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MARIO ARLINDO CASARIN JUNIOR

Universidade de Campinas
IMECC
Caixa Postal 6065
13081-970 Campinas - SP
Brasil
e-mail: casarin@ime.unicamp.br

Rua Aimorés, 480, apt C51
Jardim Sta. Genebra
Tel: 019 - 242-1395
Campinas - SP - 13081 - 030

EDUCATION

Ph.D. in Mathematics
Courant Institute of Mathematical Sciences - New York University.
Advisor: Prof. Olof B. Widlund.
Research in Numerical Analysis of Partial Differential Equations,
in particular Domain Decomposition Methods for spectral
and mortar finite elements.
Title of thesis: Schwarz Preconditioners for Spectral and Mortar Finite Element Methods with Applications to Incompressible Fluids.
Degree obtained in May 96.
l: Master in Mathematics
Pontif'icia Universidade Católica do Rio de Janeiro.
Advisor: Prof. Carlos Tomei.
Title of thesis: Wavelets and Multi-Scale Decompositions.
l: B.S. in Mathematics
Pontif'icia Universidade Católica do Rio de Janeiro.

PROFESSIONAL EXPERIENCE

Pontif'icia Universidade Católica do Rio de Janeiro.
Lecturer in Calculus I and Discrete Mathematics.
l: New York University.
Teaching Instructor of Calculus I and III.
l: Universidade de Campinas - UNICAMP.
Assistant Professor of Mathematics.
Lecturer in Calculus and Linear Algebra.

HONORS AND SCHOLARSHIPS

Kurt O. Friedrichs Prize, from Courant Institute, for an 'outstanding thesis', 1996 - 1997
: Research Fellowship from CNPq - Brazil, Aug/08/96 through July/31/98
: Phd Scholarship - CNPq - Brazil - 1992-1996
: Harold Grad Memorial Prize, from Courant Institute, for an 'outstanding performance and promise as a graduate student', 1994 - 1995
: Master's Fellowship - CNPq - Brazil - 1988-1989
: Third Prize in the International Mathematical Olympiad, Finland - 1985.

PUBLICATIONS AND TECHNICAL REPORTS

Schwarz Preconditioners for the Spectral Element Discretization of the Steady Stokes and Navier-Stokes Equations, in preparation.
: A Hierarchical Preconditioner for the Mortar Finite Element Method, with O. B. Widlund. Electronic Transactions on Numerical Analysis (ETNA), 4:75-88 (1996).
: Diagonal Edge Preconditioners in p-version and Spectral Element Methods. Accepted by the SIAM Journal on Scientific Computing on March/12/96; to appear.
: Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization. Accepted by the SIAM Journal on Numerical Analysis on March/20/96; to appear.
: Spaces of Domino Tilings, with N. C. Saldanha, C. Tomei and D. Romualdo. Discrete and Computational Geometry, 14:207-233 (1995).
: Além das Séries de Fourier, with C. Tomei, Matemática Universitária, n. 8, p. 47-63.
: Uma Demonstração Elementar do Teorema da Amizade, with C. Tomei, Matemática Universitária, n. 6, p. 65-69.

CURRENT PROJECTS

Participant on a research group on Multi-Domain, multi-model methods for aerodynamics and aeroacoustics, an NSF-HPCC funded group that includes Profs. David Keyes ODU University- Virginia), Xiao-Chuan Cai (University of Colorado at Boulder), Alex Pothen (ODU University - Virginia), David P. Young (BOEING), Hafiz Atassi (Notre Dame), Olof Widlund (New York University). My interest in the short term within this group is in Domain Decomposition Methods for the Helmholtz equation in two or three dimension, on unbounded domains.
: Part of an effort with Olof Widlund (New York University) and Einar Rønquist of Nektonics, Boston, MA, in improving the comercial version of the spectral element CFD code of Nektonics. We are currently in the experimental phase of the project, which should be concluded until the summer 97.

REFERENCES

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1999-06-22