본문 바로가기
KERD
논문KCI 등재

Corrigendum to "A dual iterative substructuring method with a small penalty parameter'', [J. Korean Math. Soc. 54 (2017), No. 2, 461--477]

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this corrigendum, we offer a correction to~[J. Korean Math. Soc. 54 (2017), No. 2, 461--477]. We construct a counterexample for the strengthened Cauchy--Schwarz inequality used in the original paper. In addition, we provide a new proof for Lemma~5 of the original paper, an estimate for the extremal eigenvalues of the standard unpreconditioned FETI-DP dual operator.

Abstract

In this corrigendum, we offer a correction to~[J. Korean Math. Soc. 54 (2017), No. 2, 461--477]. We construct a counterexample for the strengthened Cauchy--Schwarz inequality used in the original paper. In addition, we provide a new proof for Lemma~5 of the original paper, an estimate for the extremal eigenvalues of the standard unpreconditioned FETI-DP dual operator.

참고문헌 (7)

  1. Pavel Bochev, "On the Finite Element Solution of the Pure Neumann Problem", SIAM Review, 47(1), pp.50~66 (2005), Society for Industrial & Applied Mathematics (SIAM)[DOI]
  2. James H. Bramble, "Some Estimates for a Weighted L 2 Projection", Mathematics of Computation, 56(194), pp.463~ (1991), JSTOR[DOI]
  3. Chang-Ock Lee, "A dual iterative substructuring method with a penalty term in three dimensions", Computers & Mathematics with Applications, 64(9), pp.2787~2805 (2012), Elsevier BV[DOI]
  4. 이창옥, "A DUAL ITERATIVE SUBSTRUCTURING METHOD WITH A SMALL PENALTY PARAMETER", 대한수학회지, 54(2), pp.461~477 (2017), 대한수학회
  5. Jan Mandel, "On the convergence of a dual-primal substructuring method", Numerische Mathematik, 88(3), pp.543~558 (2001), Springer Science and Business Media LLC[DOI]
  6. A. Toselli, "Widlund, Domain decomposition methods|algorithms and theory" (2005), Springer-Verlag
  7. Jinchao Xu, "Some Nonoverlapping Domain Decomposition Methods", SIAM Review, 40(4), pp.857~914 (1998), Society for Industrial & Applied Mathematics (SIAM)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (11건)