Additive Operator Decomposition and Optimization-Based Reconnection with Applications

نویسندگان

  • Pavel B. Bochev
  • Denis Ridzal
چکیده

We develop an optimization-based approach for additive decomposition and reconnection of algebraic problems arising from discretization of partial differential equations (PDEs). Application to a scalar advection-diffusion PDE illustrates the new approach. In particular, we obtain a robust iterative solver for advection-dominated problems using standard multi-level solvers for the Poisson equation.

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تاریخ انتشار 2009