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SIAMSC
2011
140views more  SIAMSC 2011»
12 years 8 months ago
A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calcu
Abstract. An efficient parallel algorithm is presented and tested for computing selected components of H−1 where H has the structure of a Hamiltonian matrix of two-dimensional la...
Lin Lin, Chao Yang, Jianfeng Lu, Lexing Ying, Wein...
SIAMSC
2011
85views more  SIAMSC 2011»
12 years 8 months ago
Refinement and Connectivity Algorithms for Adaptive Discontinuous Galerkin Methods
Abstract. Adaptive multiscale methods are among the many effective techniques for the numerical solution of partial differential equations. Efficient grid management is an import...
Kolja Brix, Ralf Massjung, Alexander Voss
SIAMSC
2011
113views more  SIAMSC 2011»
12 years 12 months ago
An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson–Boltzmann equation. Our approach combines sever...
Chandrajit L. Bajaj, Shun-Chuan Albert Chen, Alexa...
SIAMSC
2011
148views more  SIAMSC 2011»
12 years 12 months ago
Bootstrap AMG
We develop an algebraic multigrid (AMG) setup scheme based on the bootstrap framework for multiscale scientific computation. Our approach uses a weighted least squares definition...
Achi Brandt, James J. Brannick, K. Kahl, Irene Liv...
SIAMSC
2011
162views more  SIAMSC 2011»
13 years 13 days ago
Accelerating the LSTRS Algorithm
In a recent paper [Rojas, Santos, Sorensen: ACM ToMS 34 (2008), Article 11] an efficient method for solving the Large-Scale Trust-Region Subproblem was suggested which is based on ...
Jörg Lampe, Marielba Rojas, Danny C. Sorensen...
SIAMSC
2011
112views more  SIAMSC 2011»
13 years 13 days ago
A Discontinuous Galerkin Solver for Front Propagation
We propose a new discontinuous Galerkin (DG) method based on [9] to solve a class of Hamilton-Jacobi equations that arises from optimal control problems. These equations are connec...
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
SIAMSC
2011
219views more  SIAMSC 2011»
13 years 13 days ago
Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian
We consider the problem of estimating the uncertainty in large-scale linear statistical inverse problems with high-dimensional parameter spaces within the framework of Bayesian inf...
H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judi...
SIAMSC
2011
105views more  SIAMSC 2011»
13 years 13 days ago
Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering is a promising technique not only in improving the order of the numerical solution obtained by a disc...
Paulien van Slingerland, Jennifer K. Ryan, C. Vuik
SIAMSC
2011
126views more  SIAMSC 2011»
13 years 13 days ago
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology
The electrical activity of the heart may be modeled by a non-linear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electr...
Micol Pennacchio, Valeria Simoncini