In engineering most partial differential equations are solved using numerical methods. Throughout the years finite element method emerged as the most widely used numerical technique to obtain discrete solutions to partial differential equations. An alternative method to the finite element method is the boundary element method. In boundary element formulation the domain variables are transformed to boundary variables using Green's functions of the partial differential equations. The uncertainty in the solutions to boundary values in boundary element method has been studied using interval approach. Interval treatment of the uncertainty in boundary conditions, integration, truncation, and discretization errors has been developed. In this work local discretization error is computed for the problems exhibiting singular flux. Example is shown demonstrating the behavior of the worst case bounds on the discretization error in the presence of singular solutions.


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    Title :

    Interval Bounds on the Local Discretizaton Error in Boundary Element Analysis for Domains with Singular Flux


    Additional title:

    Sae Technical Papers


    Contributors:

    Conference:

    SAE World Congress & Exhibition ; 2008



    Publication date :

    2008-04-14




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English




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    Zalewski, B.F. / Mullen, R.L. / Society of Automotive Engineers | British Library Conference Proceedings | 2008


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    Zalewski,B.F. / Mullen,R.L. / Case Western Reserve Univ.,US | Automotive engineering | 2008



    Discretizaton Error in Boundary Element Analysis using Interval Methods

    Zalewski, Bart F. / Mullen, Robert L. | SAE Technical Papers | 2007


    Discretizaton Error in Boundary Element Analysis using Interval Methods

    Zalewski, B. F. / Mullen, R. L. / Society of Automotive Engineers | British Library Conference Proceedings | 2007