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Award ID contains: 1818842

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  1. ; ; (, International Journal for Numerical Methods in Fluids)
    Summary Numerical methods are proposed for the nonlinear Stokes‐Biot system modeling interaction of a free fluid with a poroelastic structure. We discuss time discretization and decoupling schemes that allow the fluid and the poroelastic structure computed independently using a common stress force along the interface. The coupled system of nonlinear Stokes and Biot is formulated as a least‐squares problem with constraints, where the objective functional measures violation of some interface conditions. The local constraints, the Stokes and Biot models, are discretized in time using second‐order schemes. Computational algorithms for the least‐squares problems are discussed and numerical results are provided to compare the accuracy and efficiency of the algorithms. 
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  2. ; (, International journal of numerical analysis and modeling)
    Accepted Manuscript Full Text Available
  3. (, Applied mathematics and computation)
    Accepted Manuscript Full Text Available
  4. ; (, Journal of Scientific Computing)
    null (Ed.)
    Full Text Available 
  5. ; (, International Journal of Computer Mathematics)
    null (Ed.)
    Full Text Available 
  6. ; (, Electronic Research Archive)
    null (Ed.)
    Full Text Available