-
Notifications
You must be signed in to change notification settings - Fork 0
/
references.bib
446 lines (412 loc) · 17.4 KB
/
references.bib
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
%% This BibTeX bibliography file was created using BibDesk.
%% https://bibdesk.sourceforge.io/
%% Created for Lorena A Barba at 2023-07-13 18:29:28 -0400
%% Saved with string encoding Unicode (UTF-8)
@misc{chuang_barba_2023_fig12,
author = {Chuang, Pi-Yueh and Barba, Lorena A.},
date-added = {2023-07-13 18:28:09 -0400},
date-modified = {2023-07-13 18:29:22 -0400},
doi = {10.6084/m9.figshare.23680983},
howpublished = {Figshare},
title = {Predictive Limitations of Physics-Informed Neural Networks in Vortex Shedding: {Figure 12}},
year = {2023},
bdsk-url-1 = {https://doi.org/10.6084/m9.figshare.23680983}}
@misc{chuang_barba_2023_fig19,
author = {Chuang, Pi-Yueh and Barba, Lorena A.},
date-added = {2023-07-13 15:48:56 -0400},
date-modified = {2023-07-13 18:29:04 -0400},
doi = {10.6084/m9.figshare.23681085},
howpublished = {Figshare},
title = {Predictive Limitations of Physics-Informed Neural Networks in Vortex Shedding: {Figure 19}},
year = {2023}}
@article{karnakov_odil_2022,
author = {Karnakov, Petr and Litvinov, Sergey and Koumoutsakos, Petros},
title = "{Solving inverse problems in physics by optimizing a discrete loss: Fast and accurate learning without neural networks}",
journal = {PNAS Nexus},
volume = {3},
number = {1},
pages = {pgae005},
year = {2024},
month = {01},
issn = {2752-6542},
doi = {10.1093/pnasnexus/pgae005},
url = {https://doi.org/10.1093/pnasnexus/pgae005}}
@misc{grossmann_pinnvsfem_2023,
author = {Grossmann, Tamara G and Komorowska, Urszula Julia and Latz, Jonas and Sch{\"o}nlieb, Carola-Bibiane},
date-added = {2023-05-31 14:05:32 -0400},
date-modified = {2023-05-31 14:07:12 -0400},
howpublished = {arXiv preprint arXiv:2302.04107},
title = {Can physics-informed neural networks beat the finite element method?},
url = {https://arxiv.org/abs/2302.04107},
year = {2023},
bdsk-url-1 = {https://arxiv.org/abs/2302.04107}}
@article{jin_nsfnets_2021,
author = {Jin, Xiaowei and Cai, Shengze and Li, Hui and Karniadakis, George Em},
date-added = {2023-05-31 12:31:30 -0400},
date-modified = {2023-05-31 12:33:01 -0400},
doi = {10.1016/j.jcp.2020.109951},
journal = {Journal of Computational Physics},
pages = {109951},
publisher = {Elsevier},
title = {{NSFnets} ({Navier-Stokes} flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations},
url = {https://doi.org/10.1016/j.jcp.2020.109951},
volume = {426},
year = {2021},
bdsk-url-1 = {https://doi.org/10.1016/j.jcp.2020.109951}}
@article{fuks_limitations_2020,
author = {Fuks, Olga and Tchelepi, Hamdi A},
date-added = {2023-05-30 16:27:11 -0400},
date-modified = {2023-05-30 16:36:22 -0400},
doi = {10.1615/JMachLearnModelComput.2020033905},
journal = {Journal of Machine Learning for Modeling and Computing},
number = {1},
pages = {19--37},
publisher = {Begel House Inc.},
title = {Limitations of physics informed machine learning for nonlinear two-phase transport in porous media},
volume = {1},
year = {2020},
bdsk-url-1 = {https://doi.org/10.1615/JMachLearnModelComput.2020033905}}
@article{rohrhofer_fixedpoints_2023,
author = {Franz M. Rohrhofer and Stefan Posch and Clemens G{\"o}{\ss}nitzer and Bernhard C Geiger},
date-added = {2023-05-30 15:44:30 -0400},
date-modified = {2023-05-30 15:44:50 -0400},
