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SIAMSC
2008
192views more  SIAMSC 2008»
13 years 11 months ago
Surface Mesh Smoothing, Regularization, and Feature Detection
We describe a hybrid algorithm that is designed to reconstruct a piecewise smooth surface mesh from noisy input. While denoising, our method simultaneously regularizes triangle me...
Hui Huang, Uri M. Ascher
SIAMSC
2008
111views more  SIAMSC 2008»
13 years 11 months ago
An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations
With the rise in popularity of compatible finite element, finite difference and finite volume discretizations for the time domain eddy current equations, there has been a correspon...
Pavel B. Bochev, Jonathan J. Hu, Christopher M. Si...
SIAMSC
2008
125views more  SIAMSC 2008»
13 years 11 months ago
Hybrid Simulations of Reaction-Diffusion Systems in Porous Media
Abstract. Hybrid or multiphysics algorithms provide an efficient computational tool for combining micro- and macroscale descriptions of physical phenomena. Their use becomes impera...
Alexandre M. Tartakovsky, Daniel M. Tartakovsky, T...
SIAMSC
2008
191views more  SIAMSC 2008»
13 years 11 months ago
ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions
Abstract. We present a new derivative-free algorithm, ORBIT, for unconstrained local optimization of computationally expensive functions. A trust-region framework using interpolati...
Stefan M. Wild, Rommel G. Regis, Christine A. Shoe...
SIAMSC
2008
198views more  SIAMSC 2008»
13 years 11 months ago
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
A model-constrained adaptive sampling methodology is proposed for reduction of large-scale systems with high-dimensional parametric input spaces. Our model reduction method uses a ...
T. Bui-Thanh, Karen Willcox, Omar Ghattas
SIAMSC
2008
237views more  SIAMSC 2008»
13 years 11 months ago
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional
We introduce a novel computational method for a Mumford-Shah functional, which decomposes a given image into smooth regions separated by closed curves. Casting this as a shape opti...
Günay Dogan, Pedro Morin, Ricardo H. Nochetto
SIAMSC
2008
123views more  SIAMSC 2008»
13 years 11 months ago
Adaptive Mesh Refinement for Nonparametric Image Registration
Eldad Haber, Stefan Heldmann, Jan Modersitzki
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 11 months ago
Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
Per-Olof Persson, Jaime Peraire
SIAMSC
2008
97views more  SIAMSC 2008»
13 years 11 months ago
Long-Time Simulations on High Resolution Meshes to Model Calcium Waves in a Heart Cell
Abstract. A model for the flow of calcium in an atrial heart cell is given by a system of timedependent reaction-diffusion equations coupled by non-linear reaction terms. Calcium i...
Matthias K. Gobbert
SIAMSC
2008
126views more  SIAMSC 2008»
13 years 11 months ago
Towards a Statistical Theory of Texture Evolution in Polycrystals
Abstract. Most technologically useful materials possess polycrystalline microstructures composed of a large number of small monocrystalline grains separated by grain boundaries. Th...
K. Barmak, M. Emelianenko, Dmitry Golovaty, David ...