Mukherjee

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Yakup Yıldırım - One of the best experts on this subject based on the ideXlab platform.

Subrata Mukherjee - One of the best experts on this subject based on the ideXlab platform.

  • The extended boundary node method for three-dimensional potential theory
    Computers & Structures, 2005
    Co-Authors: Srinivas Telukunta, Subrata Mukherjee
    Abstract:

    The boundary node method (BNM) [Mukherjee YX, Mukherjee S. The boundary node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] is a boundary-only mesh-free method that combines the moving least-squares (MLS) interpolation scheme with the standard boundary integral equations (BIEs). Curvilinear boundary co-ordinates were originally proposed and used in this method-for both two [Mukherjee YX, Mukherjee S. The boundary node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] and three-dimensional [Mukherjee S, Mukherjee YX. Boundary methods-elements, contours and nodes. Boca Raton, FL: CRC Press, in press] problems in potential theory and in linear elasticity. Li and Aluru [Li G, Aluru NR. Boundary cloud method: a combined scattered point/boundary integral approach for boundary-only analysis. Comput Methods Appl Mech Eng 2002;191:2337-70; Li G. Aluru NR. A boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] have recently proposed an elegant improvement to the BNM (called the boundary cloud method (BCM)) that allows the use of Cartesian co-ordinates. Their novel variable basis BCM [Li G. Aluru NR. A boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] has several advantages relative to the original BCM. It does, however, have a drawback in that continuous approximants are used for all boundary variables, even across corners. It is well known, for example, that the normal derivative of the potential function in potential theory, or the traction in linear elasticity, often suffers jump discontinuities across corners in two-dimensional (2-D) and across edges and corners in three-dimensional (3-D) problems. The present authors [Telukunta S, Mukherjee S. An extended boundary node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110] have recently proposed a further improvement to the BNM and the variable basis BCM. This new approach is called the extended BNM (EBNM). This method employs Cartesian co-ordinates with variable bases, together with appropriate approximants for the normal derivative across edges and corners that can model discontinuities in this variable. Two-dimensional problems in potential theory are presented in [Telukunta S, Mukherjee S. An extended boundary node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110]. The present paper is concerned with far more challenging problems-3-D problems in potential theory.

  • The extended boundary node method for three-dimensional potential theory
    Computers & Structures, 2005
    Co-Authors: Srinivas Telukunta, Subrata Mukherjee
    Abstract:

    The boundary node method (BNM) [Mukherjee YX, Mukherjee S. The boundary node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] is a boundary-only mesh-free method that combines the moving least-squares (MLS) interpolation scheme with the standard boundary integral equations (BIEs). Curvilinear boundary co-ordinates were originally proposed and used in this method-for both two [Mukherjee YX, Mukherjee S. The boundary node method for potential problems. Int J Numer Methods Eng 1997;40:797-815] and three-dimensional [Mukherjee S, Mukherjee YX. Boundary methods-elements, contours and nodes. Boca Raton, FL: CRC Press, in press] problems in potential theory and in linear elasticity. Li and Aluru [Li G, Aluru NR. Boundary cloud method: a combined scattered point/boundary integral approach for boundary-only analysis. Comput Methods Appl Mech Eng 2002;191:2337-70; Li G. Aluru NR. A boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] have recently proposed an elegant improvement to the BNM (called the boundary cloud method (BCM)) that allows the use of Cartesian co-ordinates. Their novel variable basis BCM [Li G. Aluru NR. A boundary cloud method with a cloud-by-cloud polynomial basis. Eng Anal Boundary Elem 2003;27:57-71] has several advantages relative to the original BCM. It does, however, have a drawback in that continuous approximants are used for all boundary variables, even across corners. It is well known, for example, that the normal derivative of the potential function in potential theory, or the traction in linear elasticity, often suffers jump discontinuities across corners in two-dimensional (2-D) and across edges and corners in three-dimensional (3-D) problems. The present authors [Telukunta S, Mukherjee S. An extended boundary node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110] have recently proposed a further improvement to the BNM and the variable basis BCM. This new approach is called the extended BNM (EBNM). This method employs Cartesian co-ordinates with variable bases, together with appropriate approximants for the normal derivative across edges and corners that can model discontinuities in this variable. Two-dimensional problems in potential theory are presented in [Telukunta S, Mukherjee S. An extended boundary node method for modeling normal derivative discontinuities in potential theory across edges and corners. Eng Anal Boundary Elem 2004;28:1099-110]. The present paper is concerned with far more challenging problems-3-D problems in potential theory.

  • Cauchy principal values and finite parts of boundary integrals—revisited
    Engineering Analysis with Boundary Elements, 2005
    Co-Authors: Subrata Mukherjee, Yu Xie Mukherjee
    Abstract:

    Abstract The relationship between Finite Parts (FPs) and Cauchy Principal Values (CPVs) (when they exist) of certain integrals has been previously studied by Toh and Mukherjee [Toh K-C, Mukherjee S. Hypersingular and finite part integrals in the boundary element method. Int J Solids Struct 1994;31:2299–2312] and Mukherjee [Mukherjee S. CPV and HFP integrals and their applications in the boundary element method. Int J Solids Struct 2000;37:6623–6634, Mukherjee S. Finite parts of singular and hypersingular integrals with irregular boundary source points. Engrg Anal Bound Elem 2000;24:767–776]. This paper continues this study and presents and proves an interesting new relationship between the CPV and FP of certain boundary integrals (on closed boundaries) that occur in Boundary Integral Equation (BIE) formulations of some common Boundary Value Problems (BVPs) in science and engineering.

  • two dimensional linear elasticity by the boundary node method
    International Journal of Solids and Structures, 1999
    Co-Authors: Vasanth S Kothnur, Subrata Mukherjee, Yu Xie Mukherjee
    Abstract:

    Abstract This paper presents a further development of the Boundary Node Method (BNM) for 2-D linear elasticity. In this work, the Boundary Integral Equations (BIE) for linear elasticity have been coupled with Moving Least Square (MLS) interpolants; this procedure exploits the mesh-less attributes of the MLS and the dimensionality advantages of the BIE. As a result, the BNM requires only a nodal data structure on the bounding surface of a body. A cell structure is employed only on the boundary in order to carry out numerical integration. In addition, the MLS interpolants have been suitably truncated at corners in order to avoid some of the oscillations observed while solving potential problems by the BNM ( Mukherjee and Mukherjee, 1997a ) . Numerical results presented in this paper, including those for the solution of the Lame and Kirsch problems, show good agreement with analytical solutions.

Kashif Ali - One of the best experts on this subject based on the ideXlab platform.

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Felix Nayak - One of the best experts on this subject based on the ideXlab platform.

  • Cultural Identity and Feminist Vision in the Novels of Bharati Mukherjee
    International Journal of Research, 2015
    Co-Authors: Felix Nayak
    Abstract:

    Cultural alienation is a global problem today. The huge difference between two ways of life results in a person getting depressed and frustrated. Bharati Mukherjee describes the American experience as one of ‘fusion’ and immigration a ‘two way process’ in which both the writer and the immigrants grow by the interchange and experience. In her novels ‘The Tiger’s Daughter’ and ‘Jasmine’, Bharati Mukherjee has displayed a dual cultural shock.