-diffusion<\/jats:italic>)\nproblems in and 2 dimensions. We also present some potential thoughts on\nimplementing the box method for problems in higher dimensions and with nonlinearity.<\/jats:p>","DOI":"10.1155\/1998\/90420","type":"journal-article","created":{"date-parts":[[2007,9,18]],"date-time":"2007-09-18T12:57:27Z","timestamp":1190120247000},"page":"111-115","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Gridding and Discretization For Divergence Form(Semiconductor\u2010Like) PDEs"],"prefix":"10.1155","volume":"6","author":[{"given":"Ming Y.","family":"Kao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Donald J.","family":"Rose","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hai","family":"Shao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[1998,1]]},"container-title":["VLSI Design"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1998\/090420.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/vlsi\/1998\/090420.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/1998\/90420","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T11:32:35Z","timestamp":1723203155000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/1998\/90420"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":0,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1155\/1998\/90420"],"URL":"https:\/\/doi.org\/10.1155\/1998\/90420","archive":["Portico"],"relation":{},"ISSN":["1065-514X","1563-5171"],"issn-type":[{"type":"print","value":"1065-514X"},{"type":"electronic","value":"1563-5171"}],"subject":[],"published":{"date-parts":[[1998,1]]},"assertion":[{"value":"1998-01-01","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}