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SIAMSC
2010
231views more  SIAMSC 2010»
13 years 4 months ago
Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies
Abstract. This paper is concerned with optimal control problems of partial differential equations. In particular, parameterized convection-diffusion problems are considered, wher...
Timo Tonn, Karsten Urban, Stefan Volkwein
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 24 days ago
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems
Abstract. We develop in this paper some efficient algorithms which are essential to implementations of spectral methods on the sparse grid by Smolyak's construction based on a...
Jie Shen, Haijun Yu
SIAMSC
2010
132views more  SIAMSC 2010»
13 years 24 days ago
An Interior-Point Algorithm for Large-Scale Nonlinear Optimization with Inexact Step Computations
We present a line-search algorithm for large-scale continuous optimization. The algorithm is matrix-free in that it does not require the factorization of derivative matrices. Inste...
Frank E. Curtis, Olaf Schenk, Andreas Wächter
SIAMSC
2010
134views more  SIAMSC 2010»
13 years 4 months ago
Moving Least Squares via Orthogonal Polynomials
A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient ...
Michael Carley
SIAMSC
2010
161views more  SIAMSC 2010»
13 years 4 months ago
Surface Reconstruction and Image Enhancement via L1-Minimization
A surface reconstruction technique based on minimization of the total variation of the gradient is introduced. Convergence of the method is established, and an interior-point algor...
Veselin Dobrev, Jean-Luc Guermond, Bojan Popov