Edit Profile (opens in new tab) Nochetto, Ricardo Horacio Compute Distance To: Compute Author ID: nochetto.ricardo-h Published as: Nochetto, Ricardo H.; Nochetto, R. H.; Nochetto, Ricardo more...less Homepage: https://www.math.umd.edu/~rhn/ External Links: MGP · dblp Documents Indexed: 190 Publications since 1983 5 Contributions as Editor Co-Authors: 91 Co-Authors with 176 Joint Publications 2,570 Co-Co-Authors all top 5 Co-Authors 19 single-authored 37 Verdi, Claudio 18 Bonito, Andrea 18 Paolini, Maurizio 16 Morin, Pedro 13 Salgado, Abner J. 11 Verani, Marco 9 Siebert, Kunibert G. 8 Canuto, Claudio 8 Schmidt, Alfred 7 Bartels, Sören 7 Otárola, Enrique 7 Walker, Shawn W. 7 Zhang, Wujun 6 Antil, Harbir 6 Borthagaray, Juan Pablo 6 Chen, Long 6 Li, Wenbo 6 Stevenson, Rob P. 6 Veeser, Andreas 5 Bänsch, Eberhard 5 Cascón, José Manuel 5 Gastaldi, Lucia 5 Jiang, Xun 5 Makridakis, Charalambos G. 4 Mekchay, Khamron 4 Pyo, Jae-Hong 3 Akrivis, Georgios D. 3 Chen, Zhiming 3 Doǧan, Günay 3 Girault, Vivette 3 Kyza, Irene 3 Savaré, Giuseppe 3 Scott, Larkin Ridgway 3 Tomas, Ignacio 3 Xu, Jinchao 3 Zhang, Chensong 2 DeVore, Ronald A. 2 Dolzmann, Georg 2 Durán, Ricardo G. 2 Larsson, Stig 2 Ntogkas, Dimitrios 2 Sauter, Stefan A. 2 Sodré, Patrick 2 Venegas, Pablo 2 von Petersdorff, Tobias 2 Wieners, Christian 2 Yang, Shuo 1 Banjai, Lehel 1 Beirão da Veiga, Lourenço 1 Bonito, Rea 1 Chen, Luoping 1 Cockburn, Bernardo 1 Cohen, Albert 1 Dahlke, Stephan 1 Demlow, Alan 1 Diening, Lars 1 Dorfler, Willy 1 Duran, R. 1 Field, Scott E. 1 French, Donald A. 1 Guignard, Diane 1 Herrmann, Frank 1 Hintermüller, Michael 1 Hu, Xiaozhe 1 Kessler, Daniel P. 1 Kreuzer, Christian 1 Kutyniok, Gitta 1 Lakkis, Omar 1 Leykekhman, Dmitriy 1 Liao, Xiaohai 1 Magenes, Enrico 1 Melenk, Jens Markus 1 Moom, Kyoung-Sook 1 Muliana, Anastasia Hanifah 1 Ntogkas, Dimitris 1 Pauletti, M. Sebastian 1 Pauletti, Miguel S. 1 Raisch, Alexander Helmut-Wilhelm 1 Rovida, Sergio 1 Ruggeri, Michele 1 Schwab, Christoph 1 Shapiro, Benjamin 1 Stamm, Benjamin 1 Surowiec, Thomas 1 Tiglio, Manuel 1 Trivisa, Konstantina 1 Vacca, Giuseppe 1 Wahlbin, Lars B. 1 Wang, Junping 1 Weber, Franziska 1 Zheng, Bin all top 5 Serials 29 SIAM Journal on Numerical Analysis 22 Numerische Mathematik 18 Mathematics of Computation 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Computational Physics 5 Foundations of Computational Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 IMA Journal of Numerical Analysis 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Calcolo 3 Interfaces and Free Boundaries 3 Oberwolfach Reports 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Journal of Scientific Computing 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Scientific Computing 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Handbook of Numerical Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Scientific and Statistical Computing 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Japan Journal of Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Matemática Aplicada e Computacional 1 Physics of Fluids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Optimization and Engineering 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Modelling of Natural Phenomena 1 Cuadernos de Matemática y Mecánica 1 Philosophical Transactions A. Royal Society of London 1 Mathematics in Engineering all top 5 Fields 173 Numerical analysis (65-XX) 139 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Classical thermodynamics, heat transfer (80-XX) 14 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 2 Ordinary differential equations (34-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 166 Publications have been cited 3,416 times in 1,932 Documents Cited by ▼ Year ▼ Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. 