1,720,983 research outputs found

    Parallel Newton methods for sparse systems of nonlinear equations

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    A parallel code based on Cimmino-like preconditioner is developed for the solution of the Newton linearized system

    A convolution model for the solution of the flow equation in multi-layered soils

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    In this paper the vertical flow equation in porous multi-layered soils is solved. The model makes use of the single-layer analitical solution expressed through convolution integrals. The N-layer case is solved by representing the unknown functions at the interfaces by constant piecewice approximations and setting (N-1) continuity conditions on the flow rate between two adjacent layers. A tridiagonal symmetric system of (N-1) linear equations is thus obtained and readily solved. Some numerical results are given, to show the accuracy and the efficiency of the convolution approach

    FEMBOUS a finite element code for the solution of the Boussinesq equation

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    The code FEMBOUS has been originally implemented on a IBM 3033 computer. It is written in Fortran Language. Comparisons of numerical solutions with analytical ones show the accuracy of the employed algorithm. Small memory requirements and short calculation time are realised. The linear systems involved are actually very efficiently solved. The code has a great flexibility. The user can easily modify the code, adpting it to the problems requirements
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