Domain Decomposition Algorithms for Indefinite Elliptic Problems

  title={Domain Decomposition Algorithms for Indefinite Elliptic Problems},
  author={Xiao-Chuan Cai and Olof B. Widlund},
  journal={SIAM J. Scientific Computing},
Iterative methods for linear systems of algebraic equations arising from the finite element discretization of nonsymmetric and indefinite elliptic problems are considered. Methods previously known to work well for positive definite, symmetric problems are extended to certain nonsymmetric problems, which can also have some eigenvalues in the left half plane. We first consider an additive Schwarz method applied to linear, second order, symmetric or nonsymmetric, indefinite elliptic boundary value… CONTINUE READING
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