2019/11/19 by Peter Benner, Thomas Richter, Benner, Peter +3
Engineering · Mathematics · Physics and Astronomy · #15A69 (Primary) 49M15 #65M22 (Secondary) #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques #Statistical and numerical algorithms
paper · pdf · doi:10.48550/arxiv.1911.08193
openalex publication_date 2019/11/19 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Parameter-dependent discretizations of linear fluid-structure interaction\nproblems can be approached with low-rank methods. When discretizing with\nrespect to a set of parameters, the resulting equations can be translated to a\nmatrix equation since all operators involved are linear. If nonlinear FSI\nproblems are considered, a direct translation to a matrix equation is not\npossible. We present a method that splits the parameter set into disjoint\nsubsets and, on each subset, computes an approximation of the problem related\nto the upper median parameter by means of the Newton iteration. This\napproximation is then used as initial guess for one Newton step on a subset of\nproblems.\n