Mailing Address:
Univ. of CA - Davis
Mathematics Dept.
One Shields Ave
Davis, CA 95616
Email:
BertoMartinez [at]math.ucdavis.edu
Welcome,
My name is Roberto Martinez. I am an Applied Mathematics graduate student
at the University of California, Davis.
My interests are in Numerical Analysis and Visualization. I am working in the Institute for Data Analysis
and Visualization (IDAV) at UC Davis. My advisor is Ken Joy, Director of IDAV and Professor in
the Department of Computer Science. My Master's Thesis was on Material Interface Reconstruction (MIR).
I am continuing my work in MIR for my PhD work also at UC Davis.
I completed my undergraduate studies at Loyola Marymount University in Los Angeles, California. I graduated from LMU in
May 2005 with dual Bachelor of Science degrees in Applied Mathematics and Computer Science.
Research:
My research area is a combination of mathematics and computer science. The problem I am conserned with is Material
Interface Reconstruction (MIR). The goal of the problem is to approximate the interface seperating materials within
a given space. More specifically my research is in regards to volume-of-fluid (VOF) methods as an approach to
solving MIR problems.
Volume-of-fluid methods partition the problem domain into a grid. For each cell in the grid the volume fractions of
the materials are given. The material fraction of a given material within a cell is defined as the percentage of the
cell which is occupied by the given material. In an n-material problem each cell has an associated n-tuple where the
ith entry is the percentage of material i present in the given cell. The interface reconstruction is then obtained
by using these volume fractions.
VOF methods naturally lend themselves to conservation of mass of each material and do not require previous state knowledge
to make changes in global topology of the front interface.
R. Martinez. A Survey of Volume-of-Fluid Methods for Material Boundary Reconstruction. Masters, University of California - Davis, —2009—.
Education:
University of California, Davis - Present
Davis, California
PhD Student - Applied Mathematics
University of California, Davis - 2009
Davis, California
M.S. - Applied Mathematics
Loyola Marymount University - 2005
Los Angeles, California
B.S. - Applied Mathematics
B.S. - Computer Science
Sherman Oaks Center for Enriched Studies - 2001
Reseda, California
High School Diploma
Bassett Street Elementary - 1993
Van Nuys, California
No Degree :-(
Academic Links
University of California, Davis
University Of California, Davis - Mathematics Department
University Of California, Davis - Institute for Data Analysis and Visualization
SIAM Student Chapter at UC Davis
Loyola Marymount University
Loyola Marymount University - Mathematics Department
Loyola Marymount University - Computer Science Department
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