237 2008 Data oscillation and convergence of adaptive FEM. Zbl 0970.65113Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 197 2000 Convergence of adaptive finite element methods. Zbl 1016.65074Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 161 2002 Theory of adaptive finite element methods: An introduction. Zbl 1190.65176Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 119 2009 A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 119 2015 Convergence of adaptive finite element methods for general second order linear elliptic PDEs. Zbl 1104.65103Mekchay, Khamron; Nochetto, Ricardo H. 94 2005 Residual type a posteriori error estimates for elliptic obstacle problems. Zbl 0943.65075Chen, Zhiming; Nochetto, Ricardo H. 89 2000 A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Zbl 1021.65047Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio 88 2000 Elliptic reconstruction and a posteriori error estimates for parabolic problems. Zbl 1052.65088Makridakis, Charalambos; Nochetto, Ricardo H. 76 2003 Small data oscillation implies the saturation assumption. Zbl 0995.65109Dörfler, Willy; Nochetto, Ricardo H. 66 2002 Local problems on stars: A posteriori error estimators, convergence, and performance. Zbl 1019.65083Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 60 2003 Approximation of degenerate parabolic problems using numerical integration. Zbl 0655.65131Nochetto, Ricardo H.; Verdi, Claudio 58 1988 A PDE approach to space-time fractional parabolic problems. Zbl 1337.26014Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 55 2016 Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method. Zbl 1254.65120Bonito, Andrea; Nochetto, Ricardo H. 52 2010 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 51 2004 A finite element method for surface diffusion: the parametric case. Zbl 1070.65093Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. 48 2005 A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Zbl 1101.65094Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. 48 2006 The gauge-Uzawa finite element method. I: The Navier-Stokes equations. Zbl 1094.76041Nochetto, Ricardo H.; Pyo, Jae-Hong 46 2005 Pointwise a posteriori error control for elliptic obstacle problems. Zbl 1027.65089Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 44 2003 A posteriori error analysis for higher order dissipative methods for evolution problems. Zbl 1104.65091Makridakis, Charalambos; Nochetto, Ricardo H. 43 2006 A posteriori error estimation and adaptivity for degenerate parabolic problems. Zbl 0942.65111Nochetto, R. H.; Schmidt, A.; Verdi, C. 39 2000 Pointwise a posteriori error estimates for elliptic problems on highly graded meshes. Zbl 0920.65063Nochetto, Ricardo H. 37 1995 Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations. Zbl 0673.65060Gastaldi, Lucia; Nochetto, Ricardo H. 36 1989 Primer of adaptive finite element methods. Zbl 1252.65192Nochetto, Ricardo H.; Veeser, Andreas 35 2012 An adaptive Uzawa FEM for the Stokes problem: Convergence without the Inf-sup condition. Zbl 1027.65148Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. 34 2002 Energy error estimates for a linear scheme to approximate nonlinear parabolic problems. Zbl 0635.65123Magenes, E.; Nochetto, R. H.; Verdi, C. 32 1987 Parametric FEM for geometric biomembranes. Zbl 1307.76049Bonito, Andrea; Nochetto, Ricardo H.; Pauletti, M. Sebastian 31 2010 Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. Zbl 1228.65125Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. 30 2011 Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051Girault, V.; Nochetto, R. H.; Scott, R. 30 2005 Dynamics of biomembranes: effect of the bulk fluid. Zbl 1231.92014Bonito, A.; Nochetto, R. H.; Pauletti, M. S. 29 2011 Optimal relaxation parameter for the Uzawa method. Zbl 1065.65130Nochetto, Ricardo H.; Pyo, Jae-Hong 28 2004 Fully localized a posteriori error estimators and barrier sets for contact problems. Zbl 1095.65099Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 28 2005 Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. Zbl 1193.65209Xu, Jinchao; Chen, Long; Nochetto, Ricardo H. 25 2009 Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Zbl 1334.65030Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 25 2016 An adaptive finite element method for two-phase Stefan problems in two space dimensions. II: Implementation and numerical experiments. Zbl 0733.65088Nochetto, R. H.; Paolini, M.; Verdi, C. 24 1991 Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas 24 2006 Discrete total variation flows without regularization. Zbl 1292.65106Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 23 2014 Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 22 2016 Surface diffusion of graphs: variational formulation, error analysis, and simulation. Zbl 1073.65098Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. 