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SIAMSC
2008
173views more  SIAMSC 2008»
13 years 8 months ago
A Fast Iterative Method for Eikonal Equations
In this paper we propose a novel computational technique to solve the Eikonal equation. The proposed method manages the list of active nodes and iteratively updates the solutions ...
Won-Ki Jeong, Ross T. Whitaker
MMAS
2011
Springer
12 years 11 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
MP
2008
117views more  MP 2008»
13 years 8 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
PROCEDIA
2010
173views more  PROCEDIA 2010»
13 years 7 months ago
Combination of an adaptive multilevel SQP method and a space-time adaptive PDAE solver for optimal control problems
We present an adaptive multilevel generalized SQP method to solve PDAE-constrained optimization problems. It explicitly allows the use of independent integration schemes such that...
Debora Clever, Jens Lang, Stefan Ulbrich, J. Carst...
DAC
2003
ACM
14 years 2 months ago
Symbolic analysis of analog circuits with hard nonlinearity
A new methodology is presented to solve a strongly nonlinear circuit, characterized by Piece-Wise Linear (PWL) functions, symbolically and explicitly in terms of its circuit param...
Alicia Manthe, Zhao Li, C.-J. Richard Shi