Mathematical Modeling and Analysis

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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