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SIAMSC
2010
134views more  SIAMSC 2010»
13 years 10 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
119views more  SIAMSC 2010»
13 years 10 months ago
An Entropy Adjoint Approach to Mesh Refinement
This work presents a mesh refinement indicator based on entropy variables, with an application to the compressible Navier-Stokes equations. The entropy variables are shown to sati...
Krzysztof J. Fidkowski, Philip L. Roe
SIAMSC
2010
194views more  SIAMSC 2010»
13 years 10 months ago
A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images
In this paper, we develop a fast multilevel algorithm for simultaneously denoising and deblurring images under the total variation regularization. Although much effort has been de...
Raymond H. Chan, Ke Chen 0002
SIAMSC
2010
121views more  SIAMSC 2010»
13 years 10 months ago
Extrapolated Implicit-Explicit Time Stepping
This paper constructs extrapolated implicit-explicit time stepping methods that allow one to efficiently solve problems with both stiff and nonstiff components. The proposed meth...
Emil M. Constantinescu, Adrian Sandu
SIAMSC
2010
120views more  SIAMSC 2010»
13 years 10 months ago
Simultaneously Sparse Solutions to Linear Inverse Problems with Multiple System Matrices and a Single Observation Vector
Abstract. A problem that arises in slice-selective magnetic resonance imaging (MRI) radiofrequency (RF) excitation pulse design is abstracted as a novel linear inverse problem with...
Adam C. Zelinski, Vivek K. Goyal, Elfar Adalsteins...
SIAMSC
2010
110views more  SIAMSC 2010»
13 years 10 months ago
Finite-Element Preconditioning of G-NI Spectral Methods
Claudio Canuto, Paola Gervasio, Alfio Quarteroni
SIAMSC
2010
129views more  SIAMSC 2010»
13 years 10 months ago
A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation
In this paper we extend the micro-macro decomposition based asymptotic-preserving scheme developed in [3] for the single species Boltzmann equation to the multispecies problems. A...
Shi Jin, Yingzhe Shi
SIAMSC
2010
192views more  SIAMSC 2010»
13 years 10 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston