{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:39:20Z","timestamp":1740123560038,"version":"3.37.3"},"reference-count":57,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T00:00:00Z","timestamp":1524096000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T00:00:00Z","timestamp":1524096000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["OCI-1148291","DMS-1521748","DMS-1521748","W911NF-15-1-0222"],"award-info":[{"award-number":["OCI-1148291","DMS-1521748","DMS-1521748","W911NF-15-1-0222"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Science Foundation","award":["IIS-1212806"],"award-info":[{"award-number":["IIS-1212806"]}]},{"DOI":"10.13039\/100000057","name":"National Institute of General Medical Sciences","doi-asserted-by":"publisher","award":["24P1 RR0112553-12"],"award-info":[{"award-number":["24P1 RR0112553-12"]}],"id":[{"id":"10.13039\/100000057","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100004371","name":"Exxon Mobil Corporation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100004371","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":[[2018,10]]},"DOI":"10.1007\/s10915-018-0711-0","type":"journal-article","created":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T09:47:14Z","timestamp":1524131234000},"page":"397-418","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing"],"prefix":"10.1007","volume":"77","author":[{"given":"Vidhi","family":"Zala","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4987-2972","authenticated-orcid":false,"given":"Varun","family":"Shankar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shankar P.","family":"Sastry","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert M.","family":"Kirby","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,4,19]]},"reference":[{"key":"711_CR1","unstructured":"Baker, T.: Element quality in tetrahedral meshes. In: 7th International Conference on Finite Element Models in Flow Problems, Huntsville, Alabama (1989)"},{"issue":"1","key":"711_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s002110050181","volume":"73","author":"RE Bank","year":"1996","unstructured":"Bank, R.E., Xu, J.: An algorithm for coarsening unstructured meshes. Numer. Math. 73(1), 1\u201336 (1996)","journal-title":"Numer. Math."},{"issue":"2","key":"711_CR3","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/0045-7949(90)90131-K","volume":"36","author":"R Bhatia","year":"1990","unstructured":"Bhatia, R., Lawrence, K.: Two-dimensional finite element mesh generation based on stripwise automatic triangulation. Comput. Struct. 36(2), 309\u2013319 (1990). \n                    https:\/\/doi.org\/10.1016\/0045-7949(90)90131-K","journal-title":"Comput. Struct."},{"issue":"2","key":"711_CR4","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1002\/nme.1620210210","volume":"21","author":"JC Caendish","year":"1985","unstructured":"Caendish, J.C., Field, D.A., Frey, W.H.: An apporach to automatic three-dimensional finite element mesh generation. Int. J. Numer. Methods Eng. 21(2), 329\u2013347 (1985)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"711_CR5","doi-asserted-by":"publisher","unstructured":"Carr, J.C., Beatson, R.K., Cherrie, J.B., Mitchell, T.J., Fright, W.R., McCallum, B.C., Evans, T.R.: Reconstruction and representation of 3d objects with radial basis functions. In: Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH \u201901, pp. 67\u201376. ACM, New York, NY, USA (2001). \n                    https:\/\/doi.org\/10.1145\/383259.383266","DOI":"10.1145\/383259.383266"},{"key":"711_CR6","doi-asserted-by":"crossref","unstructured":"Carr, J.C., Beatson, R.K., McCallum, B.C., Fright, W.R., McLennan, T.J., Mitchell, T.J.: Smooth Surface Reconstruction from Noisy Range Data. In: Proceedings of the 1st International Conference on Computer Graphics and Interactive Techniques in Australasia and South