{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,18]],"date-time":"2026-09-18T07:13:21Z","timestamp":1789715601945,"version":"4.0.1"},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540260325","type":"print"},{"value":"9783540321118","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11428831_2","type":"book-chapter","created":{"date-parts":[[2010,7,14]],"date-time":"2010-07-14T04:14:05Z","timestamp":1279080845000},"page":"9-16","source":"Crossref","is-referenced-by-count":5,"title":["2D FE Quad Mesh Smoothing via Angle-Based Optimization"],"prefix":"10.1007","author":[{"given":"Hongtao","family":"Xu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Timothy S.","family":"Newman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"2_CR1","unstructured":"Freitag, L.: On Combining Laplacian and Optimization-Based Mesh Smoothing Techniques. In: Proc., 6th Int\u2019l Mesh. Roundtable, London, AMD-vol.\u00a0220, pp. 375\u2013390 (1997)"},{"key":"2_CR2","unstructured":"Zhou, T., Shimada, K.: An Angle-Based Approach to Two-Dimensional Mesh Smoothing. In: Proc., 9th Int\u2019l Mesh, Roundtable, New Orleans, pp. 373\u2013384 (2000)"},{"key":"2_CR3","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/0168-874X(93)90056-V","volume":"13","author":"S. Canann","year":"1993","unstructured":"Canann, S., Stephenson, M., Blacker, T.: Optismoothing: An optimization-driven approach to mesh smoothing. Finite Elements in Analysis and Design\u00a013, 185\u2013190 (1993)","journal-title":"Finite Elements in Analysis and Design"},{"key":"2_CR4","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/S0168-874X(99)00026-8","volume":"34","author":"T. Li","year":"2000","unstructured":"Li, T., Wong, S., Hon, Y., Armstrong, C., McKeag, R.: Smoothing by optimisation for a quadrilateral mesh with invalid element. Finite Elements in Analysis and Design\u00a034, 37\u201360 (2000)","journal-title":"Finite Elements in Analysis and Design"},{"key":"2_CR5","unstructured":"Amenta, N., Bern, M., Eppstein, D.: Optimal point placement for mesh smoothing. In: Proc., 8th ACM-SIAM Symp. on Disc. Alg., New Orleans, pp. 528\u2013537 (1997)"},{"key":"2_CR6","unstructured":"Canann, S., Tristano, J., Staten, M.: An Approach to Combined Laplacian and Optimization-Based Smoothing for Triangular, Quadrilateral, and Quad-Dominant Meshes. In: Proc., 7th Int\u2019l Mesh, Roundtable, Dearborn, Mich., pp. 479\u2013494 (1998)"},{"key":"2_CR7","doi-asserted-by":"publisher","first-page":"2023","DOI":"10.1137\/S1064827597323208","volume":"20","author":"J. Freitag","year":"1999","unstructured":"Freitag, J., Jones, M., Plassmann, P.: A Parallel Algorithm for Mesh Smoothing. SIAM J. on Scientific Computing\u00a020, 2023\u20132040 (1999)","journal-title":"SIAM J. on Scientific Computing"},{"key":"2_CR8","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1002\/cnm.1640110510","volume":"11","author":"P. Hansbo","year":"1995","unstructured":"Hansbo, P.: Generalized Laplacian Smoothing of Unstructured Grids. Communications in Numerical Methods in Engineering\u00a011, 455\u2013464 (1995)","journal-title":"Communications in Numerical Methods in Engineering"},{"key":"2_CR9","doi-asserted-by":"publisher","first-page":"709","DOI":"10.1002\/cnm.1630040603","volume":"4","author":"D. Field","year":"1988","unstructured":"Field, D.: Laplacian Smoothing and Delaunay Triangulations. Comm. in Applied Numerical Methods\u00a04, 709\u2013712 (1988)","journal-title":"Comm. in Applied Numerical Methods"},{"key":"2_CR10","unstructured":"Xu, H.: An Optimization Approach for 2D Finite Element Mesh Smoothing, M. S. Thesis, Dept. of Comp. Sci., Univ. of Ala. in Huntsville, Huntsville (2003)"},{"key":"2_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/b98874","volume-title":"Numerical Optimization","author":"J. Nocedal","year":"1999","unstructured":"Nocedal, J., Wright, S.: Numerical Optimization. Springer, New York (1999)"}],"container-title":["Lecture Notes in Computer Science","Computational Science \u2013 ICCS 2005"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11428831_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,16]],"date-time":"2019-03-16T18:59:21Z","timestamp":1552762761000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11428831_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540260325","9783540321118"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/11428831_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005]]}}}