Research:
My research area is a combination of mathematics and computer science. The problem I am concerned with is Material Interface Reconstruction (MIR). The goal of the problem is to approximate the interface separating 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 work on a domain which is partitioned 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 and only these volume fractions as information.
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 interface.
R. Martinez. A Survey of Volume-of-Fluid Methods for Material Boundary Reconstruction. Masters, University of California - Davis, —2010—.
Education:
University of California, Davis - Present
Davis, California
Ph.D. - Applied Mathematics
University of California, Davis - 2010
Davis, California
M.S. - Applied Mathematics
Loyola Marymount University - 2005
Los Angeles, California
B.S. - Applied Mathematics
B.S. - Computer Science
Academic Links:
University of California, Davis
University of California, Davis
University Of California, Davis - Mathematics Department
University Of California, Davis - Mathematics Department
University Of California, Davis - Institute for Data Analysis and Visualization
University Of California, Davis - Institute for Data Analysis and Visualization
SIAM Student Chapter at UC Davis
SIAM Student Chapter at UC Davis
Loyola Marymount University
Loyola Marymount University
Loyola Marymount University - Mathematics Department
Loyola Marymount University - Mathematics Department
Loyola Marymount University - Computer Science Department
Loyola Marymount University - Computer Science Department
Fun Links:
Deviant Art
Deviant Art is an immense resource for both artists and art lovers. Whether you are an artist and want to contribute your work or just want to find your next great wallpaper, Deviant Art is the place visit. The site is very well organized and includes sections such as abstract, photographic, noir, avatar, and wallpaper art.
CSS Zen Garden
If you are interested in learning how to use CSS or just want to take a look at what can be accomplished through the use of CSS, CSS Zen Garden the place to go.
Open Source Web Design
OSWD is a large source for web templates. You can create a great looking web page without going through the trouble of learning all the details of html or cssby simply editing an existing template. You can also use this site an inspiration guide for nifty tricks or design ideas if you are already coding up your own web page.
FontSpace
A community of font designers and font addicts. Plenty of free typefaces that can be downloaded for graphic design, scrapbooking, or documents.
W3Schools Online Web Tutorials
One of the largest web developer sites on the net. The site contains an abundant number of tutorials, examples, and references regarding HTML, CSS, XML, Javascript, ASP, PHP, SQL, and more.