East Asia, GRAPHITE \u201903, pp. 119\u2013ff. ACM, New York, NY, USA (2003)","DOI":"10.1145\/604471.604495"},{"key":"711_CR7","unstructured":"Chen, L.: Mesh smoothing schemes based on optimal delaunay triangulations. In: Proceedings of the 13th International Meshing Roundtable, IMR 2004, Williamsburg, Virginia, USA, September 19\u201322, 2004, pp. 109\u2013120 (2004). \n                    http:\/\/imr.sandia.gov\/papers\/abstracts\/Ch317.html"},{"issue":"2","key":"711_CR8","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1002\/fld.1650130203","volume":"13","author":"H Dannelongue","year":"1991","unstructured":"Dannelongue, H., Tanguy, P.: Three-dimensional adaptive finite element computations and applications to non-Newtonian fluids. Int. J. Numer. Methods Fluids 13(2), 145\u2013165 (1991)","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"11\u201314","key":"711_CR9","doi-asserted-by":"publisher","first-page":"784","DOI":"10.1016\/j.compstruc.2007.01.013","volume":"85","author":"A de Boer","year":"2007","unstructured":"de Boer, A., van der Schoot, M.S., Bijl, H.: Mesh deformation based on radial basis function interpolation. Comput. Struct. 85(11\u201314), 784\u2013795 (2007)","journal-title":"Comput. Struct."},{"key":"711_CR10","unstructured":"de\u00a0Cougny, H., Georges, M., Shephard, M.: Explicit node point mesh smoothing within the octree mesh generator. SCOREC Report: Scientific Computation Research Center. Program for Atuomated Modeling, Scientific Computation Research Center, Rensselaer Polytechnic Institute (1990). \n                    https:\/\/books.google.com\/books?id=QtGHPgAACAAJ"},{"issue":"3","key":"711_CR11","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1016\/S0898-1221(01)00295-4","volume":"43","author":"T Driscoll","year":"2002","unstructured":"Driscoll, T., Fornberg, B.: Interpolation in the limit of increasingly flat radial basis functions. Comput. Math. Appl. 43(3), 413\u2013422 (2002)","journal-title":"Comput. Math. Appl."},{"key":"711_CR12","doi-asserted-by":"crossref","unstructured":"Fasshauer, G.E.: Green\u2019s functions: taking another look at kernel approximation, radial basis functions and splines. In: Springer Proceedings in Mathematics, vol.\u00a013, pp. 37\u201363. Springer (2011)","DOI":"10.1007\/978-1-4614-0772-0_4"},{"key":"711_CR13","doi-asserted-by":"publisher","DOI":"10.1142\/6437","volume-title":"Meshfree Approximation Methods with MATLAB. Interdisciplinary Mathematical Sciences","author":"GE Fasshauer","year":"2007","unstructured":"Fasshauer, G.E.: Meshfree Approximation Methods with MATLAB. Interdisciplinary Mathematical Sciences, vol. 6. World Scientific Publishers, Singapore (2007)"},{"key":"711_CR14","doi-asserted-by":"publisher","first-page":"A737","DOI":"10.1137\/110824784","volume":"34","author":"GE Fasshauer","year":"2012","unstructured":"Fasshauer, G.E., McCourt, M.J.: Stable evaluation of Gaussian radial basis function interpolants. SIAM J. Sci. Comput. 34, A737\u2013A762 (2012)","journal-title":"SIAM J. Sci. Comput."},{"issue":"6","key":"711_CR15","doi-asserted-by":"publisher","first-page":"709","DOI":"10.1002\/cnm.1630040603","volume":"4","author":"DA Field","year":"1988","unstructured":"Field, D.A.: Laplacian smoothing and delaunay triangulations. Commun. Appl. Numer. Methods 4(6), 709\u2013712 (1988)","journal-title":"Commun. Appl. Numer. Methods"},{"issue":"5","key":"711_CR16","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/0961-3552(91)90031-X","volume":"13","author":"D Field","year":"1991","unstructured":"Field, D.: A generic Delaunay triangulation algorithm for finite element meshes. Adv. Eng. Softw. Workstn. 13(5), 263\u2013272 (1991). \n                    https:\/\/doi.org\/10.1016\/0961-3552(91)90031-X","journal-title":"Adv. Eng. Softw. Workstn."