Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M. Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. (English) Zbl 1512.65258 SIAM J. Numer. Anal. 61, No. 2, 457-494 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N15 65N12 65N85 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 61, No. 2, 457--494 (2023; Zbl 1512.65258) Full Text: DOI arXiv
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. (English) Zbl 1426.65187 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 987-1003 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 65N30 65N50 65N55 65N15 35J05 PDFBibTeX XMLCite \textit{C. Canuto} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 987--1003 (2019; Zbl 1426.65187) Full Text: DOI arXiv
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco On \(p\)-robust saturation for \(hp\)-AFEM. (English) Zbl 1373.65082 Comput. Math. Appl. 73, No. 9, 2004-2022 (2017). MSC: 65N30 65N15 65N50 35J05 PDFBibTeX XMLCite \textit{C. Canuto} et al., Comput. Math. Appl. 73, No. 9, 2004--2022 (2017; Zbl 1373.65082) Full Text: DOI arXiv
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco Convergence and optimality of \({\mathbf {hp}}\)-AFEM. (English) Zbl 1364.65241 Numer. Math. 135, No. 4, 1073-1119 (2017). MSC: 65N30 65N12 65N50 PDFBibTeX XMLCite \textit{C. Canuto} et al., Numer. Math. 135, No. 4, 1073--1119 (2017; Zbl 1364.65241) Full Text: DOI arXiv
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco Adaptive spectral Galerkin methods with dynamic marking. (English) Zbl 1457.65231 SIAM J. Numer. Anal. 54, No. 6, 3193-3213 (2016). MSC: 65N35 65N30 65N50 65N12 PDFBibTeX XMLCite \textit{C. Canuto} et al., SIAM J. Numer. Anal. 54, No. 6, 3193--3213 (2016; Zbl 1457.65231) Full Text: DOI arXiv
Nochetto, Ricardo H.; Otarola, Enrique; Salgado, Abner J. A PDE Approach to Numerical Fractional Diffusion. arXiv:1508.04382 Preprint, arXiv:1508.04382 [math.NA] (2015). MSC: 26A33 65N12 65N30 65N50 65N55 65F10 65M15 65M60 35J70 65R10 65J08 BibTeX Cite \textit{R. H. Nochetto} et al., ``A PDE Approach to Numerical Fractional Diffusion'', Preprint, arXiv:1508.04382 [math.NA] (2015) Full Text: arXiv OA License
Bonito, Andrea; Devore, Ronald A.; Nochetto, Ricardo H. Adaptive finite element methods for elliptic problems with discontinuous coefficients. (English) Zbl 1285.65078 SIAM J. Numer. Anal. 51, No. 6, 3106-3134 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N15 65N50 65Y20 35J25 35R05 PDFBibTeX XMLCite \textit{A. Bonito} et al., SIAM J. Numer. Anal. 51, No. 6, 3106--3134 (2013; Zbl 1285.65078) Full Text: DOI arXiv
Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H. Convergence rates of AFEM with \(H^{-1}\) data. (English) Zbl 1416.65440 Found. Comput. Math. 12, No. 5, 671-718 (2012). MSC: 65N30 65N15 41A25 65N50 65Y20 PDFBibTeX XMLCite \textit{A. Cohen} et al., Found. Comput. Math. 12, No. 5, 671--718 (2012; Zbl 1416.65440) Full Text: DOI
Nochetto, Ricardo H. Why adaptive finite element methods outperform classical ones. (English) Zbl 1228.65226 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2805-2833 (2011). MSC: 65N30 65N15 65N50 35J25 65N12 PDFBibTeX XMLCite \textit{R. H. Nochetto}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2805--2833 (2011; Zbl 1228.65226) Full Text: Link
Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. (English) Zbl 1228.65125 Numer. Math. 118, No. 3, 429-456 (2011). Reviewer: Fernando Casas (Castellon) MSC: 65L60 65L06 65M20 65M15 65M50 34G10 35K20 65L70 65M60 65M70 65J08 PDFBibTeX XMLCite \textit{G. Akrivis} et al., Numer. Math. 118, No. 3, 429--456 (2011; Zbl 1228.65125) Full Text: DOI
Mekchay, Khamron; Morin, Pedro; Nochetto, Ricardo H. AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property. (English) Zbl 1215.65177 Math. Comput. 80, No. 274, 625-648 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 65N15 65N50 35J05 58J05 PDFBibTeX XMLCite \textit{K. Mekchay} et al., Math. Comput. 80, No. 274, 625--648 (2011; Zbl 1215.65177) Full Text: DOI
Bonito, A.; Nochetto, R. H.; Pauletti, M. S. Geometrically consistent mesh modification. (English) Zbl 1220.65169 SIAM J. Numer. Anal. 48, No. 5, 1877-1899 (2010). Reviewer: Othmar Koch (Baden) MSC: 65N50 65N30 35R35 PDFBibTeX XMLCite \textit{A. Bonito} et al., SIAM J. Numer. Anal. 48, No. 5, 1877--1899 (2010; Zbl 1220.65169) Full Text: DOI
Bonito, Andrea; Nochetto, Ricardo H. Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method. (English) Zbl 1254.65120 SIAM J. Numer. Anal. 48, No. 2, 734-771 (2010). Reviewer: Yaşar Sözen (Istanbul) MSC: 65N12 65N30 65N50 35J25 65N15 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{R. H. Nochetto}, SIAM J. Numer. Anal. 48, No. 2, 734--771 (2010; Zbl 1254.65120) Full Text: DOI
Nochetto, Ricardo H.; Walker, Shawn W. A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. (English) Zbl 1197.65133 J. Comput. Phys. 229, No. 18, 6243-6269 (2010). MSC: 65M50 49Q10 65K10 PDFBibTeX XMLCite \textit{R. H. Nochetto} and \textit{S. W. Walker}, J. Comput. Phys. 229, No. 18, 6243--6269 (2010; Zbl 1197.65133) Full Text: DOI
Mekchay, Khamron; Morin, Pedro; Nochetto, Ricardo H. AFEM for the Laplace-Beltrami operator on graphs: design and conditional contraction property. (English) Zbl 1227.65116 Cuad. Mat. Mec., 19 p. (2009). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{K. Mekchay} et al., Cuad. Mat. Mec., 19 p. (2009; Zbl 1227.65116)
Xu, Jinchao; Chen, Long; Nochetto, Ricardo H. Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. (English) Zbl 1193.65209 DeVore, Ronald (ed.) et al., Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-03412-1/hbk; 978-3-642-03413-8/ebook). 599-659 (2009). MSC: 65N55 65F10 65F08 35J05 65N12 65N30 65N50 PDFBibTeX XMLCite \textit{J. Xu} et al., in: Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer. 599--659 (2009; Zbl 1193.65209) Full Text: DOI
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas Theory of adaptive finite element methods: An introduction. (English) Zbl 1190.65176 DeVore, Ronald (ed.) et al., Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-03412-1/hbk; 978-3-642-03413-8/ebook). 409-542 (2009). MSC: 65N30 65-02 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., in: Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer. 409--542 (2009; Zbl 1190.65176) Full Text: DOI
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. Quasi-optimal convergence rate for an adaptive finite element method. (English) Zbl 1176.65122 SIAM J. Numer. Anal. 46, No. 5, 2524-2550 (2008). MSC: 65N12 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{J. M. Cascon} et al., SIAM J. Numer. Anal. 46, No. 5, 2524--2550 (2008; Zbl 1176.65122) Full Text: DOI
Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G. Design and convergence of AFEM in \(H\)(div). (English) Zbl 1144.65064 Math. Models Methods Appl. Sci. 17, No. 11, 1849-1881 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 65N12 65N15 65N30 35J25 65N50 35R05 PDFBibTeX XMLCite \textit{J. M. Cascon} et al., Math. Models Methods Appl. Sci. 17, No. 11, 1849--1881 (2007; Zbl 1144.65064) Full Text: DOI
Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. A posteriori error estimates for the Crank-Nicolson method for parabolic equations. (English) Zbl 1101.65094 Math. Comput. 75, No. 254, 511-531 (2006). Reviewer: Jiří Vaníček (Praha) MSC: 65M15 65M50 65M60 35K55 35K15 65M06 PDFBibTeX XMLCite \textit{G. Akrivis} et al., Math. Comput. 75, No. 254, 511--531 (2006; Zbl 1101.65094) Full Text: DOI
Mekchay, Khamron; Nochetto, Ricardo H. Convergence of adaptive finite element methods for general second order linear elliptic PDEs. (English) Zbl 1104.65103 SIAM J. Numer. Anal. 43, No. 5, 1803-1827 (2005). MSC: 65N12 65N15 65N30 65N50 65Y20 PDFBibTeX XMLCite \textit{K. Mekchay} and \textit{R. H. Nochetto}, SIAM J. Numer. Anal. 43, No. 5, 1803--1827 (2005; Zbl 1104.65103) Full Text: DOI
Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. A finite element method for surface diffusion: the parametric case. (English) Zbl 1070.65093 J. Comput. Phys. 203, No. 1, 321-343 (2005). Reviewer: Jiři Horak (Köln) MSC: 65M60 35K55 65M12 65M15 65M50 PDFBibTeX XMLCite \textit{E. Bänsch} et al., J. Comput. Phys. 203, No. 1, 321--343 (2005; Zbl 1070.65093) Full Text: DOI Link
Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. (English) Zbl 1075.65117 M2AN, Math. Model. Numer. Anal. 38, No. 1, 129-142 (2004). MSC: 65M15 65M50 65M60 35K55 PDFBibTeX XMLCite \textit{D. Kessler} et al., M2AN, Math. Model. Numer. Anal. 38, No. 1, 129--142 (2004; Zbl 1075.65117) Full Text: DOI Numdam EuDML
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway Stability of the finite element Stokes projection in \(W^{1,\infty}\). (English. Abridged French version) Zbl 1049.65118 C. R., Math., Acad. Sci. Paris 338, No. 12, 957-962 (2004). MSC: 65N12 65N30 65N50 35J25 35Q30 PDFBibTeX XMLCite \textit{V. Girault} et al., C. R., Math., Acad. Sci. Paris 338, No. 12, 957--962 (2004; Zbl 1049.65118) Full Text: DOI
Liao, Xiaohai; Nochetto, Ricardo H. Local a posteriori error estimates and adaptive control of pollution effects. (English) Zbl 1037.65109 Numer. Methods Partial Differ. Equations 19, No. 4, 421-442 (2003). Reviewer: J.C. Coyle (West Long Branch) MSC: 65N15 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{X. Liao} and \textit{R. H. Nochetto}, Numer. Methods Partial Differ. Equations 19, No. 4, 421--442 (2003; Zbl 1037.65109) Full Text: DOI
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. Local problems on stars: A posteriori error estimators, convergence, and performance. (English) Zbl 1019.65083 Math. Comput. 72, No. 243, 1067-1097 (2003). Reviewer: Ll.G.Chambers (Bangor) MSC: 65N15 65N12 65N30 65N50 35J05 65Y20 PDFBibTeX XMLCite \textit{P. Morin} et al., Math. Comput. 72, No. 243, 1067--1097 (2003; Zbl 1019.65083) Full Text: DOI
