The Experts below are selected from a list of 96 Experts worldwide ranked by ideXlab platform

Benoit Magnain - One of the best experts on this subject based on the ideXlab platform.

  • Bi-First: A simple and efficient algorithm to identify dissipated energy in impact problems
    Atmospheric environment, 2007
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modelling of frictional contact problems in static cases. This paper presents the extension of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The solution algorithm, named Bi-First, is simple and efficient. The principle of energy conservation for the given exemples is well preserved using the algorithm without any regularization. The numerical results also show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • Energy Dissipation by Friction in Dynamic Multibody Contact Problems
    2006
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modeling of frictional contact problems in static cases. This paper presents the application of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The numerical results show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • The bi-potential method applied to the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

  • The bi-potential method applied for the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

Zhi-qiang Feng - One of the best experts on this subject based on the ideXlab platform.

  • Bi-First: A simple and efficient algorithm to identify dissipated energy in impact problems
    Atmospheric environment, 2007
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modelling of frictional contact problems in static cases. This paper presents the extension of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The solution algorithm, named Bi-First, is simple and efficient. The principle of energy conservation for the given exemples is well preserved using the algorithm without any regularization. The numerical results also show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • Energy Dissipation by Friction in Dynamic Multibody Contact Problems
    2006
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modeling of frictional contact problems in static cases. This paper presents the application of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The numerical results show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • The bi-potential method applied to the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

  • The bi-potential method applied for the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

Pierre Joli - One of the best experts on this subject based on the ideXlab platform.

  • Bi-First: A simple and efficient algorithm to identify dissipated energy in impact problems
    Atmospheric environment, 2007
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modelling of frictional contact problems in static cases. This paper presents the extension of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The solution algorithm, named Bi-First, is simple and efficient. The principle of energy conservation for the given exemples is well preserved using the algorithm without any regularization. The numerical results also show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • Energy Dissipation by Friction in Dynamic Multibody Contact Problems
    2006
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modeling of frictional contact problems in static cases. This paper presents the application of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The numerical results show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • The bi-potential method applied to the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

  • The bi-potential method applied for the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

Jean-michel Cros - One of the best experts on this subject based on the ideXlab platform.

  • Bi-First: A simple and efficient algorithm to identify dissipated energy in impact problems
    Atmospheric environment, 2007
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modelling of frictional contact problems in static cases. This paper presents the extension of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The solution algorithm, named Bi-First, is simple and efficient. The principle of energy conservation for the given exemples is well preserved using the algorithm without any regularization. The numerical results also show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • Energy Dissipation by Friction in Dynamic Multibody Contact Problems
    2006
    Co-Authors: Zhi-qiang Feng, Benoit Magnain, Jean-michel Cros, Pierre Joli
    Abstract:

    The bi-potential method has been successfully applied for the modeling of frictional contact problems in static cases. This paper presents the application of this method for dynamic analysis of impact problems with multiple deformable bodies. Instead of second order algorithms, a first order algorithm is applied for the numerical integration of the time-Discretized Equation of motion. The numerical results show clearly the physical energy dissipation introduced by frictional effects between the solids in contact.

  • The bi-potential method applied to the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

  • The bi-potential method applied for the modeling of dynamic problems with friction
    Computational Mechanics, 2005
    Co-Authors: Zhi-qiang Feng, Jean-michel Cros, Pierre Joli, Benoit Magnain
    Abstract:

    The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-Discretized Equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

Peter Mathe - One of the best experts on this subject based on the ideXlab platform.

  • Discretized lavrent ev regularization for the autoconvolution Equation
    Applicable Analysis, 2017
    Co-Authors: Steven Burger, Peter Mathe
    Abstract:

    Lavrent’ev regularization for the autoconvolution Equation was considered by Janno J. in Lavrent’ev regularization of ill-posed problems containing nonlinear near-to-monotone operators with application to autoconvolution Equation, Inverse Prob. 2000;16:333–348. Here this study is extended by considering discretization of the Lavrent’ev scheme by splines. It is shown how to maintain the known convergence rate by an appropriate choice of spline spaces and a proper choice of the discretization level. For piece-wise constant splines the Discretized Equation allows for an explicit solver, in contrast to using higher order splines. This is used to design a fast implementation by means of post-smoothing, which provides results, which are indistinguishable from results obtained by direct discretization using cubic splines.

  • Discretized lavrent ev regularization for the autoconvolution Equation
    arXiv: Numerical Analysis, 2016
    Co-Authors: Steven Burger, Peter Mathe
    Abstract:

    Lavrent'ev regularization for the autoconvolution Equation was considered by J. Janno in {\itshape Lavrent'ev regularization of ill-posed problems containing nonlinear near-to-monotone operators with application to autoconvolution Equation}, Inverse Problems, 16(2):333--348, 2000. Here this study is extended by considering discretization of the Lavrent'ev scheme by splines. It is shown how to maintain the known convergence rate by an appropriate choice of spline spaces and a proper choice of the discretization level. For piece-wise constant splines the Discretized Equation allows for an explicit solver, in contrast to using higher order splines. This is used to design a fast implementation by means of post-smoothing, which provides results, which are indistinguishable from results obtained by direct discretization using cubic splines.