World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
54
Citations
10701
World Ranking
844
National Ranking
410

Engineering and Technology

D-Index
54
Citations
10695
World Ranking
3203
National Ranking
950

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - SIAM Fellow For contributions to the study of free boundary problems and phase transitions.

Overview

Ricardo H. Nochetto is affiliated with the University of Maryland, College Park in the United States. Their research spans multiple fields, including engineering, mathematics, and computer science. Within these broad disciplines, their work focuses particularly on computational mechanics, computational theory and mathematics, applied mathematics, biomedical engineering, and mechanical engineering.

The main research topics explored by Ricardo H. Nochetto include:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Advanced Materials and Mechanics
  • Elasticity and Material Modeling
  • Numerical methods in engineering
  • Liquid Crystal Research Advancements

Their recent academic articles cover a range of subjects within numerical analysis and computational mathematics. Notable papers include:

  • "Adaptive finite element methods," 2024, published in Acta Numerica
  • "Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains," 2022, Journal of Functional Analysis
  • "Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property," 2023, SIAM Journal on Numerical Analysis
  • "Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint," 2020, Journal of Computational Physics
  • "Quantitative stability and error estimates for optimal transport plans," 2020, IMA Journal of Numerical Analysis

Ricardo H. Nochetto frequently collaborates with several researchers, including Juan Pablo Borthagaray, Andrea Bonito, Lucas Bouck, Claudio Canuto, and Shuo Yang.

Their work is often published in venues that specialize in numerical and applied mathematics as well as computational sciences. The prominent publication forums for their research include:

  • arXiv (Cornell University)
  • SIAM Journal on Numerical Analysis
  • IMA Journal of Numerical Analysis
  • Mathematical Models and Methods in Applied Sciences
  • Journal of Computational Physics

Ricardo H. Nochetto has been recognized by professional organizations through awards such as:

  • Fellow of the American Mathematical Society, 2013
  • SIAM Fellow, 2011, for contributions to the study of free boundary problems and phase transitions

Best Publications

  • Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

    J. Manuel Cascon;Christian Kreuzer;Ricardo H. Nochetto;Kunibert G. Siebert

  • Data Oscillation and Convergence of Adaptive FEM

    Pedro Morin;Ricardo H. Nochetto;Kunibert G. Siebert

  • Convergence of Adaptive Finite Element Methods

    Pedro Morin;Ricardo H. Nochetto;Kunibert G. Siebert

  • Theory of adaptive finite element methods: An introduction

    Ricardo H. Nochetto;Kunibert G. Siebert;Andreas Veeser

  • A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis

    Ricardo H. Nochetto;Enrique Otárola;Abner J. Salgado

  • Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs

    Khamron Mekchay;Ricardo H. Nochetto

  • Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems

    Charalambos Makridakis;Ricardo H. Nochetto

  • Residual type a posteriori error estimates for elliptic obstacle problems

    Zhiming Chen;Ricardo H. Nochetto

  • Approximation of Degenerate Parabolic Problems Using Numerical Integration

    Ricardo H. Nochetto;Claudio Verdi

  • A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations †

    Ricardo H. Nochetto;Giuseppe Savaré;Claudio Verdi

  • Local problems on stars: a posteriori error estimators, convergence, and performance

    Pedro Morin;Ricardo H. Nochetto;Kunibert G. Siebert

  • Small data oscillation implies the saturation assumption

    Willy Dörfler;Ricardo H. Nochetto

  • A finite element method for surface diffusion: the parametric case

    Eberhard Bänsch;Pedro Morin;Ricardo H. Nochetto

  • A posteriori error estimates for the Crank–Nicolson method for parabolic equations

    Georgios Akrivis;Charalambos G. Makridakis;Ricardo H. Nochetto

  • Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method

    Andrea Bonito;Ricardo H. Nochetto

  • A posteriori error control for the Allen–Cahn problem: circumventing Gronwall's inequality

    Daniel Kessler;Ricardo H. Nochetto;Alfred Schmidt

  • A PDE Approach to Space-Time Fractional Parabolic Problems

    Ricardo H. Nochetto;Enrique Otárola;Abner J. Salgado

  • A posteriori error analysis for higher order dissipative methods for evolution problems

    Charalambos Makridakis;Ricardo H. Nochetto

  • A posteriori error estimation and adaptivity for degenerate parabolic problems

    R. H. Nochetto;A. Schmidt;C. Verdi

  • Pointwise a posteriori error control for elliptic obstacle problems

    Ricardo H. Nochetto;Kunibert G. Siebert;Andreas Veeser

  • CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR GENERAL SECOND ORDER LINEAR ELLIPTIC PDE

    Khamron Mekchay;Ricardo H. Nochetto

Frequent Co-Authors

Rob Stevenson
Rob Stevenson University of Amsterdam
Jinchao Xu
Jinchao Xu Pennsylvania State University
Giuseppe Savaré
Giuseppe Savaré Bocconi University
Ronald A. DeVore
Ronald A. DeVore Texas A&M University
Ricardo G. Durán
Ricardo G. Durán University of Buenos Aires
Stig Larsson
Stig Larsson Chalmers University of Technology
Lars Diening
Lars Diening Bielefeld University
Alfio Quarteroni
Alfio Quarteroni Polytechnic University of Milan

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