{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T04:51:12Z","timestamp":1764996672313},"reference-count":10,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1999,7,1]],"date-time":"1999-07-01T00:00:00Z","timestamp":930787200000},"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":[[1999,7]]},"DOI":"10.1016\/s0096-3003(98)10019-x","type":"journal-article","created":{"date-parts":[[2003,4,4]],"date-time":"2003-04-04T17:33:30Z","timestamp":1049477610000},"page":"51-62","source":"Crossref","is-referenced-by-count":18,"title":["Characteristic finite element methods for nonlinear Sobolev equations"],"prefix":"10.1016","volume":"102","author":[{"given":"Haiming","family":"Gu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(98)10019-X_BIB1","doi-asserted-by":"crossref","first-page":"1286","DOI":"10.1016\/0021-8928(60)90107-6","article-title":"Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks","volume":"24","author":"Barenblatt","year":"1960","journal-title":"J. Appl. Mech."},{"key":"10.1016\/S0096-3003(98)10019-X_BIB2","doi-asserted-by":"crossref","first-page":"614","DOI":"10.1007\/BF01594969","article-title":"On a theory of heat conduction involving two temperatures","volume":"19","author":"Chen","year":"1968","journal-title":"Z. Angew. Math. Phys."},{"key":"10.1016\/S0096-3003(98)10019-X_BIB3","first-page":"327","article-title":"Aquasilinear parabolic and a related third order problem","volume":"49","author":"Davis","year":"1970","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0096-3003(98)10019-X_BIB4","first-page":"249","article-title":"A coupled non-linear hyperbolic-Sobolev system","volume":"114","author":"Ewing","year":"1997","journal-title":"Ann. Mat. Pura Appl. Ser. IV"},{"key":"10.1016\/S0096-3003(98)10019-X_BIB5","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1137\/0503051","article-title":"Existence and representation theorems for a semi-linear Sobolev equation in Banach space","volume":"3","author":"Showalter","year":"1972","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0096-3003(98)10019-X_BIB6","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/BF01436565","article-title":"Galerkin methods for parabolic equations with nonlinear boundary conditions","volume":"20","author":"Douglas","year":"1973","journal-title":"Numer. Math."},{"key":"10.1016\/S0096-3003(98)10019-X_BIB7","doi-asserted-by":"crossref","unstructured":"J. Douglas Jr., J.E. Roberts, Numerical method for a model for compressible miscible displacement in porous media, Math. Comp. 41 (1983) 441\u2013445","DOI":"10.1090\/S0025-5718-1983-0717695-3"},{"key":"10.1016\/S0096-3003(98)10019-X_BIB8","first-page":"136","article-title":"The characteristic finite element method for semi-linear Sobolev equation and optimal order error estimates","volume":"2","author":"Rui","year":"1994","journal-title":"J. Shandong University"},{"key":"10.1016\/S0096-3003(98)10019-X_BIB9","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1137\/0710062","article-title":"A prior L2 error estimates for Galerkin approximations to parabolic partial differential equation","volume":"10","author":"Wheeler","year":"1973","journal-title":"SIAM. Numer. Anal."},{"key":"10.1016\/S0096-3003(98)10019-X_BIB10","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1137\/0719063","article-title":"Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures","volume":"19","author":"Douglas","year":"1982","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009630039810019X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009630039810019X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,12]],"date-time":"2019-04-12T02:24:20Z","timestamp":1555035860000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S009630039810019X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,7]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1999,7]]}},"alternative-id":["S009630039810019X"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(98)10019-x","relation":{},"ISSN":["0096-3003"],"issn-type":[{"type":"print","value":"0096-3003"}],"subject":[],"published":{"date-parts":[[1999,7]]}}}