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. Convergence of adaptive finite element methods. (English) Zbl 1016.65074 SIAM Rev. 44, No. 4, 631-658 (2002). Reviewer: Ll.G.Chambers (Bangor) MSC: 65N12 65N50 35Q30 65Y20 65N15 35J25 65N30 PDFBibTeX XMLCite \textit{P. Morin} et al., SIAM Rev. 44, No. 4, 631--658 (2002; Zbl 1016.65074) Full Text: DOI
Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. An adaptive Uzawa FEM for the Stokes problem: Convergence without the Inf-sup condition. (English) Zbl 1027.65148 SIAM J. Numer. Anal. 40, No. 4, 1207-1229 (2002). MSC: 65N30 65N15 65N12 35Q30 76D07 65N50 65Y20 PDFBibTeX XMLCite \textit{E. Bänsch} et al., SIAM J. Numer. Anal. 40, No. 4, 1207--1229 (2002; Zbl 1027.65148) Full Text: DOI
Dörfler, Willy; Nochetto, Ricardo H. Small data oscillation implies the saturation assumption. (English) Zbl 0995.65109 Numer. Math. 91, No. 1, 1-12 (2002). Reviewer: Oscar Lopez-Pouso (Santiago de Compostela) MSC: 65N15 65N50 35J05 65N30 PDFBibTeX XMLCite \textit{W. Dörfler} and \textit{R. H. Nochetto}, Numer. Math. 91, No. 1, 1--12 (2002; Zbl 0995.65109) Full Text: DOI
Chen, Zhiming; Nochetto, Ricardo H.; Schmidt, Alfred Error control and adaptivity for a phase relaxation model. (English) Zbl 0965.65114 M2AN, Math. Model. Numer. Anal. 34, No. 4, 775-797 (2000). Reviewer: Georgiev Lyuben Vulkov (Rousse) MSC: 65M15 65M12 65M60 35R35 65M06 35K15 80A22 65Y20 65M50 PDFBibTeX XMLCite \textit{Z. Chen} et al., M2AN, Math. Model. Numer. Anal. 34, No. 4, 775--797 (2000; Zbl 0965.65114) Full Text: DOI EuDML
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. Data oscillation and convergence of adaptive FEM. (English) Zbl 0970.65113 SIAM J. Numer. Anal. 38, No. 2, 466-488 (2000). Reviewer: Dietrich Braess (Bochum) MSC: 65N12 65N30 65N50 65Y20 PDFBibTeX XMLCite \textit{P. Morin} et al., SIAM J. Numer. Anal. 38, No. 2, 466--488 (2000; Zbl 0970.65113) Full Text: DOI
Nochetto, R. H.; Schmidt, A.; Verdi, C. A posteriori error estimation and adaptivity for degenerate parabolic problems. (English) Zbl 0942.65111 Math. Comput. 69, No. 229, 1-24 (2000). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65M60 65M50 80A22 35K65 35R35 35K05 65M15 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Math. Comput. 69, No. 229, 1--24 (2000; Zbl 0942.65111) Full Text: DOI
Nochetto, R. H.; Schmidt, A.; Verdi, C. Adaptive solution of phase change problems over unstructured tetrahedral meshes. (English) Zbl 0939.65112 Bern, Marshall W. (ed.) et al., Grid generation and adaptive algorithms. Proceedings of a workshop, integral part of 1996-97 IMA program, Minnesota Univ., Minneapolis, MN, USA, April 28 - May 2, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 113, 163-181 (1999). MSC: 65M60 65M50 80A22 65M15 35K15 35R35 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., IMA Vol. Math. Appl. 113, 163--181 (1999; Zbl 0939.65112)
Xun, Jiang; Nochetto, Ricardo H.; Verdi, Claudio A \(P^1-P^1\) finite element method for a phase relaxation model. II: Adaptively refined meshes. (English) Zbl 0934.65105 SIAM J. Numer. Anal. 36, No. 3, 974-999 (1998). MSC: 65M60 65M50 65M15 35K15 35R35 PDFBibTeX XMLCite \textit{J. Xun} et al., SIAM J. Numer. Anal. 36, No. 3, 974--999 (1998; Zbl 0934.65105) Full Text: DOI
