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T-7 Research Highlights
2009
Mimetic Finite Differences for Modeling Stokes Flow on Polygonal Meshes
2007
High-order Mimetic Finite Difference Methods on Arbitrary Meshes
A Multilevel Multiscale Mimetic Method for Two-Phase Flows in Porous Media
Predicting the Small Scales of Alpha Models for Turbulence
Feature Painting from 2-D Feature Grids and 3-D OSO Models onto 2-D Cartesian and Cylindrical Grids
An Efficient, Numerically Stable, and Scalable Parallel Tridiagonal Solver
Code Assessment for Adaptive Mesh Refinement Simulations
A Comparison of Multilevel Preconditioners for Solving Multimaterial Equilibrium Radiation Diffusion Problems on Locally Refined Grids
Multi-Material Interface Reconstruction from Moment Data
Order-Independent Multi-Material Interface Reconstruction
Understanding the Small Scales in Rotating Stratified Flow
New Monotone Schemes for Diffusion Problems on Unstructured Meshes
A Fast and Flexible Algorithm for Total Variation Regularization
2006
A Fast Algorithm for Disk Self-gravity Interactions in Proto-planet Simulations
A Cell Based Model of Tumor Induced Angiogenesis
Exact Reconstructions from Surprisingly Little Data
Multi-Material Interface Reconstruction using Particles and Power Diagrams
Effect of Electrostatic Interaction on Deposition of Colloids on Partially Covered Surfaces
Molecular Dynamics Simulations of Peptide Nucleic Acid at Lipid Bilayer
Monte Carlo Computer Simulations of Irreversible Adsorption of Colloid Particles at Solid-Liquid Interfaces
Efficient Smoothing of 3D Unstructured Grids
The Transmissibility of the Spanish Flu Pandemic in Geneva, Switzerland
A Novel Investigation of Rotating and Stratified Flows
Linear and Nonlinear Front Instabilities in Bistable Systems
2005
Numerical Differentiation of Noisy Data
Verification for Adaptive Mesh Refinement Code
Hybrid Multiscale Method for Coupling Atomistic and Continuum Models
Node Reconnection Algorithm for Mimetic Finite Difference Discretization of Elliptic Equations
Denoising Images with Poisson Noise Statistics
Numerical Study of the Two-Dimensional Navier-Stokes-Alpha Model of Turbulence
Modeling the Spread of Malaria
Patch Dynamics for Multiscale Problems
Monte Carlo Computer Simulations of Irreversible Adsorption of Colloid Particles at Solid-Liquid Interfaces
Molecular Dynamics Simulations of Peptide Nucleic Acid in Lipid Bilayers
Multilevel Upscaling of Heterogeneous Media
Multigrid Preconditioning in Fully-Implicit Evolution of the Ocean
NetworkX: Python Software for the Analysis of Networks
New Discretization Methodology on Polyhedral Meshes
An Efficient Linearity and Bound Preserving Remapping) for Meshes with Changing Connectivity
The Force/Work Differencing of Exceptional Points in Lagrangian Hydrodynamics
Spatial Patterns of Infection: The 2001 Foot-and-Mouth Epidemic in Uruguay
Rare Events in Turbulence Might not be so Rare
The Repair Paradigm: New Algorithms and Applications to Compressible Flow
Competing Physical Processes in Turbulent Fluid Dynamics
A Simple Algorithm for Monge-Kantorovich Optimal Transport
Subsurface Imaging with Support Vector Machines
Interface Reconstruction in Multi-fluid Flow Simulations
Abel Inversion using Total-Variation Regularization
A Family of Mimetic Finite Difference Methods on Polygonal and Polyhedral Meshes
Detecting Nuclear Materials from Cosmic-Ray Muon Scattering
2004
Convergence of Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
Flux Calculations in the Heat Transfer Component of TELLURIDE
A Mortar Mimetic Finite Difference Method on Non-Matching Grids
A Memory Efficient Parallel Tridiagonal Solver
A Subcell Remapping Method on Staggered Polygonal Grids for Arbitrary-Lagrangian-Eulerian Methods
Bloch-Front Turbulence in a Periodically Forced Belousov-Zhabotinsky Reaction
Differential Equations on a Network
Rezoning of Triangular Meshes in ALE Simulations by Node Reconnection
Quantifying Deformations in 2D Flowing Foams
Inelastic Collisions between Solitons in Optical Fibers
Numerical Methods for Simulation of Heating through Electromagnetic Induction
Multilevel Accelerated Grid Optimization
Superconvergence of Velocity in Mimetic Finite Difference Methods on Quadrilaterals
Universally Embedded Spherical Symmetry in Turbulent Flows
CORE: A Software Component for Conservative Remapping
Aggregate Formation in Myxobacteria
Parallel, Scalable, and Robust Multigrid on Structured Grids
Classification Modulo Invariance: Tangent Approximations and Face Recognition
Parallel AMR Code for Compressible MHD or HD Equations
Error Minimization Based Rezone Strategy for ALE Methods
Mimetic Discretizations of Diffusion Equation on Polygonal Meshes
Computer Arithmetic for Probability Distribution Variables
An Arbitrary-Lagrangian- Eulerian Code for General Polygonal Mesh: ALE INC.
2003
Light Propagation through Biological Tissue
Noise Sensitivity of Sparse Signal Representations
Curvature Estimation for Unstructured Triangulations of Surfaces
Multiphase Patterns in Forced Reaction-Diffusion Systems
Parameter Estimation via Risk-Based Optimization
Extended Filter Bank Options for the JPEG2000 Image Coding Standard
Quality Improvement of 3D Meshes in ALE simulation of Gas Dynamics
Quality Improvement of Surface Meshes using Local Parameterization