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  • 1
    Electronic Resource
    Electronic Resource
    A simple local error estimator and an adaptive time-stepping procedure for direct integration method in dynamic analysis (1993)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 9 (1993), S. 273-292 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A simple a posteriori local error estimator for time discretization in structural dynamic analysis is presented. It is derived from the difference of the solutions between an ordinary integration method (the Newmark scheme) and another higher-order one which assumes that the derivatives of accelerations vary linearly within each time step. It may be obtained directly without resolving new equations, so the additional computational cost is small and the implementation is convenient. Furthermore, it is shown that this error estimator may also be obtained by Taylor expansion or by a post-processing technique. Accordingly, an adaptive time-stepping procedure, which automatically adjusts the time-step size so that the local error at each time step is within a prescribed accuracy, is described. Numerical examples, including two single-DOF problems, a two-DOF problem and a multi-DOF model, are presented. The results show that the presented local error estimator is simple, reliable and accurate.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640090402
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Superconvergent patch recovery of finite-element solution and a posteriori L2 norm error estimate (1994)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 10 (1994), S. 313-320 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In the paper we present a superconvergent patch recovery technique for obtaining higher-order-accurate finite-element solutions and thus a postprocessed type of L2 norm error estimate. Two modifications make our procedure different from the one proposed by Zienkiewicz and Zhu (1992), in which higher-order-accurate derivatives of the finite-element solution at nodes are determined. Firstly, the recovery process is made for element, not for nodes. An ‘element patch’, which represents the union of an element under consideration and the surrounding elements, is introduced. Secondly, the local error estimate is calculated directly from the improved solution for this element. Numerical tests on both 1D and 2D model problems show that this method can provide an asymptotically exact a posteriori L2 norm error estimate if the used element possesses superconvergent points for the solutions.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640100406
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    FINITE ELEMENT METHOD FOR GRADIENT PLASTICITY AT LARGE STRAINS (1996)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 39 (1996), S. 619-633 
    Details
    ISSN: 0029-5981
    Keywords: gradient plasticity ; strain localization ; mixed strain element method ; large strain ; consistent algorithm ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element method for gradient elasto-plastic continuum in which the yield strength of strain hardening/softening materials not only depends on the effective plastic strain but also on its Laplacian is presented. The consistent integration algorithm to update the stress and the internal state variable at integration points and the consistent compliance matrix for the gradient plasticity are formulated in the non-local sense.The methodology to derive the finite element formulation for the gradient plasticity at large strains presented in this paper is applicable to general finite element analysis; the formulation in the context of the two-dimensional four-noded mixed finite element with one integration point and mean von Mises yield criterion is particularly derived.Numerical examples are tested to demonstrate the capability and performance of the present finite element method at large strain in solving for the strain localization problem.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 4
    Electronic Resource
    Electronic Resource
    STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD (1996)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 39 (1996), S. 2131-2152 
    Details
    ISSN: 0029-5981
    Keywords: discontinuous Galerkin finite element method ; predictor-multicorrector ; adaptive time integration ; structural dynamics ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper studies a time-discontinuous Galerkin finite element method for structural dynamic problems, by which both displacements and velocities are approximated as piecewise linear functions in the time domain and may be discontinuous at the discrete time levels. A new iterative solution algorithm which involves only one factorization for each fixed time step size and a few iterations at each step is presented for solving the resulted system of coupled equations. By using the jumps of the displacements and the velocities in the total energy norm as error indicators, an adaptive time-stepping procedure for selecting the proper time step size is described. Numerical examples including both single-DOF and multi-DOF problems are used to illustrate the performance of these algorithms. Comparisons with the exact results and/or the results by the Newmark integration scheme are given. It is shown that the time-discontinuous Galerkin finite element method discussed in this study possesses good accuracy (third order) and stability properties, its numerical implementation is not difficult, and the higher computational cost needed in each time step is compensated by use of a larger time step size.
    Additional Material: 20 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 5
    Electronic Resource
    Electronic Resource
    A postprocessed error estimate and an adaptive procedure for the semidiscrete finite element method in dynamic analysis (1994)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 37 (1994), S. 3585-3603 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In the paper we present a postprocessed type of a posteriori error estimate and a h-version adaptive procedure for the semidiscrete finite element method in dynamic analysis. In space the super-convergent patch recovery technique is used for determining higher-order accurate stresses and, thus, a spatial error estimate. In time a postprocessing technique is developed for obtaining a local error estimate for one step time integration schemes (the HHT-α method). Coupling the error estimate with a mesh generator, a h-version adaptive finite element procedure is presented for two-dimensional dynamic analysis. It updates the spatial mesh and time step automatically so that the discretization errors are controlled within specified tolerances. Numerical studies on different problems are presented for demonstrating the performances of the proposed adaptive procedure.
