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117
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SIAMSC
2008
129views more  SIAMSC 2008»
15 years 3 months 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
137
Voted
SIAMSC
2008
237views more  SIAMSC 2008»
15 years 3 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
191views more  SIAMSC 2008»
15 years 3 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...
140
Voted
SIAMSC
2008
192views more  SIAMSC 2008»
15 years 3 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
167views more  SIAMSC 2008»
15 years 3 months 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