The Experts below are selected from a list of 838380 Experts worldwide ranked by ideXlab platform

Diego Froio - One of the best experts on this subject based on the ideXlab platform.

  • dlsfem pml formulation for the steady state response of a taut string on visco elastic support under moving load
    Meccanica, 2020
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, Antonio Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ - and $$H^1$$ -norms. Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.

  • DLSFEM–PML formulation for the steady-state response of a taut string on visco-elastic support under moving load
    Meccanica, 2019
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, António Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ L 2 - and $$H^1$$ H 1 -norms . Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.

Antonio Pinto Da Costa - One of the best experts on this subject based on the ideXlab platform.

  • dlsfem pml formulation for the steady state response of a taut string on visco elastic support under moving load
    Meccanica, 2020
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, Antonio Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ - and $$H^1$$ -norms. Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.

António Pinto Da Costa - One of the best experts on this subject based on the ideXlab platform.

  • DLSFEM–PML formulation for the steady-state response of a taut string on visco-elastic support under moving load
    Meccanica, 2019
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, António Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ L 2 - and $$H^1$$ H 1 -norms . Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.

Fernando M. F. Simões - One of the best experts on this subject based on the ideXlab platform.

  • dlsfem pml formulation for the steady state response of a taut string on visco elastic support under moving load
    Meccanica, 2020
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, Antonio Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ - and $$H^1$$ -norms. Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.

  • DLSFEM–PML formulation for the steady-state response of a taut string on visco-elastic support under moving load
    Meccanica, 2019
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, António Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ L 2 - and $$H^1$$ H 1 -norms . Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.

Egidio Rizzi - One of the best experts on this subject based on the ideXlab platform.

  • dlsfem pml formulation for the steady state response of a taut string on visco elastic support under moving load
    Meccanica, 2020
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, Antonio Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ - and $$H^1$$ -norms. Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.

  • DLSFEM–PML formulation for the steady-state response of a taut string on visco-elastic support under moving load
    Meccanica, 2019
    Co-Authors: Diego Froio, Egidio Rizzi, Fernando M. F. Simões, António Pinto Da Costa
    Abstract:

    The numerical solution of the steady-state response of a uniform taut string on visco-elastic support under a concentrated transverse moving load is addressed. By recasting the governing second-order differential equation as a first-order system in convected coordinate, a local Discontinuous Least-Squares Finite Element Method (DLSFEM) formulation is developed within a Complex-Valued Function space, to overcome numerical instabilities linked to high-velocity loads and handle far-field conditions through an effective Perfectly Matched Layer (PML) implementation. As an original advancement of the present DLSFEM–PML formulation, a coercivity theorem is proven for any first-order ordinary differential system and uniform error estimates are established for the finite element approximation for both $$L^2$$ L 2 - and $$H^1$$ H 1 -norms . Thus, the formulation newly joins a DLSFEM approach and a PML implementation, for solving the above-mentioned moving load problem. Numerical examples illustrate feasibility and accuracy of the method in reproducing the expected trends of solution and a priori error estimates.