<p>A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The error of the dynamic iteration is convergent to 0 and subject to a effective decreasing bound. No stability condition is required and the method is in particular applicable to port-Hamiltonian formulations arising from domain decompositions.</p>

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Operator Splitting Based Dynamic Iteration for Linear Infinite-Dimensional Port-Hamiltonian Systems

  • Bálint Farkas,
  • Birgit Jacob,
  • Timo Reis,
  • Merlin Schmitz

摘要

A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The error of the dynamic iteration is convergent to 0 and subject to a effective decreasing bound. No stability condition is required and the method is in particular applicable to port-Hamiltonian formulations arising from domain decompositions.