},{"issue":"4","key":"711_CR17","doi-asserted-by":"publisher","first-page":"887","DOI":"10.1002\/(SICI)1097-0207(20000210)47:4<887::AID-NME804>3.0.CO;2-H","volume":"47","author":"DA Field","year":"2000","unstructured":"Field, D.A.: Qualitative measures for initial meshes. Int. J. Numer. Methods Eng. 47(4), 887\u2013906 (2000)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"711_CR18","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.jcp.2016.05.026","volume":"321","author":"N Flyer","year":"2016","unstructured":"Flyer, N., Fornberg, B., Bayona, V., Barnett, G.A.: On the role of polynomials in rbf-fd approximations: I. Interpolation and accuracy. J. Comput. Phys. 321, 21\u201338 (2016). \n                    https:\/\/doi.org\/10.1016\/j.jcp.2016.05.026","journal-title":"J. Comput. Phys."},{"key":"711_CR19","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1137\/060671991","volume":"30","author":"B Fornberg","year":"2007","unstructured":"Fornberg, B., Piret, C.: A stable algorithm for flat radial basis functions on a sphere. SIAM J. Sci. Comput. 30, 60\u201380 (2007)","journal-title":"SIAM J. Sci. Comput."},{"key":"711_CR20","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1016\/j.camwa.2003.08.010","volume":"48","author":"B Fornberg","year":"2004","unstructured":"Fornberg, B., Wright, G.: Stable computation of multiquadric interpolants for all values of the shape parameter. Comput. Math. Appl. 48, 853\u2013867 (2004)","journal-title":"Comput. Math. Appl."},{"key":"711_CR21","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/j.camwa.2007.01.028","volume":"54","author":"B Fornberg","year":"2007","unstructured":"Fornberg, B., Zuev, J.: The Runge phenomenon and spatially variable shape parameters in RBF interpolation. Comput. Math. Appl. 54, 379\u2013398 (2007)","journal-title":"Comput. Math. Appl."},{"issue":"2","key":"711_CR22","doi-asserted-by":"publisher","first-page":"869","DOI":"10.1137\/09076756X","volume":"33","author":"B Fornberg","year":"2011","unstructured":"Fornberg, B., Larsson, E., Flyer, N.: Stable computations with Gaussian radial basis functions. SIAM J. Sci. Comput. 33(2), 869\u2013892 (2011)","journal-title":"SIAM J. Sci. Comput."},{"key":"711_CR23","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1016\/j.camwa.2012.11.006","volume":"65","author":"B Fornberg","year":"2013","unstructured":"Fornberg, B., Lehto, E., Powell, C.: Stable calculation of Gaussian-based RBF-FD stencils. Comput. Math. Appl. 65, 627\u2013637 (2013)","journal-title":"Comput. Math. Appl."},{"key":"711_CR24","unstructured":"Fukuda, J., Suhara, J.: Automatic mesh generation for FEA. In: Proceedings of International Conference on Finite Element Method, pp. 931\u2013937 (1982)"},{"issue":"3","key":"711_CR25","doi-asserted-by":"publisher","first-page":"1753","DOI":"10.1137\/110821846","volume":"50","author":"E Fuselier","year":"2012","unstructured":"Fuselier, E., Wright, G.: Scattered data interpolation on embedded submanifolds with restricted positive definite kernels: Sobolev error estimates. SIAM J. Numer. Anal. 50(3), 1753\u20131776 (2012). \n                    https:\/\/doi.org\/10.1137\/110821846","journal-title":"SIAM J. Numer. Anal."},{"key":"711_CR26","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-013-9688-x","author":"EJ Fuselier","year":"2013","unstructured":"Fuselier, E.J., Wright, G.B.: A high-order kernel method for diffusion and reaction-diffusion equations on surfaces. J. Sci. Comput. (2013). \n                    https:\/\/doi.org\/10.1007\/s10915-013-9688-x","journal-title":"J. Sci. Comput."