Corrected explicit-implicit domain decomposition(CEIDD) algorithms are studied for parallel approximation of semilinear parabolic problems on distributed memory processors. It is natural to divide the spatial domain i...Corrected explicit-implicit domain decomposition(CEIDD) algorithms are studied for parallel approximation of semilinear parabolic problems on distributed memory processors. It is natural to divide the spatial domain into some smaller parallel strips and cells using the simplest straightline interface(SI) . By using the Leray-Schauder fixed-point theorem and the discrete energy method,it is shown that the resulting CEIDD-SI algorithm is uniquely solvable,unconditionally stable and convergent. The CEIDD-SI method always suffers from the globalization of data communication when interior boundaries cross into each other inside the domain. To overcome this disadvantage,a composite interface(CI) that consists of straight segments and zigzag fractions is suggested. The corresponding CEIDD-CI algorithm is proven to be solvable,stable and convergent. Numerical experiments are presented to support the theoretical results.展开更多
A tetranuclear Li2Cr2 acetylide precursor complex, [Li(Tp)CrIII(C≡CSiMe3)2(μ_3-pz)]2·(n-pentane)2 (Tp=hydridotris(pyrazolyl)borate, pz = pyrazolate) (1) has been synthesized and characterized. The X-ray structu...A tetranuclear Li2Cr2 acetylide precursor complex, [Li(Tp)CrIII(C≡CSiMe3)2(μ_3-pz)]2·(n-pentane)2 (Tp=hydridotris(pyrazolyl)borate, pz = pyrazolate) (1) has been synthesized and characterized. The X-ray structure analysis shows that the complex contains a Li2Cr2 core bridged by two μ_3-pyrazolates. The magnetic data exhibit the existence of weak antiferromagnetic interaction in the cluster.展开更多
A tetranuclear Li2Cr2 acetylide precursor complex, [Li(Tp)crm(c=CSiMe3)2(/,t3-pz)]2· (n-pentane)2 (Tp = hydridotris(pyra- zolyl)borate, pz = pyrazolate) (1) has been synthesized and characterized. The X-ray struc...A tetranuclear Li2Cr2 acetylide precursor complex, [Li(Tp)crm(c=CSiMe3)2(/,t3-pz)]2· (n-pentane)2 (Tp = hydridotris(pyra- zolyl)borate, pz = pyrazolate) (1) has been synthesized and characterized. The X-ray structure analysis shows that the complex contains a Li2Cr2 core bridged by two ,u3-pyrazolates. The magnetic data exhibit the existence of weak antiferromagnetic in- teraction in the cluster.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 10871044)
文摘Corrected explicit-implicit domain decomposition(CEIDD) algorithms are studied for parallel approximation of semilinear parabolic problems on distributed memory processors. It is natural to divide the spatial domain into some smaller parallel strips and cells using the simplest straightline interface(SI) . By using the Leray-Schauder fixed-point theorem and the discrete energy method,it is shown that the resulting CEIDD-SI algorithm is uniquely solvable,unconditionally stable and convergent. The CEIDD-SI method always suffers from the globalization of data communication when interior boundaries cross into each other inside the domain. To overcome this disadvantage,a composite interface(CI) that consists of straight segments and zigzag fractions is suggested. The corresponding CEIDD-CI algorithm is proven to be solvable,stable and convergent. Numerical experiments are presented to support the theoretical results.
文摘A tetranuclear Li2Cr2 acetylide precursor complex, [Li(Tp)CrIII(C≡CSiMe3)2(μ_3-pz)]2·(n-pentane)2 (Tp=hydridotris(pyrazolyl)borate, pz = pyrazolate) (1) has been synthesized and characterized. The X-ray structure analysis shows that the complex contains a Li2Cr2 core bridged by two μ_3-pyrazolates. The magnetic data exhibit the existence of weak antiferromagnetic interaction in the cluster.
基金financially supported by the National Natural Science Foundation of China (20801022, 21172084)the Program for New Century Excellent Talents in University of China (NCET-10-0406)+1 种基金the Program for Changjiang Scholars and Innovative Research Team in University (IRT0953)Self-Determined Research Funds of CCNU from the Col- leges' Basic Research and Operation of MOE (CCNU09A02002, CCNU11C01002)
文摘A tetranuclear Li2Cr2 acetylide precursor complex, [Li(Tp)crm(c=CSiMe3)2(/,t3-pz)]2· (n-pentane)2 (Tp = hydridotris(pyra- zolyl)borate, pz = pyrazolate) (1) has been synthesized and characterized. The X-ray structure analysis shows that the complex contains a Li2Cr2 core bridged by two ,u3-pyrazolates. The magnetic data exhibit the existence of weak antiferromagnetic in- teraction in the cluster.
