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99
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SIAMSC
2008
129views more  SIAMSC 2008»
15 years 20 days ago
Iterative Solution of Piecewise Linear Systems
The correct formulation of numerical models for free-surface hydrodynamics often requires the solution of special linear systems whose coefficient matrix is a piecewise constant fu...
Luigi Brugnano, Vincenzo Casulli
SIAMSC
2008
237views more  SIAMSC 2008»
15 years 20 days 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
191views more  SIAMSC 2008»
15 years 20 days 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...
111
Voted
SIAMSC
2008
192views more  SIAMSC 2008»
15 years 20 days 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
123
Voted
SIAMSC
2008
167views more  SIAMSC 2008»
15 years 20 days ago
New Finite Elements for Large-Scale Simulation of Optical Waves
We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called Trigonometric Finite Wave Elements (TFWEs)...
Britta Heubeck, Christoph Pflaum, Gunther Steinle