22 2004 Discrete gradient flows for shape optimization and applications. Zbl 1173.49307Doǧan, G.; Morin, P.; Nochetto, R. H.; Verani, M. 22 2007 An adaptive finite element method for two-phase Stefan problems in two space dimensions. I: Stability and error estimates. Zbl 0733.65087Nochetto, R. H.; Paolini, M.; Verdi, C. 21 1991 Sharp maximum norm error estimates for finite element approximations of the Stokes problem in 2-D. Zbl 0699.76038Durán, R.; Nochetto, R. H.; Wang, Junping 21 1988 Optimal multilevel methods for graded bisection grids. Zbl 1235.65144Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao 21 2012 A diffuse interface model for electrowetting with moving contact lines. Zbl 1280.35114Nochetto, Ricardo H.; Salgado, Abner J.; Walker, Shawn W. 20 2014 Error estimates for semi-discrete gauge methods for the Navier-Stokes equations. Zbl 1085.76058Nochetto, Ricardo H.; Pyo, Jae-Hong 20 2005 Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Zbl 1188.65108Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. 20 2009 The gauge-Uzawa finite element method. II: The Boussinesq equations. Zbl 1320.76071Nochetto, Ricardo H.; Pyo, Jae-Hong 20 2006 A posteriori error analysis for a class of integral equations and variational inequalities. Zbl 1202.65085Nochetto, Ricardo H.; von Petersdorff, Tobias; Zhang, Chen-Song 20 2010 A diffuse interface model for two-phase ferrofluid flows. Zbl 1439.76088Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio 20 2016 Optimal \(L^{\infty}\)-error estimates for nonconforming and mixed finite element methods of lowest order. Zbl 0597.65080Gastaldi, Lucia; Nochetto, Ricardo 19 1987 Error estimates for two-phase Stefan problems in several space variables. I: Linear boundary conditions. Zbl 0606.65084Nochetto, Ricardo H. 19 1985 Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form. Zbl 1397.65286Nochetto, Ricardo H.; Zhang, Wujun 19 2018 A note on the approximation of free boundaries by finite element methods. Zbl 0596.65092Nochetto, Ricardo H. 18 1986 A class of non-degenerate two-phase Stefan problems in several space variables. Zbl 0624.35085Nochetto, Ricardo H. 18 1987 A posteriori error analysis for parabolic variational inequalities. Zbl 1142.65053Moom, Kyoung-Sook; Nochetto, Ricardo H.; von Petersdorff, Tobias; Zhang, Chen-Song 18 2007 Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087Girault, V.; Nochetto, R. H.; Scott, L. R. 18 2015 Sharp \(L^{\infty}\)-error estimates for semilinear elliptic problems with free boundaries. Zbl 0663.65125Nochetto, Ricardo H. 18 1988 The equations of ferrohydrodynamics: modeling and numerical methods. Zbl 1416.76347Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio 17 2016 Error estimates for multidimensional singular parabolic problems. Zbl 0657.65132Nochetto, Ricardo H. 17 1987 Convergence rates of AFEM with \(H^{-1}\) data. Zbl 1416.65440Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H. 17 2012 Convergence past singularities for a fully discrete approximation of curvature-driven interfaces. Zbl 0876.35053Nochetto, Ricardo H.; Verdi, Claudio 16 1997 A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 15 2015 Positivity preserving finite element approximation. Zbl 1001.41011Nochetto, Ricardo H.; Wahlbin, Lars B. 15 2002 A safeguarded dual weighted residual method. Zbl 1168.65070Nochetto, Ricardo H.; Veeser, Andreas; Verani, Marco 15 2009 Local a posteriori error estimates and adaptive control of pollution effects. Zbl 1037.65109Liao, Xiaohai; Nochetto, Ricardo H. 14 2003 The combined use of a nonlinear Chernoff formula with a regularization procedure for two-phase Stefan problems. Zbl 0629.35116Nochetto, R. H.; Verdi, C. 14 1987 Design and convergence of AFEM