},{"key":"711_CR27","doi-asserted-by":"crossref","unstructured":"Gargallo-Peiro, A., Roca, X., Peraire, J., Sarrate, J.: Defining quality measures for mesh optimization on parameterized CAD surfaces. In:Jiao, X., Weill, J.C. (eds.) Proceedings of the 21st International Meshing Roundtable, pp. 85\u2013102. Springer, Berlin (2013)","DOI":"10.1007\/978-3-642-33573-0_6"},{"key":"711_CR28","doi-asserted-by":"crossref","unstructured":"Gargallo-Peiro, A., Roca, X., Peraire, J., Sarrate, J.: Defining quality measures for validation and generation of high-order tetrahedral meshes. In: Sarrate, J., Staten, M. (eds.) Proceedings of the 22nd International Meshing Roundtable, pp. 109\u2013126. Springer, Berlin (2014)","DOI":"10.1007\/978-3-319-02335-9_7"},{"key":"711_CR29","unstructured":"George, P., Borouchaki, H.: Delaunay Triangulation and Meshing: Application to Finite Elements. Butterworth-Heinemann, Oxford (1998). \n                    https:\/\/books.google.com\/books?id=HZGfI61PSUQC"},{"key":"711_CR30","doi-asserted-by":"crossref","unstructured":"Geuzaine, C., Johnen, A., Lambrechts, J., Remacle, J.F., Toulorge, T.: IDIHOM: Industrialization of High-Order Methods\u2014A Top-Down Approach: Results of a Collaborative Research Project Funded by the European Union, 2010\u20132014, chap. The Generation of Valid Curvilinear Meshes, pp. 15\u201339. Springer, Cham (2015)","DOI":"10.1007\/978-3-319-12886-3_2"},{"issue":"1","key":"711_CR31","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1137\/S1064827500371499","volume":"23","author":"PM Knupp","year":"2001","unstructured":"Knupp, P.M.: Algebraic mesh quality metrics. SIAM J. Sci. Comput. 23(1), 193\u2013218 (2001). \n                    https:\/\/doi.org\/10.1137\/S1064827500371499","journal-title":"SIAM J. Sci. Comput."},{"issue":"5\u20136","key":"711_CR32","doi-asserted-by":"publisher","first-page":"891","DOI":"10.1016\/S0898-1221(03)90151-9","volume":"46","author":"E Larsson","year":"2003","unstructured":"Larsson, E., Fornberg, B.: A numerical study of some radial basis function based solution methods for elliptic PDEs. Comput. Math. Appl. 46(5\u20136), 891\u2013902 (2003)","journal-title":"Comput. Math. Appl."},{"key":"711_CR33","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.camwa.2005.01.010","volume":"49","author":"E Larsson","year":"2005","unstructured":"Larsson, E., Fornberg, B.: Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. Comput. Math. Appl. 49, 103\u2013130 (2005)","journal-title":"Comput. Math. Appl."},{"key":"711_CR34","doi-asserted-by":"crossref","unstructured":"Mac\u00eado, I., Gois, J.P., Velho, L.: Hermite interpolation of implicit surfaces with radial basis functions. In: 2009 XXII Brazilian Symposium on Computer Graphics and Image Processing, pp. 1\u20138 (2009)","DOI":"10.1109\/SIBGRAPI.2009.11"},{"key":"711_CR35","doi-asserted-by":"crossref","unstructured":"Malleswaran, M., Deborah, S.A., Manjula, S., Vaidehi, V.: Integration of INS and GPS using radial basis function neural networks for vehicular navigation. In: Control Automation Robotics Vision (ICARCV), 2010 11th International Conference, pp. 2427\u20132430 (2010)","DOI":"10.1109\/ICARCV.2010.5707295"},{"issue":"5","key":"711_CR36","doi-asserted-by":"publisher","first-page":"2376","DOI":"10.1016\/j.jcp.2011.11.033","volume":"231","author":"E Marchandise","year":"2012","unstructured":"Marchandise, E., Piret, C., Remacle, J.F.: CAD and mesh repair with radial basis functions. J. Comput. Phys. 231(5), 2376\u20132387 (2012). \n                    https:\/\/doi.org\/10.1016\/j.jcp.2011.11.033","journal-title":"J. Comput. Phys."},{"key":"711_CR37","unstructured":"Miller, T.: Optimal good-aspect-ratio coarsening for unstructured meshes. In: SODA: ACM-SIAM Symposium on Discrete Algorithms (1997)"},{"issue":"21","key":"711_CR38","doi-asserted-by":"publisher","first-page":"3551","DOI":"10.1002\/nme.1620382102","volume":"38","author":"P M\u00f6ller","year":"1995","unstructured":"M\u00f6ller, P., Hansbo, P.: On advancing front mesh generation in three dimensions. Int. J. Numer. Methods Eng. 38(21), 3551\u20133569 (1995). \n                    https:\/\/doi.org\/10.1002\/nme.1620382102","journal-title":"Int. J. Numer. Methods Eng."