    Additional Material: 19 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620372102
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    Paper (German National Licenses)
    Fulltext
  • 6
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    LRRK2 promotes the activation of NLRC4 inflammasome during Salmonella Typhimurium infection (2017)
    Rockefeller University Press
    Details
    Publication Date: 2017-10-03
    Description: Although genetic polymorphisms in the LRRK2 gene are associated with a variety of diseases, the physiological function of LRRK2 remains poorly understood. In this study, we report a crucial role for LRRK2 in the activation of the NLRC4 inflammasome during host defense against Salmonella enteric serovar Typhimurium infection. LRRK2 deficiency reduced caspase-1 activation and IL-1β secretion in response to NLRC4 inflammasome activators in macrophages. Lrrk2 –/– mice exhibited impaired clearance of pathogens after acute S. Typhimurium infection. Mechanistically, LRRK2 formed a complex with NLRC4 in the macrophages, and the formation of the LRRK2–NLRC4 complex led to the phosphorylation of NLRC4 at Ser533. Importantly, the kinase activity of LRRK2 is required for optimal NLRC4 inflammasome activation. Collectively, our study reveals an important role for LRRK2 in the host defense by promoting NLRC4 inflammasome activation.
    Keywords: Innate Immunity and Inflammation
    Print ISSN: 0022-1007
    Electronic ISSN: 1540-9538
    Topics: Medicine
    Published by Rockefeller University Press
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  • 7
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    ICAM-1 controls development and function of ILC2 (2018)
    Rockefeller University Press
    Details
    Publication Date: 2018-08-07
    Description: Group 2 innate lymphoid cells (ILC2s) are emerging as key players in the pathogenesis of allergic airway inflammation. The mechanisms regulating ILC2, however, are not fully understood. Here, we found that ICAM-1 is required for the development and function of ILC2. ICAM-1–deficient ( ICAM-1 –/– ) mice displayed significantly lower levels of ILC2s in the bone marrow and peripheral tissues than wild-type controls. CLP transfer and in vitro culture assays revealed that the regulation of ILC2 by ICAM-1 is cell intrinsic. Furthermore, ILC2s from ICAM-1 –/– mice were functionally impaired, as indicated by the diminished production of type-2 cytokines in response to IL-33 challenge. The reduction in lung ILC2s caused a clear remission of airway inflammation in ICAM-1 –/– mice after administration of papain or Alternaria alternata. We further demonstrate that ILC2 defects caused by ICAM-1 deficiency are due to ERK signaling-dependent down-regulation of GATA3 protein. Collectively, these observations identify ICAM-1 as a novel regulator of ILC2.
    Keywords: Innate Immunity and Inflammation
    Print ISSN: 0022-1007
    Electronic ISSN: 1540-9538
    Topics: Medicine
    Published by Rockefeller University Press
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  • 8
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    Myeloid-derived cullin 3 promotes STAT3 phosphorylation by inhibiting OGT expression and protects against intestinal inflammation (2017)
    Rockefeller University Press
    Details
    Publication Date: 2017-04-04
    Description: Signal transducer and activator of transcription 3 (STAT3) is a key mediator of intestinal inflammation and tumorigenesis. However, the molecular mechanism that modulates STAT3 phosphorylation and activation is not fully understood. Here, we demonstrate that modification of STAT3 with O -linked β- N -acetylglucosamine ( O -GlcNAc) on threonine 717 (T717) negatively regulates its phosphorylation and targets gene expression in macrophages. We further found that cullin 3 (CUL3), a cullin family E3 ubiquitin ligase, down-regulates the expression of the O -GlcNAc transferase (OGT) and inhibits STAT3 O -GlcNAcylation. The inhibitory effect of CUL3 on OGT expression is dependent on nuclear factor E2–related factor-2 (Nrf2), which binds to the Ogt promoter region and increases gene transcription. Myeloid deletion of Cul3 led to defective STAT3 phosphorylation in colon macrophages, which was accompanied by exacerbated colonic inflammation and inflammation-driven tumorigenesis. Thus, this study identifies a new form of posttranslational modification of STAT3, modulating its phosphorylation, and suggests the importance of immunometabolism on colonic inflammation and tumorigenesis.
    Keywords: Innate Immunity and Inflammation
    Print ISSN: 0022-1007
    Electronic ISSN: 1540-9538
    Topics: Medicine
    Published by Rockefeller University Press
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