We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in[2,3]to the(non-consistent)super penalty discontinuous Galerkin methods introduced in[5]and[8].We show that the resulti...We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in[2,3]to the(non-consistent)super penalty discontinuous Galerkin methods introduced in[5]and[8].We show that the resulting preconditioners are scalable,and we provide the convergence estimates.We also present numerical experiments confirming the sharpness of the theoretical results.展开更多
基金The work was carried out while the second author was visiting the Istituto di Matematica Applicata e Tecnologie Informatiche of the CNR in PaviaShe thanks the Institute for the kind hospitalityThe first author has been supported by ADIGMA project within the 3rd Call of the 6th European Research Framework Programme.The second author has been supported by MTM2005−00714 of the Spanish MEC and by SIMUMAT of CAM.
文摘We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in[2,3]to the(non-consistent)super penalty discontinuous Galerkin methods introduced in[5]and[8].We show that the resulting preconditioners are scalable,and we provide the convergence estimates.We also present numerical experiments confirming the sharpness of the theoretical results.
