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Some Fast Solvers for Poroelastic Models

Faculty #44
Discipline: Mathematics & Statistics
Subcategory: STEM Research
- Morgan State University


Poroelastic models have been widely used in Biomechanics. For example, modeling brain edema and cancellous bones. We aim at solving the Biot model under the MAC Finite Difference discretization and the stabilized finite element discretizations. To solve the resulting saddle point linear systems, some iterative methods are proposed and compared. In these methods, the inner solvers are preconditioners for the generalized saddle point problem. In the preconditioners, the Schur complement approximation is derived by using Fourier analysis approach. Extensive experiments are given to justify the performance of the proposed preconditioners and to compare all the algorithms.

Funder Acknowledgement(s): NSF HBCU-UP Research Initiation Award through HRD1700328 and NIH BUILD grants through ASCEND Pilot project

Faculty Advisor: None Listed,

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This material is based upon work supported by the National Science Foundation (NSF) under Grant No. DUE-1930047. Any opinions, findings, interpretations, conclusions or recommendations expressed in this material are those of its authors and do not represent the views of the AAAS Board of Directors, the Council of AAAS, AAAS’ membership or the National Science Foundation.

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