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Integral Formulation (integral + formulation)

Distribution by Scientific Domains
Engineering87%

Kinds of Integral Formulation

  • boundary integral formulation
    		•

    Selected Abstracts

    An eddy current integral formulation on parallel computer systems

    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 9 2005
    Raffaele Fresa
    Abstract In this paper, we show how an eddy current volume integral formulation can be used to analyse complex 3D conducting structures, achieving a substantial benefit from the use of a parallel computer system. To this purpose, the different steps of the numerical algorithms in view of their parallelization are outlined to enlighten the merits and the limitations of the proposed approach. Numerical examples are developed in a parallel environment to show the effectiveness of the method. Copyright © 2004 John Wiley & Sons, Ltd. [source]

    A fast boundary cloud method for 3D exterior electrostatic analysis

    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 15 2004
    Vaishali Shrivastava
    Abstract An accelerated boundary cloud method (BCM) for boundary-only analysis of 3D electrostatic problems is presented here. BCM uses scattered points unlike the classical boundary element method (BEM) which uses boundary elements to discretize the surface of the conductors. BCM combines the weighted least-squares approach for the construction of approximation functions with a boundary integral formulation for the governing equations. A linear base interpolating polynomial that can vary from cloud to cloud is employed. The boundary integrals are computed by using a cell structure and different schemes have been used to evaluate the weakly singular and non-singular integrals. A singular value decomposition (SVD) based acceleration technique is employed to solve the dense linear system of equations arising in BCM. The performance of BCM is compared with BEM for several 3D examples. Copyright © 2004 John Wiley & Sons, Ltd. [source]

    Boundary element analysis of curved cracked panels with adhesively bonded patches

    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 1 2003
    P. H. Wen
    Abstract A new boundary element formulation for analysis of curved cracked panels with adhesively bonded patches is presented in this paper. The effect of the adhesive layer is modelled by distributed body forces (i.e. two in-plane forces, two moments and one out-of-plane force). A coupled boundary integral formulation of a shear deformable plate and two-dimensional plane stress elasticity is used to determine bending and membrane forces along the adhesive layer taking into consideration the compatibility conditions in the patch area. Two numerical examples are presented to demonstrate the efficiency of the proposed method. It is shown that the out-of-plane bending behaviour and panel curvature have significant influence on the magnitude of the stress intensity factors. Copyright © 2003 John Wiley & Sons, Ltd. [source]

    A complete boundary integral formulation for compressible Navier,Stokes equations

    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 12 2005
    Yang ZuoshengArticle first published online: 29 DEC 200
    Abstract A complete boundary integral formulation for compressible Navier,Stokes equations with time discretization by operator splitting is developed using the fundamental solutions of the Helmholtz operator equation with different order. The numerical results for wall pressure and wall skin friction of two-dimensional compressible laminar viscous flow around airfoils are in good agreement with field numerical methods. Copyright © 2004 John Wiley & Sons, Ltd. [source]

    High order boundary integral methods forMaxwell's equations using Microlocal Discretization and Fast Multipole Methods

    PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2007
    E. Darrigrand
    An efficient method to solve time harmonic Maxwell's equations in exterior domain for high frequencies is obtained by using the integral formulation of Després combined with a coupling method (MLFMD) based on the Microlocal Discretization method (MD) and the Multi-Level Fast Multipole Method (MLFMM) [1]. In this paper, we consider curved finite elements of higher order in the MLFMD method. Moreover, we improve the MLFMD method by sparsifying the translation matrix of the MLFMM, which involves privileged directions in that application. This improvement leads to a significant reduction of the algorithm complexity. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

    Koopman-von Neumann formulation of classical Yang-Mills theories: I

    ANNALEN DER PHYSIK, Issue 3 2006
    P. Carta
    Abstract In this paper we present the Koopman-von Neumann (KvN) formulation of classical non-Abelian gauge field theories. In particular we shall explore the functional (or classical path integral) counterpart of the KvN method. In the quantum path integral quantization of Yang-Mills theories concepts like gauge-fixing and Faddeev-Popov determinant appear in a quite natural way. We will prove that these same objects are needed also in this classical path integral formulation for Yang-Mills theories. We shall also explore the classical path integral counterpart of the BFV formalism and build all the associated universal and gauge charges. These last are quite different from the analog quantum ones and we shall show the relation between the two. This paper lays the foundation of this formalism which, due to the many auxiliary fields present, is rather heavy. Applications to specific topics outlined in the paper will appear in later publications. [source]