SIAMSC
2010
13 years 10 months ago
2010
A greedy algorithm for the construction of a reduced model with reduction in both parameter and state is developed for efficient solution of statistical inverse problems governed b...
SIAMSC
2010
13 years 10 months ago
2010
In this paper, we study alternating direction methods for solving constrained total-variation image restoration and reconstruction problems. Alternating direction methods can be im...
SIAMSC
2010
13 years 10 months ago
2010
A recursive acceleration method is proposed for multiplicative multilevel aggregation algorithms that calculate the stationary probability vector of large, sparse, and irreducible ...
SIAMSC
2010
13 years 10 months ago
2010
Abstract. In this article, we present a parallel geometric multigrid algorithm for solving elliptic partial differential equations (PDEs) on octree based conforming finite elemen...
SIAMSC
2010
13 years 10 months ago
2010
SIAMSC
2010
13 years 10 months ago
2010
For the finite volume discretization of a second-order elliptic model problem, we derive a posteriori error estimates which take into account an inexact solution of the associated...
SIAMSC
2010
13 years 10 months ago
2010
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
SIAMSC
2010
13 years 10 months ago
2010
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...
SIAMSC
2010
13 years 10 months ago
2010
In recent years nonpolynomial finite element methods have received increasing attention for the efficient solution of wave problems. As with their close cousin the method of parti...
SIAMSC
2010
13 years 10 months ago
2010
We introduce a new level set method for motion in normal direction. It is based on a formulation in the form of a second order forward-backward diffusion equation. The equation is...