in \(H\)(div). Zbl 1144.65064Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G. 14 2007 Two-scale method for the Monge-Ampère equation: convergence to the viscosity solution. Zbl 1405.65154Nochetto, R. H.; Ntogkas, D.; Zhang, W. 14 2019 Quasioptimal cardinality of AFEM driven by nonresidual estimators. Zbl 1242.65237Cascón, J. Manuel; Nochetto, Ricardo H. 14 2012 Tensor FEM for spectral fractional diffusion. Zbl 1429.65272Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph 14 2019 Adaptive finite element methods for elliptic problems with discontinuous coefficients. Zbl 1285.65078Bonito, Andrea; Devore, Ronald A.; Nochetto, Ricardo H. 13 2013 An efficient linear scheme to approximate parabolic free boundary problems: Error estimates and implementation. Zbl 0657.65131Nochetto, Ricardo H.; Verdi, Claudio 13 1988 AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property. Zbl 1215.65177Mekchay, Khamron; Morin, Pedro; Nochetto, Ricardo H. 13 2011 Bilayer plates: model reduction, \(\gamma\)-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H. 12 2017 Error control of nonlinear evolution equations. Zbl 0944.65077Nochetto, Ricardo H.; Savaré, Giuseppe; Verdi, Claudio 12 1998 A posteriori error analysis for the mean curvature flow of graphs. Zbl 1085.65088Lakkis, Omar; Nochetto, Ricardo H. 12 2005 Adaptive finite element method for shape optimization. Zbl 1259.49046Morin, Pedro; Nochetto, Ricardo H.; Pauletti, Miguel S.; Verani, Marco 12 2012 Time-discrete higher-order ALE formulations: stability. Zbl 1267.65114Bonito, Rea; Kyza, Irene; Nochetto, Ricardo H. 12 2013 Removing the saturation assumption in a posteriori error analysis. Zbl 0878.65088Nochetto, Ricardo H. 11 1994 Error estimates for two-phase Stefan problems in several space variables. II: Nonlinear flux conditions. Zbl 0606.65085Nochetto, Ricardo H. 11 1985 A finite element method for nematic liquid crystals with variable degree of orientation. Zbl 1453.82090Nochetto, Ricardo H.; Walker, Shawn W.; Zhang, Wujun 11 2017 A total variation diminishing interpolation operator and applications. Zbl 1321.65017Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 11 2015 Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. Zbl 1407.65263Nochetto, Ricardo H.; Zhang, Wujun 10 2019 Two-step greedy algorithm for reduced order quadratures. Zbl 1292.65024Antil, Harbir; Field, Scott E.; Herrmann, Frank; Nochetto, Ricardo H.; Tiglio, Manuel 10 2013 Electrowetting with contact line pinning: computational modeling and comparisons with experiments. Zbl 1183.76554Walker, Shawn W.; Shapiro, Benjamin; Nochetto, Ricardo H. 10 2009 Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications. Zbl 1098.65092Nochetto, Ricardo H.; Savaré, Giuseppe 10 2006 Convergence and optimality of \({\mathbf {hp}}\)-AFEM. Zbl 1364.65241Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco 9 2017 Mixed finite element method for electrowetting on dielectric with contact line pinning. Zbl 1189.78056Walker, Shawn W.; Bonito, Andrea; Nochetto, Ricardo H. 9 2010 Geometrically consistent mesh modification. Zbl 1220.65169Bonito, A.; Nochetto, R. H.; Pauletti, M. S. 9 2010 The micropolar Navier-Stokes equations: a priori error analysis. Zbl 1288.76019Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio 9 2014 Preconditioning a class of fourth order problems by operator splitting. Zbl 1241.65031Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. 9 2011 First variation of the general curvature-dependent surface energy. Zbl 1270.49042Doğan, Günay; Nochetto, Ricardo H. 9 2012 Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098Bartels, Sören; Diening, Lars; Nochetto, Ricardo H. 9 2018 High-order AFEM for the Laplace-Beltrami operator: convergence rates. Zbl 1359.65247Bonito, Andrea; Cascón, J. Manuel; Mekchay, Khamron; Morin, Pedro; Nochetto, Ricardo H. 8 2016 A characteristic Galerkin method with adaptive error control for the continuous casting problem. Zbl 0960.76045Chen, Zhiming; Nochetto, Ricardo H.; Schmidt, Alfred 8 2000 Optimal control of a free boundary problem: analysis with second-order sufficient conditions. Zbl 1311.49008Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick 8 2014 On \(p\)-robust saturation for \(hp\)-AFEM. Zbl 1373.65082Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco 8 2017 Optimal interface error estimates for the mean curvature flow. Zbl 0886.35079Nochetto, R. H.; Paolini, M.; Verdi, C. 8 1994 Combined effect of explicit time-stepping and quadrature for curvature driven flows. Zbl 0859.65066Nochetto, Ricardo H.; Verdi, Claudio 8 1996 Finite element methods for surface diffusion. Zbl 1039.65067Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. 