{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T20:17:52Z","timestamp":1760645872460},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2012,1,12]],"date-time":"2012-01-12T00:00:00Z","timestamp":1326326400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2012,9]]},"DOI":"10.1007\/s11075-011-9531-0","type":"journal-article","created":{"date-parts":[[2012,1,11]],"date-time":"2012-01-11T04:44:28Z","timestamp":1326257068000},"page":"83-103","source":"Crossref","is-referenced-by-count":2,"title":["Adapting nodes in three dimensional irregular regions for meshless-type methods"],"prefix":"10.1007","volume":"61","author":[{"given":"Kamal","family":"Shanazari","sequence":"first","affiliation":[]},{"given":"Mohammad","family":"Hosami","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,1,12]]},"reference":[{"issue":"2","key":"9531_CR1","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1006\/jcph.2000.6679","volume":"167","author":"G Beckett","year":"2001","unstructured":"Beckett, G., Mackenzie, J.A., Ramage, A., Sloan, D.M.: On the numerical solution of one-dimensional PDEs using adaptive methods based on equi-distribution. J. Comput. Phys. 167(2), 372\u2013392 (2001)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"9531_CR2","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/j.cag.2009.03.006","volume":"33","author":"Y Choi","year":"2009","unstructured":"Choi, Y., Know, K.Y., Chae, S.W., Kim, D.M.: A modified advancing layers mesh generation for thin three-dimensional objects with variable thickness. Comput. Graph. 33(3), 195\u2013203 (2009)","journal-title":"Comput. Graph."},{"issue":"6","key":"9531_CR3","doi-asserted-by":"crossref","first-page":"1978","DOI":"10.1137\/S1064827597327656","volume":"20","author":"W Cao","year":"1999","unstructured":"Cao, W., Huang, W., Russell, R.D.: A study of monitor functions for two-dimensional adaptive mesh generation. SIAM J. Sci. Comput. 20(6), 1978\u20131994 (1999)","journal-title":"SIAM J. Sci. Comput."},{"issue":"5","key":"9531_CR4","doi-asserted-by":"crossref","first-page":"1028","DOI":"10.1137\/0722061","volume":"22","author":"GF Carey","year":"1985","unstructured":"Carey, G.F., Dinh, H.T.: Grading functions and mesh redistribution. SIAM J. Numer. Anal. 22(5), 1028\u20131040 (1985)","journal-title":"SIAM J. Numer. Anal."},{"issue":"11","key":"9531_CR5","doi-asserted-by":"crossref","first-page":"1717","DOI":"10.1002\/nme.1620171110","volume":"17","author":"GF Carey","year":"2005","unstructured":"Carey, G.F., Humphrey, D.L.: Mesh refinement and iterative solution methods for finite element computations. Int. J. Numer. Methods Eng. 17(11), 1717\u20131734 (2005)","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"3","key":"9531_CR6","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/S0898-1221(01)00292-9","volume":"43","author":"CS Chen","year":"2002","unstructured":"Chen, C.S., Ganesh, M., Golberg, M.A., Cheng, A.H.D.: Multi-level compact radial functions based computational schemes for some elliptic problems. Comput. Math. Appl. 43(3), 359\u2013378 (2002)","journal-title":"Comput. Math. Appl."},{"issue":"10","key":"9531_CR7","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1002\/cnm.1640101008","volume":"10","author":"K Chen","year":"1994","unstructured":"Chen, K.: Two-dimensional adaptive quadrilateral mesh generation. Commun. Numer. Methods Eng. 10(10), 815\u2013825 (1994)","journal-title":"Commun. Numer. Methods Eng."},{"issue":"4","key":"9531_CR8","doi-asserted-by":"crossref","first-page":"798","DOI":"10.1137\/0915050","volume":"15","author":"K Chen","year":"1994","unstructured":"Chen, K.: Error equidistribution and mesh adaptation. SIAM J. Sci. Comput. 15(4), 798\u2013818 (1994)","journal-title":"SIAM J. Sci. Comput."