Versión en Castellano

Pedro Morin

Instituto de Matemática Aplicada del Litoral
Universidad Nacional del Litoral
CONICET
ARGENTINA

Mailing Address:

Pedro Morin
IMAL
Güemes 3450
S3000GLN Santa Fe
ARGENTINA

Phone: +54 (342) 455-9175 ext. 2166
Fax: +54 (342) 455-0944
Email: pmorin@santafe-conicet.gov.ar

Research Interests

Numerical solution of PDE's
A posteriori error estimation and adaptive algorithms using Finite Element methods.
Parameter identification in systems governed by PDE's

Publications

Quasi-optimal convergence rate of an AFEM for quasi-linear problems of monotone type (with E.M. Garau and Carlos Zuppa). Numerical Mathematics: Theory, Methods and Applications. Accepted. May 2011. [PDF]
Approximation classes for adaptive higher order finite element approximation (with F.D. Gaspoz). Submitted. February 2011. [PDF]
Convergence of an adaptive Kacanov FEM for quasi-linear problems (with E.M. Garau and Carlos Zuppa). Applied Numerical Mathematics, 61 (2011) 512--529. [PDF]
On convex regression estimators (with N.E. Aguilera and Liliana Forzani). Submitted. December 2010. [PDF]
AFEM for the Laplace-Beltrami Operator on Graphs: Design and Conditional Contraction Property (with K. Mekchay and Ricardo H. Nochetto). Mathematics of Computation, 80 (2011) 625--648. [PDF]
Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems (with Eduardo M. Garau). IMA Journal of Numerical Analysis. Accepted. December 2009. [Article's page in IMANUM]
Preconditioning a Class of Fourth Order Problems by Operator Splitting (with Eberhard Bänsch and Ricardo H. Nochetto). Numerische Mathematik DOI 10.1007/s00211-010-0333-4. Vol. 118, No. 2, 197-228. [PDF]
On convex functions and the finite element method (with Nestor E. Aguilera). SIAM Journal on Numerical Analysis, Vol. 47, No. 4 (2009), 3139--3157. [PDF]
Convergence of adaptive finite element methods for eigenvalue problems (with Eduardo M. Garau and Carlos Zuppa). Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 19, No. 5 (2009), 721--747. [PDF]
Convergence rates for adaptive finite elements (with Fernando D. Gaspoz). IMA Journal of Numerical Analysis 29 (2009), no. 4, 917--936. (doi: 10.1093/imanum/drn039). [Article's page in IMANUM]
A variational shape optimization approach for image segmentation with a Mumford-Shah functional (with Günay Dogan and Ricardo H. Nochetto). SIAM Journal on Scientific Computing 30 (2008), no. 6, 3028--3049. [PDF]
Convergence of finite elements adapted for weak norms (with Kunibert G. Siebert and Andreas Veeser). In "Applied and Industrial Matematics in Italy II", Selected Contributions from the 8th SIMAI Conference, Vincenzo Cutello, Giorgio Fotia, Luigia Puccio, eds. Series on Advances in Mathematics for Applied Sciences - Vol. 75, 468--479. World Scientific, 2007. [PDF]
A basic convergence result for conforming adaptive finite elements (with Kunibert G. Siebert and Andreas Veeser). Mathematical Models and Methods in Applied Sciences (M3AS) 18 (2008) 707--737. [PDF]
Approximating optimization problems over convex functions (with Nestor E. Aguilera). Numerische Mathematik 111 (2008), 1-34; DOI: 10.1007/s00211-008-0176-4. [PDF]
Discrete Gradient Flows for Shape Optimization and Applications (with Gunay Dogan, Ricardo H. Nochetto, and Marco Verani). Computer Methods in Applied Mechanics and Engineering 196 (2007), 3898--3914. [PDF]