8 2003 LDG approximation of large deformations of prestrained plates. Zbl 07516803Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo 3 2022 Two-scale methods for convex envelopes. Zbl 1486.65226Li, Wenbo; Nochetto, Ricardo H. 1 2022 Equilibrium analysis of an immersed rigid leaflet by the virtual element method. Zbl 1490.74027Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G. 5 2021 Local energy estimates for the fractional Laplacian. Zbl 1486.65240Borthagaray, Juan Pablo; Leykekhman, Dmitriy; Nochetto, Ricardo H. 4 2021 DG approach to large bending plate deformations with isometry constraint. Zbl 1473.65287Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitrios 3 2021 Quantitative stability and error estimates for optimal transport plans. Zbl 07528295Li, Wenbo; Nochetto, Ricardo H. 1 2021 A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals. Zbl 1446.65160Borthagaray, Juan Pablo; Nochetto, Ricardo H.; Walker, Shawn W. 5 2020 Linear and nonlinear fractional elliptic problems. Zbl 1481.65220Borthagaray, Juan Pablo; Li, Wenbo; Nochetto, Ricardo H. 4 2020 Finite element methods for the Laplace-Beltrami operator. Zbl 1455.35187Bonito, Andrea; Demlow, Alan; Nochetto, Ricardo H. 4 2020 Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint. Zbl 07508404Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitris 1 2020 Two-scale method for the Monge-Ampère equation: convergence to the viscosity solution. Zbl 1405.65154Nochetto, R. H.; Ntogkas, D.; Zhang, W. 14 2019 Tensor FEM for spectral fractional diffusion. Zbl 1429.65272Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph 14 2019 Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. Zbl 1407.65263Nochetto, Ricardo H.; Zhang, Wujun 10 2019 Finite element discretizations of nonlocal minimal graphs: Convergence. Zbl 1447.65129Borthagaray, Juan Pablo; Li, Wenbo; Nochetto, Ricardo H. 7 2019 Two-scale method for the Monge-Ampère equation: pointwise error estimates. Zbl 1466.65198Nochetto, R. H.; Ntogkas, D.; Zhang, W. 6 2019 A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. Zbl 1426.65187Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco 1 2019 On the dynamics of ferrofluids: global weak solutions to the Rosensweig system and rigorous convergence to equilibrium. Zbl 1428.35393Nochetto, Ricardo H.; Trivisa, Konstantina; Weber, Franziska 1 2019 Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form. Zbl 1397.65286Nochetto, Ricardo H.; Zhang, Wujun 19 2018 Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098Bartels, Sören; Diening, Lars; Nochetto, Ricardo H. 9 2018 Optimizing the Kelvin force in a moving target subdomain. Zbl 1379.78021Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo 8 2018 Modeling and simulation of thermally actuated bilayer plates. Zbl 1380.74016Bartels, Sören; Bonito, Andrea; Muliana, Anastasia H.; Nochetto, Ricardo H. 7 2018 The Ericksen model of liquid crystals with colloidal and electric effects. Zbl 1375.82119Nochetto, Ricardo H.; Walker, Shawn W.; Zhang, Wujun 7 2018 Optimal pointwise error estimates for two-scale methods for the Monge-Ampère equation. Zbl 1397.65278Li, Wenbo; Nochetto, Ricardo H. 6 2018 Controlling the Kelvin force: basic strategies and applications to magnetic drug targeting. Zbl 07465687Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo 1 2018 Bilayer plates: model reduction, \(\gamma\)-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H. 12 2017 A finite element method for nematic liquid crystals with variable degree of orientation. Zbl 1453.82090Nochetto, Ricardo H.; Walker, Shawn