issn = {2835-8856},
journal = {Transactions on Machine Learning Research},
title = {On the Role of Fixed Points of Dynamical Systems in Training Physics-Informed Neural Networks},
url = {https://openreview.net/forum?id=56cTmVrg5w},
year = {2023},
bdsk-url-1 = {https://openreview.net/forum?id=56cTmVrg5w}}
@inproceedings{krishnapriyan_failure_2021,
author = {Aditi Krishnapriyan and Amir Gholami and Shandian Zhe and Robert Kirby and Michael W. Mahoney},
booktitle = {Advances in Neural Information Processing Systems},
date-added = {2023-05-30 15:27:08 -0400},
date-modified = {2023-05-30 15:58:08 -0400},
editor = {A. Beygelzimer and Y. Dauphin and P. Liang and J. Wortman Vaughan},
title = {Characterizing possible failure modes in physics-informed neural networks},
url = {https://openreview.net/forum?id=a2Gr9gNFD-J},
year = {2021},
pages = {1--13},
bdsk-url-1 = {https://openreview.net/forum?id=a2Gr9gNFD-J}}
@phdthesis{chuang_thesis_2023,
author = {Chuang, Pi-Yueh},
date-added = {2023-05-26 11:41:01 -0400},
date-modified = {2023-05-26 12:22:03 -0400},
school = {The George Washington University},
title = {Feasibility Study of Physics-Informed Neural Network Modeling in Computational Fluid Dynamics},
year = {2023}}
@article{vinuesa_emerging_2022,
author = {Vinuesa, Ricardo and Brunton, Steven L},
date-added = {2023-05-23 17:21:16 -0400},
date-modified = {2023-05-23 17:22:18 -0400},
doi = {10.1109/MCSE.2023.3264340},
journal = {Computing in Science \& Engineering},
number = {5},
pages = {33--41},
publisher = {IEEE},
title = {Emerging trends in machine learning for computational fluid dynamics},
url = {https://doi.org/10.1109/MCSE.2023.3264340},
volume = {24},
year = {2022},
bdsk-url-1 = {https://doi.org/10.1109/MCSE.2023.3264340}}
@article{chuang_petibm_2018,
author = {Chuang, Pi-Yueh and Mesnard, Olivier and Krishnan, Anush and Barba, Lorena A.},
date-added = {2023-05-22 14:05:41 -0400},
date-modified = {2023-05-22 14:07:40 -0400},
doi = {10.21105/joss.00558},
journal = {J. Open Source Software},
number = {25},
pages = {558},
title = {{PetIBM}: toolbox and applications of the immersed-boundary method on distributed-memory architectures},
url = {https://doi.org/10.21105/joss.00558},
volume = {3},
year = {2018},
bdsk-url-1 = {https://doi.org/10.21105/joss.00558}}
@article{chen_variants_2012,
author = {Chen, Kevin K. and Tu, Jonathan H. and Rowley, Clarence W.},
doi = {10.1007/s00332-012-9130-9},
issn = {0938-8974, 1432-1467},
journal = {Journal of Nonlinear Science},
language = {en},
month = dec,
number = {6},
pages = {887--915},
shorttitle = {Variants of {Dynamic} {Mode} {Decomposition}},
title = {Variants of {Dynamic} {Mode} {Decomposition}: {Boundary} {Condition}, {Koopman}, and {Fourier} {Analyses}},
url = {http://link.springer.com/10.1007/s00332-012-9130-9},
urldate = {2022-11-29},
volume = {22},
year = {2012},
bdsk-url-1 = {http://link.springer.com/10.1007/s00332-012-9130-9},
bdsk-url-2 = {https://doi.org/10.1007/s00332-012-9130-9}}
@article{rowley_spectral_2009,
author = {Rowley, Clarence W. and Mezi{\'c}, Igor and Bagheri, Shervin and Schlatter, Philipp and Henningson, Dan S.},
doi = {10.1017/S0022112009992059},
issn = {0022-1120, 1469-7645},
journal = {Journal of Fluid Mechanics},
language = {en},
month = dec,
pages = {115--127},
title = {Spectral analysis of nonlinear flows},
url = {https://www.cambridge.org/core/product/identifier/S0022112009992059/type/journal_article},
