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MMAS
2011
Springer
12 years 8 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
JC
2007
160views more  JC 2007»
13 years 5 months ago
BDDC methods for discontinuous Galerkin discretization of elliptic problems
A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is considered. For this discretization...
Maksymilian Dryja, Juan Galvis, Marcus Sarkis
SIAMCO
2002
121views more  SIAMCO 2002»
13 years 5 months ago
Consistent Approximations and Approximate Functions and Gradients in Optimal Control
As shown in [7], optimal control problems with either ODE or PDE dynamics can be solved efficiently using a setting of consistent approximations obtained by numerical discretizati...
Olivier Pironneau, Elijah Polak