W.; Zhang, Wujun 11 2017 Convergence and optimality of \({\mathbf {hp}}\)-AFEM. Zbl 1364.65241Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco 9 2017 On \(p\)-robust saturation for \(hp\)-AFEM. Zbl 1373.65082Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco 8 2017 Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M. 7 2017 A PDE approach to space-time fractional parabolic problems. Zbl 1337.26014Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 55 2016 Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Zbl 1334.65030Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 25 2016 Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 22 2016 A diffuse interface model for two-phase ferrofluid flows. Zbl 1439.76088Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio 20 2016 The equations of ferrohydrodynamics: modeling and numerical methods. Zbl 1416.76347Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio 17 2016 High-order AFEM for the Laplace-Beltrami operator: convergence rates. Zbl 1359.65247Bonito, Andrea; Cascón, J. Manuel; Mekchay, Khamron; Morin, Pedro; Nochetto, Ricardo H. 8 2016 Contraction property of adaptive hybridizable discontinuous Galerkin methods. Zbl 1332.65164Cockburn, Bernardo; Nochetto, Ricardo H.; Zhang, Wujun 5 2016 Fast multilevel solvers for a class of discrete fourth order parabolic problems. Zbl 1410.65386Zheng, Bin; Chen, Luoping; Hu, Xiaozhe; Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao 2 2016 Adaptive spectral Galerkin methods with dynamic marking. Zbl 1457.65231Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco 2 2016 A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 119 2015 Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087Girault, V.; Nochetto, R. H.; Scott, L. R. 18 2015 A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 15 2015 A total variation diminishing interpolation operator and applications. Zbl 1321.65017Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 11 2015 Convergence rates for the classical, thin and fractional elliptic obstacle problems. Zbl 1353.65065Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. 5 2015 Optimal control of a free boundary problem with surface tension effects: a priori error analysis. Zbl 1343.49043Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick 3 2015 High-order adaptive Galerkin methods. Zbl 1352.65476Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob; Verani, Marco 2 2015 Discrete total variation flows without regularization. Zbl 1292.65106Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 23 2014 A diffuse interface model for electrowetting with moving contact lines. Zbl 1280.35114Nochetto, Ricardo H.; Salgado, Abner J.; Walker, Shawn W. 20 2014 The micropolar Navier-Stokes equations: a priori error analysis. Zbl 1288.76019Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio 9 2014 Optimal control of a free boundary problem: analysis with second-order sufficient conditions. Zbl 1311.49008Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick 8 2014 Adaptive Fourier-Galerkin methods. Zbl 1297.65149Canuto, C.; Nochetto, R. H.; Verani, M. 5 2014 Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case. Zbl 1350.65118Canuto, C.; Nochetto, R. H.; Verani, M. 4 2014 Adaptive finite element methods for elliptic problems with discontinuous coefficients. Zbl 1285.65078Bonito, Andrea; Devore, Ronald A.; Nochetto, Ricardo H. 13 2013 Time-discrete higher-order ALE formulations: stability. Zbl 1267.65114Bonito, Rea; Kyza, Irene; Nochetto, Ricardo H. 12 2013 Two-step greedy algorithm for reduced order quadratures. Zbl 1292.65024Antil, Harbir; Field, Scott E.; Herrmann, Frank; Nochetto, Ricardo H.; Tiglio, Manuel 10 2013 AFEM for geometric PDE: the Laplace-Beltrami operator. Zbl 1350.65117Bonito, Andrea; Cascón, J. Manuel; Morin, Pedro; Nochetto, Ricardo H. 7 2013 Time-discrete higher order ALE formulations: a priori error analysis. Zbl 1278.65137Bonito, Andrea; Kyza, Irene; Nochetto, Ricardo H. 7 2013 Primer of adaptive finite element methods. Zbl 1252.65192Nochetto, Ricardo H.; Veeser, Andreas 35 2012 Optimal multilevel methods