urldate = {2022-11-10},
volume = {641},
year = {2009},
bdsk-url-1 = {https://www.cambridge.org/core/product/identifier/S0022112009992059/type/journal_article},
bdsk-url-2 = {https://doi.org/10.1017/S0022112009992059}}
@inproceedings{rahaman_spectral_2019,
author = {Rahaman, Nasim and Baratin, Aristide and Arpit, Devansh and Draxler, Felix and Lin, Min and Hamprecht, Fred and Bengio, Yoshua and Courville, Aaron},
booktitle = {Proceedings of the 36th {International} {Conference} on {Machine} {Learning}},
editor = {Chaudhuri, Kamalika and Salakhutdinov, Ruslan},
month = jun,
pages = {5301--5310},
publisher = {PMLR},
series = {Proceedings of {Machine} {Learning} {Research}},
title = {On the {Spectral} {Bias} of {Neural} {Networks}},
url = {https://proceedings.mlr.press/v97/rahaman19a.html},
volume = {97},
year = {2019},
bdsk-url-1 = {https://proceedings.mlr.press/v97/rahaman19a.html}}
@article{rosetti_urans_2012,
author = {Rosetti, Guilherme F. and Vaz, Guilherme and Fujarra, Andr{\'e} L. C.},
doi = {10.1115/1.4007571},
issn = {0098-2202, 1528-901X},
journal = {Journal of Fluids Engineering},
language = {en},
month = dec,
number = {12},
pages = {121103},
shorttitle = {{URANS} {Calculations} for {Smooth} {Circular} {Cylinder} {Flow} in a {Wide} {Range} of {Reynolds} {Numbers}},
title = {{URANS} {Calculations} for {Smooth} {Circular} {Cylinder} {Flow} in a {Wide} {Range} of {Reynolds} {Numbers}: {Solution} {Verification} and {Validation}},
url = {https://asmedigitalcollection.asme.org/fluidsengineering/article/doi/10.1115/1.4007571/372953/URANS-Calculations-for-Smooth-Circular-Cylinder},
urldate = {2022-08-23},
volume = {134},
year = {2012},
bdsk-url-1 = {https://asmedigitalcollection.asme.org/fluidsengineering/article/doi/10.1115/1.4007571/372953/URANS-Calculations-for-Smooth-Circular-Cylinder},
bdsk-url-2 = {https://doi.org/10.1115/1.4007571}}
@article{sen_steady_2009,
author = {Sen, Subhankar and Mittal, Sanjay and Biswas, Gautam},
doi = {10.1017/S0022112008004904},
issn = {0022-1120, 1469-7645},
journal = {Journal of Fluid Mechanics},
language = {en},
month = feb,
pages = {89--119},
title = {Steady separated flow past a circular cylinder at low {Reynolds} numbers},
url = {https://www.cambridge.org/core/product/identifier/S0022112008004904/type/journal_article},
urldate = {2020-07-11},
volume = {620},
year = {2009},
bdsk-url-1 = {https://www.cambridge.org/core/product/identifier/S0022112008004904/type/journal_article},
bdsk-url-2 = {https://doi.org/10.1017/S0022112008004904}}
@article{park_numerical_1998,
author = {Park, Jeongyoung and Kwon, Kiyoung and Choi, Haecheon},
doi = {10.1007/BF02942594},
issn = {1226-4865},
journal = {KSME International Journal},
keywords = {proposal},
language = {en},
month = nov,
number = {6},
pages = {1200--1205},
title = {Numerical solutions of flow past a circular cylinder at {Reynolds} numbers up to 160},
url = {http://link.springer.com/10.1007/BF02942594},
urldate = {2020-07-11},
volume = {12},
year = {1998},
bdsk-url-1 = {http://link.springer.com/10.1007/BF02942594},
bdsk-url-2 = {https://doi.org/10.1007/BF02942594}}
@article{tritton_experiments_1959,
author = {Tritton, D. J.},
doi = {10.1017/S0022112059000829},
issn = {0022-1120, 1469-7645},
journal = {Journal of Fluid Mechanics},
keywords = {proposal},
language = {en},
month = nov,
number = {4},
pages = {547--567},
