A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation

作者：Boubendir Y^*; Antoine X; Geuzaine C

来源：Journal of Computational Physics, 2012, 231(2): 262-280.

DOI：10.1016/j.jcp.2011.08.007

• Helmholtz equation
• Domain decomposition methods
• Finite elements
• Pade approximants

This paper presents a new non-overlapping domain decomposition method for the Helmholtz equation, whose effective convergence is quasi-optimal. These improved properties result from a combination of an appropriate choice of transmission conditions and a suitable approximation of the Dirichlet to Neumann operator. A convergence theorem of the algorithm is established and numerical results validating the new approach are presented in both two and three dimensions.

• 出版日期2012-1-20
• 单位INRIA