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SIAMSC
2010
117views more  SIAMSC 2010»
13 years 2 months ago
Least-Squares Finite Element Methods for Quantum Electrodynamics
A significant amount of the computational time in large Monte Carlo simulations of lattice field theory is spent inverting the discrete Dirac operator. Unfortunately, traditional...
James J. Brannick, C. Ketelsen, Thomas A. Manteuff...
SIAMSC
2010
117views more  SIAMSC 2010»
13 years 2 months ago
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
In this paper, we will first introduce a novel multiscale representation (MSR) for shapes via level set motions and partial differential equations (PDEs). Based on the MSR, we wi...
Bin Dong, Aichi Chien, Zuowei Shen, Stanley Osher
SIAMSC
2010
95views more  SIAMSC 2010»
13 years 2 months ago
Interpreting IDR as a Petrov--Galerkin Method
The IDR method of Sonneveld and van Gijzen [SIAM J. Sci. Comput., 31:1035–1062, 2008] is shown to be a Petrov-Galerkin (projection) method with a particular choice of left Krylov...
Valeria Simoncini, Daniel B. Szyld
SIAMSC
2010
127views more  SIAMSC 2010»
13 years 2 months ago
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
We present a new nonlinear optimization procedure for the computation of generalized Gaussian quadratures for a broad class of square integrable functions on intervals. While some ...
James Bremer, Zydrunas Gimbutas, Vladimir Rokhlin
SIAMSC
2010
215views more  SIAMSC 2010»
13 years 2 months ago
A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation
We propose a fast algorithm for solving the ℓ1-regularized minimization problem minx∈Rn µ x 1 + Ax − b 2 2 for recovering sparse solutions to an undetermined system of linea...
Zaiwen Wen, Wotao Yin, Donald Goldfarb, Yin Zhang
SIAMSC
2010
130views more  SIAMSC 2010»
13 years 2 months ago
First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics
Magnetohydrodynamics (MHD) is a fluid theory that describes Plasma Physics by treating the plasma as a fluid of charged particles. Hence, the equations that describe the plasma f...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
SIAMSC
2010
114views more  SIAMSC 2010»
13 years 2 months ago
Coupling Algorithms for Calculating Sensitivities of Smoluchowski's Coagulation Equation
Peter L. W. Man, James R. Norris, Ismaël F. B...
SIAMSC
2010
151views more  SIAMSC 2010»
13 years 2 months ago
An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
We develop an adaptive finite element method for solving the eddy current model with voltage excitations for complicated three dimensional structures. The mathematical model is ba...
Junqing Chen, Zhiming Chen, Tao Cui, Lin-Bo Zhang
SIAMSC
2010
114views more  SIAMSC 2010»
13 years 2 months ago
Smoothed Aggregation Multigrid for Markov Chains
Abstract. A smoothed aggregation multigrid method is presented for the numerical calculation of the stationary probability vector of an irreducible sparse Markov chain. It is shown...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
SIAMSC
2010
153views more  SIAMSC 2010»
13 years 2 months ago
Asymptotic Imaging of Perfectly Conducting Cracks
In this paper, we consider cracks with Dirichlet boundary conditions. We first derive an asymptotic expansion of the boundary perturbations that are due to the presence of a smal...
Habib Ammari, Hyeonbae Kang, Hyundae Lee, Won-Kwan...