},{"key":"9531_CR9","series-title":"Lecture Notes Series","volume-title":"In good approximation by splines with variable knots II","author":"C Boor De","year":"1973","unstructured":"De Boor, C.: In good approximation by splines with variable knots II. Lecture Notes Series, vol. 363. Springer, Berlin (1973)"},{"key":"9531_CR10","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/BFb0086566","volume-title":"Constructive Theory of Function of Several Variables","author":"J Duchon","year":"1977","unstructured":"Duchon, J.: Spline minimizing rotation-invariant semi-norms in Sobolev spaces. In: Schempp, W., Zeller, K. (eds.) Constructive Theory of Function of Several Variables. Lecture Notes in Mathematics, vol. 571, pp. 85\u2013100. Springer, Berlin (1977)"},{"key":"9531_CR11","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1023\/A:1018919824891","volume":"11","author":"GE Fasshauer","year":"1999","unstructured":"Fasshauer, G.E.: Solving partial differential equations with radial basis function: multi-level methods and smoothing. Adv. Comput. Math. 11, 139\u2013159 (1999)","journal-title":"Adv. Comput. Math."},{"key":"9531_CR12","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/S0898-1221(01)00296-6","volume":"43","author":"GE Fasshauer","year":"2002","unstructured":"Fasshauer, G.E.: Newton iteration with multiquadrics for the solution of PDEs. Comput. Math. Appl. 43, 423\u2013438 (2002)","journal-title":"Comput. Math. Appl."},{"issue":"8\/9","key":"9531_CR13","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0898-1221(90)90272-L","volume":"19","author":"RL Hardy","year":"1990","unstructured":"Hardy, R.L.: Theory and applications of the multiquadrics-biharmonic method: 20 years of discovery. Comput. Math. Appl. 19(8\/9), 163\u2013208 (1990)","journal-title":"Comput. Math. Appl."},{"issue":"8\/9","key":"9531_CR14","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/0898-1221(90)90271-K","volume":"19","author":"EJ Kansa","year":"1990","unstructured":"Kansa, E.J.: Multiquadrics\u2014a scattered data approximation scheme with applications to computational fluid dynamics- part I. Comput. Math. Appl. 19(8\/9), 147\u2013161 (1990)","journal-title":"Comput. Math. Appl."},{"issue":"8\/9","key":"9531_CR15","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/0898-1221(90)90271-K","volume":"19","author":"EJ Kansa","year":"1990","unstructured":"Kansa, E.J.: Multiquadrics\u2014a scattered data approximation scheme with applications to computational fluid dynamics\u2013part II. Comput. Math. Appl. 19(8\/9), 147\u2013161 (1990)","journal-title":"Comput. Math. Appl."},{"issue":"7\/8","key":"9531_CR16","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S0898-1221(00)00071-7","volume":"39","author":"EJ Kansa","year":"2000","unstructured":"Kansa, E.J., Hon, Y.C.: Circunventing the ill-conditioning problem with multiquadric radial basis functions. Comput. Math. Appl. 39(7\/8), 123\u2013137 (2000)","journal-title":"Comput. Math. Appl."},{"issue":"4","key":"9531_CR17","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1137\/0901033","volume":"1","author":"J Kautsky","year":"1980","unstructured":"Kautsky, J., Nichols, N.K.: Equi-distributing meshes with constraints. SIAM J. Sci. Statist. Comput. 1(4), 449\u2013511 (1980)","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"9531_CR18","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s11075-005-7079-6","volume":"40","author":"N Kopteva","year":"2005","unstructured":"Kopteva, N., Madden, N., Stynes, M.: Grid equidistribution for reactiondiffusion problems in one dimension. Numer. Algorithms 40, 305\u2013322 (2005)","journal-title":"Numer. Algorithms"},{"key":"9531_CR19","doi-asserted-by":"crossref","unstructured":"Powell, M.J.D.: The theory of radial basis function approximation in 1990. In: Light, W.A. (ed.) Advances in Numerical Analysis, vol. 2: Wavelets, Subdivision-algorithms and Radial Basis Functions, pp. 105\u2013210. Oxford Univ. Press (1992)","DOI":"10.1093\/oso\/9780198534396.003.0003"},{"key":"9531_CR20","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1016\/S0955-7997(03)00072-9","volume":"27","author":"K Shanazari","year":"2003","unstructured":"Shanazari, K., Chen, K.: An overlapping domain decomposition for the dual reciprocity method. Eng. Anal. Bound. Elem. 27, 945\u2013953 (2003)","journal-title":"Eng. Anal. Bound. Elem."},{"key":"9531_CR21","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1023\/A:1024027723984","volume":"32","author":"K Shanazari","year":"2003","unstructured":"Shanazari, K., Chen, K.: A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method. Numer. Algorithms 32, 275\u2013286 (2003)","journal-title":"Numer. Algorithms"},{"key":"9531_CR22","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1016\/j.enganabound.2009.11.002","volume":"34","author":"K Shanazari","year":"2010","unstructured":"Shanazari, K., Fallahi, M.: A quasi-linear method applied to the method of fundamental solution. Eng. Anal. Bound. Elem. 34, 388\u2013392 (2010)","journal-title":"Eng. Anal. Bound. Elem."},{"key":"9531_CR23","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.enganabound.2011.07.004","volume":"36","author":"K Shanazari","year":"2012","unstructured":"Shanazari, K., Hosami, M.: A two dimensional adaptive nodes technique in irregular regions applied to meshless-type methods. Eng. Anal. Bound. Elem. 36, 161\u2013168 (2012)","journal-title":"Eng. Anal. Bound. Elem."},{"key":"9531_CR24","doi-asserted-by":"crossref","first-page":"1187","DOI":"10.1016\/j.apnum.2008.06.003","volume":"59","author":"K Shanazari","year":"2009","unstructured":"Shanazari, K., Rabie, N.: A three dimensional adaptive nodes technique applied to meshless-type methods. Appl. Numer. Math. 59, 1187\u20131197 (2009)","journal-title":"Appl. Numer. Math."},{"issue":"2","key":"9531_CR25","first-page":"219","volume":"1","author":"O Shishkina","year":"2006","unstructured":"Shishkina, O., Wagner, C.: Adaptive meshes for simulations of turbulent Rayleigh-Benard convection. J. Numer. Anal. Indust. Appl. Math. 1(2), 219\u2013228 (2006)","journal-title":"J. Numer. Anal. Indust. Appl. Math."},{"key":"9531_CR26","volume-title":"Data-dependent grids. Numerical Analysis Report 7\/87","author":"PK Sweby","year":"1987","unstructured":"Sweby, P.K.: Data-dependent grids. Numerical Analysis Report 7\/87, University of Reading, UK (1987)"},{"issue":"6","key":"9531_CR27","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1016\/j.enganabound.2006.01.009","volume":"30","author":"H Wong","year":"2006","unstructured":"Wong, H., Qin, Q.H.: A meshless method for generalized linear or nonlinear Poisson-type problems. Eng. Anal. Bound. Elem. 30(6), 515\u2013521 (2006)","journal-title":"Eng. Anal. Bound. Elem."},{"key":"9531_CR28","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1016\/S0898-1221(01)00306-6","volume":"43","author":"SM Wong","year":"2002","unstructured":"Wong, S.M., Hon, Y.C., Li, T.S.: A meshless multilayer model for a coastal system by radial basis functions. Comput. Math. Appl. 43, 585\u2013605 (2002)","journal-title":"Comput. Math. Appl."},{"issue":"3","key":"9531_CR29","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1137\/0716038","volume":"16","author":"AB White","year":"1979","unstructured":"White, A.B.: On selection of equi-distribution meshes for two-point boundary value problems. SIAM J. Numer. Anal. 16(3), 472\u2013502 (1979)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"9531_CR30","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/0021-9991(66)90001-5","volume":"1","author":"AM Winslow","year":"1967","unstructured":"Winslow, A.M.: Numerical solution of the quasi-linear Poisson\u2019s equation in a non-uniform triangle mesh. J. Comput. Phys. 1(2), 149\u2013172 (1967)","journal-title":"J. Comput. Phys."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-011-9531-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-011-9531-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-011-9531-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,17]],"date-time":"2024-04-17T14:42:12Z","timestamp":1713364932000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-011-9531-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1,12]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,9]]}},"alternative-id":["9531"],"URL":"https:\/\/doi.org\/10.1007\/s11075-011-9531-0","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1,12]]}}}