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SIAMSC
2010
104views more  SIAMSC 2010»
9 years 6 months ago
BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions
Abstract. BDDC algorithms are constructed and analyzed for the system of almost incompressible elasticity discretized with Gauss-Lobatto-Legendre spectral elements in three dimensi...
Luca F. Pavarino, Olof B. Widlund, Stefano Zampini
SIAMSC
2010
112views more  SIAMSC 2010»
9 years 6 months ago
Communication-optimal Parallel and Sequential Cholesky Decomposition
Grey Ballard, James Demmel, Olga Holtz, Oded Schwa...
SIAMSC
2010
132views more  SIAMSC 2010»
9 years 6 months 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
155views more  SIAMSC 2010»
9 years 6 months ago
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
In this paper we proposed quasi-Newton and limited memory quasi-Newton methods for objective functions defined on Grassmannians or a product of Grassmannians. Specifically we defin...
Berkant Savas, Lek-Heng Lim
SIAMSC
2010
117views more  SIAMSC 2010»
9 years 6 months ago
Tackling Box-Constrained Optimization via a New Projected Quasi-Newton Approach
Dongmin Kim, Suvrit Sra, Inderjit S. Dhillon
SIAMSC
2010
142views more  SIAMSC 2010»
9 years 6 months ago
Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization
In this paper we present HUND, a hypergraph-based unsymmetric nested dissection ordering algorithm for reducing the fill-in incurred during Gaussian elimination. HUND has several i...
Laura Grigori, Erik G. Boman, Simplice Donfack, Ti...
SIAMSC
2010
145views more  SIAMSC 2010»
9 years 6 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...
SIAMSC
2010
142views more  SIAMSC 2010»
9 years 6 months 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
170views more  SIAMSC 2010»
9 years 6 months ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
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