[Research Interests]

[Publications]

[Teaching]

Versión en Castellano

Pedro Morin

Departamento de Matemática Facultad de Ingeniería Química Universidad Nacional del Litoral Instituto de Matemática Aplicada 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

Versión en Castellano

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

• Convergence of adaptive finite element methods for eigenvalue problems (with Eduardo M. Garau and Carlos Zuppa). Submitted.
• Convergence rates for adaptive finite elements (with Fernando D. Gaspoz). Submitted.
• A variational shape optimization approach for image segmentation with the Mumford-Shah functional (with Günay Dogan and Ricardo H. Nochetto). Submitted.
• 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.
• A basic convergence result for conforming adaptive finite element methods (with Kunibert G. Siebert and Andreas Veeser). Accepted for publication in Mathematical Models and Methods in Applied Sciences (M3AS). October 2007.
• Approximating optimization problems over convex functions (with Nestor E. Aguilera). Submitted
• 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.
• 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.
• 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)
• 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.
• Convergence of Adaptive Finite Element Methods (with Ricardo H. Nochetto and Kunibert G. Siebert). SIAM Review, 44 (2002) 631--658
• 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.
• 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
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.

Teaching:

• Cálculo II (LMA) (2nd semester 2007)
• Cálculo I (LMA) (1st semester 2007)
• Cálculo II (LMA) (2nd semester 2006)
• Cálculo I (LMA) (1st semester 2006)
• Cálculo II (LMA) (2nd semester 2005)
• Cálculo I (LMA) (1st semester 2005)
• Matemática D (2nd semester 2003)
• Ecuaciones Diferenciales Ordinarias (1st semester 2003)
• Introducción al Cálculo Científico (2nd semester 2002)
• Matemática D (2nd semester 2002)
• Matemática D (1st semester 2002)
• Cálculo Numérico II (2nd semester 2001)
• Matemática D (2nd semester 2001)
• Geometría de Curvas y Superficies (1st semester 2001)