},{"key":"711_CR39","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1016\/j.cma.2014.09.019","volume":"283","author":"D Moxey","year":"2015","unstructured":"Moxey, D., Green, M., Sherwin, S., Peir\u00f3, J.: An isoparametric approach to high-order curvilinear boundary-layer meshing. Comput. Methods Appl. Mech. Eng. 283, 636\u2013650 (2015). Cited By 3","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"711_CR40","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1016\/j.cad.2015.09.007","volume":"72","author":"D Moxey","year":"2016","unstructured":"Moxey, D., Ekelschot, D., Keskin, \u00dc., Sherwin, S., Peir\u00f3, J.: High-order curvilinear meshing using a thermo-elastic analogy. Comput. Aided Des. 72, 130\u2013139 (2016). (23rd International Meshing Roundtable Special Issue: Advances in Mesh Generation)","journal-title":"Comput. Aided Des."},{"issue":"4","key":"711_CR41","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/0168-874X(91)90004-I","volume":"9","author":"V Parthasarathy","year":"1991","unstructured":"Parthasarathy, V., Kodiyalam, S.: A constrained optimization approach to finite element mesh smoothing. Finite Elem. Anal. Des. 9(4), 309\u2013320 (1991)","journal-title":"Finite Elem. Anal. Des."},{"issue":"3","key":"711_CR42","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/0168-874X(94)90033-7","volume":"15","author":"V Parthasarathy","year":"1994","unstructured":"Parthasarathy, V., Graichen, C., Hathaway, A.: A comparison of tetrahedron quality measures. Finite Elem. Anal. Des. 15(3), 255\u2013261 (1994)","journal-title":"Finite Elem. Anal. Des."},{"key":"711_CR43","unstructured":"Perronnet, A.: Triangulation par arbre-4 de triangles equilateraux et maximisation de la qualite. Tech. Rep. R 92015-Vol. 11; fasc. 3. Universit Pierre et Marie Curie (Paris) (1992). \n                    http:\/\/opac.inria.fr\/record=b1031284"},{"key":"711_CR44","doi-asserted-by":"crossref","unstructured":"Persson, P.-O., Peraire, J.: Curved mesh generation and mesh refinement using Lagrangian solid mechanics. In: Proceedings of the 47th AIAA Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, Inc., Orlando, pp. 949:1\u201311 (2009)","DOI":"10.2514\/6.2009-949"},{"issue":"2","key":"711_CR45","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1137\/S0036144503429121","volume":"46","author":"PO Persson","year":"2004","unstructured":"Persson, P.O., Strang, G.: A simple mesh generator in MATLAB. SIAM Rev. 46(2), 329\u2013345 (2004)","journal-title":"SIAM Rev."},{"key":"711_CR46","doi-asserted-by":"crossref","unstructured":"Remacle, J.F., Toulorge, T., Lambrechts, J.: Robust untangling of curvilinear meshes. In: Proceedings of the 21st International Meshing Roundtable, chap., pp. 71\u201383. Springer, Berlin (2013)","DOI":"10.1007\/978-3-642-33573-0_5"},{"issue":"3","key":"711_CR47","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/s00366-012-0294-6","volume":"30","author":"SP Sastry","year":"2014","unstructured":"Sastry, S.P., Shontz, S.M., Vavasis, S.A.: A log-barrier method for mesh quality improvement and untangling. Eng. Comput. 30(3), 315\u2013329 (2014)","journal-title":"Eng. Comput."},{"key":"711_CR48","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/j.proeng.2015.10.128","volume":"124","author":"SP Sastry","year":"2015","unstructured":"Sastry, S.P., Zala, V., Kirby, R.M.: Thin-plate-spline curvilinear meshing on a calculus-of-variations framework. Proc. Eng. 124, 135\u2013147 (2015). (24th International Meshing Roundtable)","journal-title":"Proc. Eng."},{"issue":"04","key":"711_CR49","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1142\/S0129065709002026","volume":"19","author":"R Savitha","year":"2009","unstructured":"Savitha, R., Suresh, S., Sundararajan, N.: A fully complex-valued radial basis function network and its learning algorithm. Int. J. Neural Syst. 19(04), 253\u2013267 (2009). (PMID: 19731399)","journal-title":"Int. J. Neural Syst."