for graded bisection grids. Zbl 1235.65144Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao 21 2012 Convergence rates of AFEM with \(H^{-1}\) data. Zbl 1416.65440Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H. 17 2012 Quasioptimal cardinality of AFEM driven by nonresidual estimators. Zbl 1242.65237Cascón, J. Manuel; Nochetto, Ricardo H. 14 2012 Adaptive finite element method for shape optimization. Zbl 1259.49046Morin, Pedro; Nochetto, Ricardo H.; Pauletti, Miguel S.; Verani, Marco 12 2012 First variation of the general curvature-dependent surface energy. Zbl 1270.49042Doğan, Günay; Nochetto, Ricardo H. 9 2012 Finite element methods for director fields on flexible surfaces. Zbl 1300.35060Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.; Raisch, Alexander 4 2012 Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. Zbl 1228.65125Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. 30 2011 Dynamics of biomembranes: effect of the bulk fluid. Zbl 1231.92014Bonito, A.; Nochetto, R. H.; Pauletti, M. S. 29 2011 AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property. Zbl 1215.65177Mekchay, Khamron; Morin, Pedro; Nochetto, Ricardo H. 13 2011 Preconditioning a class of fourth order problems by operator splitting. Zbl 1241.65031Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. 9 2011 Multigrid methods for elliptic obstacle problems on 2D bisection grids. Zbl 1217.65119Chen, Long; Nochetto, Ricardo H.; Zhang, Chen-Song 1 2011 Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method. Zbl 1254.65120Bonito, Andrea; Nochetto, Ricardo H. 52 2010 Parametric FEM for geometric biomembranes. Zbl 1307.76049Bonito, Andrea; Nochetto, Ricardo H.; Pauletti, M. Sebastian 31 2010 A posteriori error analysis for a class of integral equations and variational inequalities. Zbl 1202.65085Nochetto, Ricardo H.; von Petersdorff, Tobias; Zhang, Chen-Song 20 2010 Mixed finite element method for electrowetting on dielectric with contact line pinning. Zbl 1189.78056Walker, Shawn W.; Bonito, Andrea; Nochetto, Ricardo H. 9 2010 Geometrically consistent mesh modification. Zbl 1220.65169Bonito, A.; Nochetto, R. H.; Pauletti, M. S. 9 2010 A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. Zbl 1197.65133Nochetto, Ricardo H.; Walker, Shawn W. 7 2010 A finite element scheme for the evolution of orientational order in fluid membranes. Zbl 1423.76210Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H. 4 2010 Adaptive SQP method for shape optimization. Zbl 1216.65077Morin, P.; Nochetto, R. H.; Pauletti, M. S.; Verani, M. 4 2010 Theory of adaptive finite element methods: An introduction. Zbl 1190.65176Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 119 2009 Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. Zbl 1193.65209Xu, Jinchao; Chen, Long; Nochetto, Ricardo H. 25 2009 Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Zbl 1188.65108Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. 20 2009 A safeguarded dual weighted residual method. Zbl 1168.65070Nochetto, Ricardo H.; Veeser, Andreas; Verani, Marco 15 2009 Electrowetting with contact line pinning: computational modeling and comparisons with experiments. Zbl 1183.76554Walker, Shawn W.; Shapiro, Benjamin; Nochetto, Ricardo H. 10 2009 Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. 237 2008 A variational shape optimization approach for image segmentation with a Mumford-Shah functional. Zbl 1195.49036Doğan, Günay; Morin, Pedro; Nochetto, Ricardo H. 6 2008 Discrete gradient flows for shape optimization and applications. Zbl 1173.49307Doǧan, G.; Morin, P.; Nochetto, R. H.; Verani, M. 22 2007 A posteriori error analysis for parabolic variational inequalities. Zbl 1142.65053Moom, Kyoung-Sook; Nochetto, Ricardo H.; von Petersdorff, Tobias; Zhang, Chen-Song 18 2007 Design and convergence of AFEM in \(H\)(div). Zbl 1144.65064Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G. 14 2007 A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Zbl 1101.65094Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. 