Jiang, Xun; Nochetto, Ricardo H. A \(P^1-P^1\) finite element method for a phase relaxation model. I: Quasi-uniform mesh. (English) Zbl 0972.65067 SIAM J. Numer. Anal. 35, No. 3, 1176-1190 (1998). MSC: 65M60 80A22 80M10 35R35 65M15 65M50 35K15 PDFBibTeX XMLCite \textit{X. Jiang} and \textit{R. H. Nochetto}, SIAM J. Numer. Anal. 35, No. 3, 1176--1190 (1998; Zbl 0972.65067) Full Text: DOI
Nochetto, Ricardo H.; Schmidt, Alfred; Verdi, Claudio Adapting meshes and time-steps for phase change problems. (English) Zbl 0910.65106 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 8, No. 4, 273-292 (1997). Reviewer: S.Jiang (Beijing) MSC: 65Z05 35R35 35K65 65M50 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 8, No. 4, 273--292 (1997; Zbl 0910.65106) Full Text: EuDML
Nochetto, R. H.; Paolini, M.; Verdi, C. A dynamic mesh algorithm for curvature dependent evolving interfaces. (English) Zbl 0851.65067 J. Comput. Phys. 123, No. 2, 296-310 (1996). Reviewer: P.Matus (Minsk) MSC: 65M50 65M60 65M06 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., J. Comput. Phys. 123, No. 2, 296--310 (1996; Zbl 0851.65067) Full Text: DOI
Nochetto, Ricardo H. Pointwise a posteriori error estimates for elliptic problems on highly graded meshes. (English) Zbl 0920.65063 Math. Comput. 64, No. 209, 1-22 (1995). MSC: 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{R. H. Nochetto}, Math. Comput. 64, No. 209, 1--22 (1995; Zbl 0920.65063) Full Text: DOI
Nochetto, Ricardo H. Geometric mortion of interfaces. (English) Zbl 0797.65074 Lions, Jacques-Louis (ed.) et al., Boundary value problems for partial differential equations and applications. Dedicated to Enrico Magenes on the occasion of his 70th birthday. Paris: Masson. Res. Notes Appl. Math. 29, 403-408 (1993). Reviewer: J.Lipinski MSC: 65M60 65M50 65M12 65M15 35K57 PDFBibTeX XMLCite \textit{R. H. Nochetto}, Res. Notes Appl. Math. 29, 403--408 (1993; Zbl 0797.65074)
Nochetto, R. H.; Paolini, M.; Verdi, C. Efficient mesh adaptation for parabolic FBPs. (English) Zbl 0797.65071 Chadam, John M. (ed.) et al., Free boundary problems involving solids. Proceedings of the international colloquium ”Free boundary problems: theory and applications”, held in Montreal, Canada, June 13 - June 22, 1990. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 281, 183-189 (1993). Reviewer: S.Gocheva-Ilieva (Plovdiv) MSC: 65M50 65M60 35K15 80A22 35R35 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Pitman Res. Notes Math. Ser. 281, 183--189 (1993; Zbl 0797.65071)
Nochetto, R. H.; Paolini, M.; Verdi, C. Basic principles of mesh adaptation for parabolic FBPs. (English) Zbl 0797.65070 Chadam, John M. (ed.) et al., Free boundary problems involving solids. Proceedings of the international colloquium ”Free boundary problems: theory and applications”, held in Montreal, Canada, June 13 - June 22, 1990. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 281, 177-182 (1993). Reviewer: S.Gocheva-Ilieva (Plovdiv) MSC: 65M50 65M60 35K15 80A22 35R35 65M12 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Pitman Res. Notes Math. Ser. 281, 177--182 (1993; Zbl 0797.65070)