},{"key":"711_CR50","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1007\/s00365-004-0585-2","volume":"21","author":"R Schaback","year":"2005","unstructured":"Schaback, R.: Multivariate interpolation by polynomials and radial basis functions. Constr. Approx. 21, 293\u2013317 (2005)","journal-title":"Constr. Approx."},{"issue":"1","key":"711_CR51","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/fld.3880","volume":"75","author":"V Shankar","year":"2014","unstructured":"Shankar, V., Wright, G.B., Fogelson, A.L., Kirby, R.M.: A radial basis function (RBF)-finite difference method for the simulation of reaction\u2013diffusion equations on stationary platelets within the augmented forcing method. Int. J. Numer. Methods Fluids 75(1), 1\u201322 (2014). \n                    https:\/\/doi.org\/10.1002\/fld.3880","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"3","key":"711_CR52","doi-asserted-by":"publisher","first-page":"745","DOI":"10.1007\/s10915-014-9914-1","volume":"63","author":"V Shankar","year":"2015","unstructured":"Shankar, V., Wright, G., Kirby, R., Fogelson, A.: A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction\u2013diffusion equations on surfaces. J. Sci. Comput. 63(3), 745\u2013768 (2015). \n                    https:\/\/doi.org\/10.1007\/s10915-014-9914-1","journal-title":"J. Sci. Comput."},{"key":"711_CR53","doi-asserted-by":"crossref","unstructured":"Staten, M.L., Owen, S.J., Shontz, S.M., Salinger, A.G., Coffey, T.S.: A comparison of mesh morphing methods for 3D shape optimization. In: Proceedings of the 20th International Meshing Roundtable, chap., pp. 293\u2013311. Springer, Berlin (2012)","DOI":"10.1007\/978-3-642-24734-7_16"},{"key":"711_CR54","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1016\/j.jcp.2013.07.022","volume":"254","author":"T Toulorge","year":"2013","unstructured":"Toulorge, T., Geuzaine, C., Remacle, J.F., Lambrechts, J.: Robust untangling of curvilinear meshes. J. Comput. Phys. 254, 8\u201326 (2013)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"711_CR55","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1090\/qam\/8537","volume":"1","author":"HS Tsien","year":"1943","unstructured":"Tsien, H.S.: Symmetrical Joukowsky airfoils in shear flow. Q. Appl. Math. 1(2), 130\u2013148 (1943)","journal-title":"Q. Appl. Math."},{"key":"711_CR56","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1016\/j.proeng.2016.11.069","volume":"163","author":"M Turner","year":"2016","unstructured":"Turner, M., Peir, J., Moxey, D.: A variational framework for high-order mesh generation. Proc. Eng. 163, 340\u2013352 (2016). \n                    https:\/\/doi.org\/10.1016\/j.proeng.2016.11.069\n                    \n                  . (25th International Meshing Roundtable)","journal-title":"Proc. Eng."},{"key":"711_CR57","unstructured":"Watabayshi, G., Galt, J.: An optimized triangular mesh system from random points. Numer. Grid Gen. Comput. Fluid Dyn. 437\u2013438 (1986)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-018-0711-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0711-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-018-0711-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T09:31:33Z","timestamp":1589707893000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-018-0711-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,19]]},"references-count":57,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["711"],"URL":"https:\/\/doi.org\/10.1007\/s10915-018-0711-0","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2018,4,19]]},"assertion":[{"value":"29 March 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 March 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 April 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 April 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}