کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5470829 | 1519380 | 2018 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A model-order reduction method based on wavelets and POD to solve nonlinear transient and steady-state continuation problems
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
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چکیده انگلیسی
We introduce a wavelet-based model-order reduction method (MOR) that provides an alternative subspace to Proper Orthogonal Decomposition (POD). We thus compare the wavelet and POD-based approaches for reducing high-dimensional nonlinear transient and steady-state continuation problems. We employ a global regularized Gauss-Newton (GN) algorithm for solving zero-residual problems on a reduced subspace. We rediscover that this latter is just a generalization of the Petrov-Galerkin method (PG) which retains GN's fast convergence rate. Numerical results included herein indicate that wavelet-based method is competitive with POD, for small rank systems (â¯ââ¯100) and compression ratios below 25% while POD achieves up to 90%. Full-order-model (FOM) results demonstrate that the proposed PGGN algorithm outperforms the standard PG method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 53, January 2018, Pages 12-31
Journal: Applied Mathematical Modelling - Volume 53, January 2018, Pages 12-31
نویسندگان
Horacio Flórez, Miguel Argáez,