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MMAS
2011
Springer
12 years 10 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
SIAMSC
2010
144views more  SIAMSC 2010»
13 years 5 months ago
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
Abstract. Popular approaches for solving the shallow water equations (SWE) for climate modeling are explicit and semi-implicit methods, both have certain constraints on the time st...
Chao Yang, Jianwen Cao, Xiao-Chuan Cai
20
Voted
MP
2008
117views more  MP 2008»
13 years 7 months ago
Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs
Abstract. We study piecewise decomposition methods for mathematical programs with equilibrium constraints (MPECs) for which all constraint functions are linear. At each iteration o...
Giovanni Giallombardo, Daniel Ralph
SCL
2008
105views more  SCL 2008»
13 years 7 months ago
Computation of nonlinear balanced realization and model reduction based on Taylor series expansion
In this paper a computational algorithm for nonlinear balanced realization and model reduction based on Taylor series expansion is proposed. This algorithm requires recursive comp...
Kenji Fujimoto, Daisuke Tsubakino
DAC
2002
ACM
14 years 8 months ago
A solenoidal basis method for efficient inductance extraction
The ability to compute the parasitic inductance of the interconnect is critical to the timing verification of modern VLSI circuits. A challenging aspect of inductance extraction i...
Hemant Mahawar, Vivek Sarin, Weiping Shi