Tips for implementing multigrid methods on domains containing holes

@article{Hawley2004TipsFI,
  title={Tips for implementing multigrid methods on domains containing holes},
  author={S. Hawley and R. Matzner},
  journal={Classical and Quantum Gravity},
  year={2004},
  volume={21},
  pages={805-821}
}
  • S. Hawley, R. Matzner
  • Published 2004
  • Physics
  • Classical and Quantum Gravity
  • As part of our development of a computer code to perform 3D 'constrained evolution' of Einstein's equations in 3+1 form, we discuss issues regarding the efficient solution of elliptic equations on domains containing holes (i.e., excised regions), via the multigrid method. We consider as a test case the Poisson equation with a nonlinear term added, as a means of illustrating the principles involved, and move to a 'real world' three-dimensional problem which is the solution of the conformally… CONTINUE READING
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