Nochetto, R. H.; Paolini, M.; Verdi, C. Towards a unified approach for the adaptive solution of evolution phase changes. (English) Zbl 0786.65110 Friedman, Avner (ed.) et al., Variational and free boundary problems. Proceedings of a workshop which was an integral part of the 1990-91 IMA program on “Phase transitions and free boundaries”, Minneapolis, MN (USA). New York: Springer-Verlag. IMA Vol. Math. Appl. 53, 171-193 (1993). MSC: 65Z05 65M15 65M12 65M50 65M60 35R35 35K05 80A22 35Q72 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., IMA Vol. Math. Appl. 53, 171--193 (1993; Zbl 0786.65110)
Nochetto, R. H.; Paolini, M.; Verdi, C. Design and efficient implementation of an adaptive FEM for parabolic FBPs. (English) Zbl 0733.65090 Numerical methods for free boundary problems, Proc. Conf., Jyväskylä/Finl. 1990, ISNM 99, 325-335 (1991). Reviewer: H.K.Verma (Ludhiana) MSC: 65Z05 65M60 65M50 80A22 35R35 35K15 PDFBibTeX XML
Nochetto, R. H. Finite element methods for parabolic free boundary problems. (English) Zbl 0733.65089 Advances in numerical analysis. Vol. I: Nonlinear partial differential equations and dynamical systems, Proc. 4th Summer Sch., Lancaster/UK 1990, 34-95 (1991). Reviewer: E.Krause (Aachen) MSC: 65Z05 65M60 65M12 35K15 35R35 80A22 65M15 65M50 PDFBibTeX XML
Nochetto, R. H.; Paolini, M.; Verdi, C. An adaptive finite element method for two-phase Stefan problems in two space dimensions. II: Implementation and numerical experiments. (English) Zbl 0733.65088 SIAM J. Sci. Stat. Comput. 12, No. 5, 1207-1244 (1991). Reviewer: E.Krause (Aachen) MSC: 65Z05 65M60 65M50 35K15 35R35 80A22 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., SIAM J. Sci. Stat. Comput. 12, No. 5, 1207--1244 (1991; Zbl 0733.65088) Full Text: DOI
Nochetto, R. H.; Paolini, M.; Verdi, C. An adaptive finite element method for two-phase Stefan problems in two space dimensions. I: Stability and error estimates. (English) Zbl 0733.65087 Math. Comput. 57, No. 195, 73-108 (1991); Supplement S1-S11 (1991). Reviewer: E.Krause (Aachen) MSC: 65Z05 65M60 65M12 65M15 35K15 35R35 65M50 80A22 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Math. Comput. 57, No. 195, 73--108 (1991; Zbl 0733.65087) Full Text: DOI
Nochetto, R. H.; Paolini, M.; Verdi, C. Selfadaptive mesh modification for parabolic FBPs: Theory and computation. (English) Zbl 0716.65112 Free boundary value problems, Proc. Conf., Oberwolfach/FRG 1989, Int. Ser. Numer. Math. 95, 181-206 (1990). Reviewer: K.-H.Hoffmann MSC: 65Z05 65N50 65N30 35R35 80A22 35K05 PDFBibTeX XML
Nochetto, R. H.; Paolini, M.; Verdi, C. Quasi-optimal mesh adaptation for two-phase Stefan problems in 2D. (English) Zbl 0709.65108 Pubbl., Ist. Anal. Numer. Cons. Naz. Ric., Pavia 730, 313-326 (1989). Reviewer: Meng-Zhao Qin MSC: 65Z05 65N50 65N30 80A22 35R35 35K05 PDFBibTeX XML
Nochetto, R. H.; Paolini, M.; Verdi, C. Local mesh refinements for two-phase Stefan problems in two space variables. (English) Zbl 0688.65071 Mathematical models for phase change problems, Proc. Eur. Workshop, Óbidos/Port. 1988, ISNM, Int. Ser. Numer. Math. 88, 261-286 (1989). Reviewer: D.R.Westbrook MSC: 65Z05 65N50 65N30 35R35 35K05 65N15 PDFBibTeX XML
Durán, R.; Nochetto, R. H.; Wang, Junping Sharp maximum norm error estimates for finite element approximations of the Stokes problem in 2-D. (English) Zbl 0699.76038 Math. Comput. 51, No. 184, 491-506 (1988). MSC: 76D07 65N30 65N15 65N50 65B05 PDFBibTeX XMLCite \textit{R. Durán} et al., Math. Comput. 51, No. 184, 491--506 (1988; Zbl 0699.76038) Full Text: DOI Link