48 2006 A posteriori error analysis for higher order dissipative methods for evolution problems. Zbl 1104.65091Makridakis, Charalambos; Nochetto, Ricardo H. 43 2006 Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas 24 2006 The gauge-Uzawa finite element method. II: The Boussinesq equations. Zbl 1320.76071Nochetto, Ricardo H.; Pyo, Jae-Hong 20 2006 Nonlinear evolution governed by accretive operators in Banach spaces: error control and applications. Zbl 1098.65092Nochetto, Ricardo H.; Savaré, Giuseppe 10 2006 Convergence of adaptive finite element methods for general second order linear elliptic PDEs. Zbl 1104.65103Mekchay, Khamron; Nochetto, Ricardo H. 94 2005 A finite element method for surface diffusion: the parametric case. Zbl 1070.65093Bänsch, Eberhard; Morin, Pedro; Nochetto, Ricardo H. 48 2005 The gauge-Uzawa finite element method. I: The Navier-Stokes equations. Zbl 1094.76041Nochetto, Ricardo H.; Pyo, Jae-Hong 46 2005 Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051Girault, V.; Nochetto, R. H.; Scott, R. 30 2005 Fully localized a posteriori error estimators and barrier sets for contact problems. Zbl 1095.65099Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 28 2005 Error estimates for semi-discrete gauge methods for the Navier-Stokes equations. Zbl 1085.76058Nochetto, Ricardo H.; Pyo, Jae-Hong 20 2005 A posteriori error analysis for the mean curvature flow of graphs. Zbl 1085.65088Lakkis, Omar; Nochetto, Ricardo H. 12 2005 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 51 2004 Optimal relaxation parameter for the Uzawa method. Zbl 1065.65130Nochetto, Ricardo H.; Pyo, Jae-Hong 28 2004 ...and 66 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,241 Authors 89 Nochetto, Ricardo Horacio 47 Praetorius, Dirk 40 Carstensen, Carsten 34 Otárola, Enrique 32 Bartels, Sören 32 Salgado, Abner J. 25 Vohralík, Martin 24 Yang, Xiaofeng 20 Bonito, Andrea 20 Cockburn, Bernardo 19 Antil, Harbir 19 Feischl, Michael 18 Verani, Marco 18 Xu, Jinchao 17 Führer, Thomas 17 Makridakis, Charalambos G. 17 Schwab, Christoph 17 Walker, Shawn W. 16 Shen, Jie 16 Yang, Yidu 15 Demlow, Alan 15 Karkulik, Michael 13 Georgoulis, Emmanuil H. 13 Guzmán, Johnny 13 Huang, Qiumei 13 Melenk, Jens Markus 13 Nürnberg, Robert 13 Pop, Iuliu Sorin 13 Radu, Florin Adrian 13 Sinha, Rajen Kumar 13 Verdi, Claudio 13 Voigt, Axel 13 Wihler, Thomas Pascal 12 Barrett, John William 12 Gudi, Thirupathi 12 Veeser, Andreas 12 Yan, Ningning 11 Allendes, Alejandro 11 Bi, Hai 11 Canuto, Claudio 11 Garcke, Harald 11 Stevenson, Rob P. 10 Bacuta, Constantin 10 Brenner, Susanne Cecelia 10 Hoppe, Ronald H. W. 10 Li, Buyang 10 Morin, Pedro 10 Pyo, Jae-Hong 10 Si, Zhiyong 10 Zhang, Wujun 9 Beirão da Veiga, Lourenço 9 Borthagaray, Juan Pablo 9 Chen, Long 9 Chung, Tsz Shun Eric 9 Díez, Pedro 9 Gallistl, Dietmar 9 Gantner, Gregor 9 Gong, Wei 9 Hinze, Michael 9 Schroder, Andreas 9 Warma, Mahamadi 9 Wohlmuth, Barbara I. 9 Xu, Yifeng 8 Abdulla, Ugur G. 8 Ainsworth, Mark 8 Becker, Roland 8 Chen, Yanping 8 Ern, Alexandre 8 Feng, Xiaobing 8 Hintermüller, Michael 8 Huang, Jianguo 8 Nguyen Huy Tuan 8 Reddy, Gujji Murali Mohan 8 Xie, Hehu 8 Zhao, Quan 8 Zou, Jun 7 Antonietti, Paola Francesca 7 Buffa, Annalisa 7 Cangiani, Andrea 7 Chen, Zhiming 7 Droniou, Jérôme 7 Gedicke, Joscha 7 Haberl, Alexander 7 He, Yinnian 7 Hu, Xiaozhe 7 Huang, Pengzhan 7 Kopteva, Natalia Viktorovna 7 Kreuzer, Christian 7 Li, Yuwen 7 Liu, Huipo 7 Mao, Shipeng 7 Nataraj, Neela 7 Neilan, Michael 7 Ovall, Jeffrey S. 7 Perotto, Simona 7 Picasso, Marco 7 Porwal, Kamana 7 Rankin, Richard 7 Repin, Sergeĭ Igorevich 7 Shi, Zhongci ...and 2,141 more Authors all top 5 Cited in 229 Serials 143 Numerische Mathematik 125 Mathematics of Computation 114 Journal of Scientific Computing 112 Computer Methods in Applied Mechanics and Engineering 100 SIAM Journal on Numerical Analysis 98 Journal of Computational and Applied Mathematics 94 Journal of Computational Physics 86 Computers & Mathematics with Applications 61 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 56 SIAM Journal on Scientific Computing 55 Applied Numerical Mathematics 39 Computational Methods in Applied Mathematics 36 M\(^3\)AS. 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