A Finite Element Method for Surface Diffusion: the Parametric Case (with Eberhard Bänsch and Ricardo H. Nochetto), Journal of Computational Physics 203 (2005) 321--343. [PDF]
Finite Element Methods for Surface Diffusion (with Eberhard Bänsch and Ricardo H. Nochetto), In: P. Colli, C. Verdi, A. Visintin (eds.), Free Boundary Problems. International Series of Num. Math., vol. 147, 53--63, Birkhäuser (2003) [PDF]
Surface Diffusion of Graphs: Variational Formulation, Error Analysis and Simulation (with Eberhard Bänsch and Ricardo H. Nochetto), SIAM Journal on Numerical Analysis, Volume 42, Number 2 (2004), 773--799. [PDF]
Convergence of Adaptive Finite Element Methods (with Ricardo H. Nochetto and Kunibert G. Siebert). SIAM Review, 44 (2002) 631--658 [PDF]
An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the inf-sup Condition (with Eberhard Bänsch and Ricardo H. Nochetto) SIAM Journal on Numerical Analysis, Volume 40, Number 4 (2002), 1207-1229. [PDF]
Local Problems on Stars: A Posteriori Error Estimators, Convergence, and Performance (with Ricardo H. Nochetto and Kunibert G. Siebert). Mathematics of Computation 72 (2003), 1067-1097. [PDF]
Data Oscillation and Convergence of Adaptive FEM (with Ricardo H. Nochetto and Kunibert G. Siebert) SIAM Journal on Numerical Analysis, Volume 38, Number 2 (2000), 466-488. [PDF]
Parameter Identification for Nonlinear Abstract Cauchy Problems using Quasilinearization. (with Terry L. Herdman and Rubén D. Spies) Journal on Optimization Theory and its Applications, 113 (2002), no. 2,227--250. [PDF]
Parameter Differentiability of the Solution of a Nonlinear Abstract Cauchy Problem. (with John A. Burns and Rubén D. Spies) Journal of Mathematical Analysis and Applications, 252 (2000), No. 1, 18--31. [PDF]
A Quasilinearization Approach for Parameter Identification in a Nonlinear Model of Shape Memory Alloys. (with Rubén D. Spies) Inverse Problems 14 (1998), No. 6, 1551--1563. [PDF]
Modal Approximations for the Dynamics of Shape Memory Alloys Under External Thermomechanical Actions. (with Rubén D. Spies) Latin American Applied Research 29 (1999), No. 2, 151--159. [PDF]
Convergent Spectral Approximations for the Thermomechanical Processes in Shape Memory Alloys. (with Terry L. Herdman and Rubén D. Spies) Nonlinear Analysis: Theory, Methods, and Applications 39 (2000), vol. 1, 11--32. [PDF]
Identifiability of the Landau-Ginzburg Potential in a Mathematical Model of Shape Memory Alloys. (with Rubén D. Spies) Journal of Mathematical Analysis and Applications 212 (1997), No. 1, 292--315. [PDF]
Parameter Continuity of the Solutions of a Mathematical Model of Thermoviscoelasticity. (with Rubén D. Spies) Revista de la Unión Matemática Argentina 40 (1996), 111--126. [PDF]

Teaching

Matemática Aplicada (1st semester 2012)
Ecuaciones en Derivadas Parciales (1st semester 2012)
Cálculo Numérico 2 (LMA) (2nd semester 2011)
Taller de resolución de problemas con computadora (Taller optativo LMA) (2nd semester 2011)
Matemática Aplicada (1st semester 2011)
Ecuaciones en Derivadas Parciales (1st semester 2011)
Matemática Aplicada (1st semester 2010)
Ecuaciones en Derivadas Parciales (1st semester 2010)
Cálculo Numérico I (LMA) (1st semester 2008)
Cálculo II (LMA) (2nd semester 2007)
Cálculo I (LMA) (1st semester 2007)
Matemática D (2nd semester 2003)
Ecuaciones Diferenciales Ordinarias (1st semester 2003)
Introducción al Cálculo Científico (2nd semester 2002)