title = {Experiments on the flow past a circular cylinder at low {Reynolds} numbers},
url = {https://www.cambridge.org/core/product/identifier/S0022112059000829/type/journal_article},
urldate = {2020-09-18},
volume = {6},
year = {1959},
bdsk-url-1 = {https://www.cambridge.org/core/product/identifier/S0022112059000829/type/journal_article},
bdsk-url-2 = {https://doi.org/10.1017/S0022112059000829}}
@article{grove_experimental_1964,
author = {Grove, A. S. and Shair, F. H. and Petersen, E. E.},
doi = {10.1017/S0022112064000544},
issn = {0022-1120, 1469-7645},
journal = {Journal of Fluid Mechanics},
keywords = {proposal},
language = {en},
month = may,
number = {1},
pages = {60--80},
title = {An experimental investigation of the steady separated flow past a circular cylinder},
url = {https://www.cambridge.org/core/product/identifier/S0022112064000544/type/journal_article},
urldate = {2020-09-18},
volume = {19},
year = {1964},
bdsk-url-1 = {https://www.cambridge.org/core/product/identifier/S0022112064000544/type/journal_article},
bdsk-url-2 = {https://doi.org/10.1017/S0022112064000544}}
@article{deng_hydrodynamic_2007,
author = {Deng, Jian and Shao, Xue-Ming and Yu, Zhao-Sheng},
doi = {10.1063/1.2814259},
issn = {1070-6631, 1089-7666},
journal = {Physics of Fluids},
keywords = {validation, cylinder flow},
language = {en},
month = nov,
number = {11},
pages = {113104},
title = {Hydrodynamic studies on two traveling wavy foils in tandem arrangement},
url = {http://aip.scitation.org/doi/10.1063/1.2814259},
urldate = {2022-05-23},
volume = {19},
year = {2007},
bdsk-url-1 = {http://aip.scitation.org/doi/10.1063/1.2814259},
bdsk-url-2 = {https://doi.org/10.1063/1.2814259}}
@article{Rajani2009,
annote = {arXiv: DOI: 10.1002/fld.1 Publisher: Elsevier Inc. ISBN: 02712091 10970363},
author = {Rajani, B.N. and Kandasamy, A. and Majumdar, Sekhar},
doi = {10.1016/j.apm.2008.01.017},
issn = {0307904X},
journal = {Applied Mathematical Modelling},
month = mar,
note = {arXiv: DOI: 10.1002/fld.1 Publisher: Elsevier Inc. ISBN: 02712091 10970363},
number = {3},
pages = {1228--1247},
pmid = {18628456},
title = {Numerical simulation of laminar flow past a circular cylinder},
url = {http://dx.doi.org/10.1016/j.apm.2008.01.017},
volume = {33},
year = {2009},
bdsk-url-1 = {http://dx.doi.org/10.1016/j.apm.2008.01.017}}
@article{gushchin_numerical_1974,
author = {Gushchin, V.A. and Shchennikov, V.V.},
doi = {10.1016/0041-5553(74)90061-5},
issn = {00415553},
journal = {USSR Computational Mathematics and Mathematical Physics},
language = {en},
month = jan,
number = {2},
pages = {242--250},
title = {A numerical method of solving the navier-stokes equations},
url = {https://linkinghub.elsevier.com/retrieve/pii/0041555374900615},
urldate = {2022-05-26},
volume = {14},
year = {1974},
bdsk-url-1 = {https://linkinghub.elsevier.com/retrieve/pii/0041555374900615},
bdsk-url-2 = {https://doi.org/10.1016/0041-5553(74)90061-5}}
@article{fornberg_numerical_1980,
author = {Fornberg, Bengt},
doi = {10.1017/S0022112080000419},
issn = {0022-1120},
journal = {Journal of Fluid Mechanics},
month = jun,
number = {04},
pages = {819},
title = {A numerical study of steady viscous flow past a circular cylinder},
url = {http://www.journals.cambridge.org/abstract_S0022112080000419},
volume = {98},
year = {1980},
bdsk-url-1 = {http://www.journals.cambridge.org/abstract_S0022112080000419},
bdsk-url-2 = {https://doi.org/10.1017/S0022112080000419}}
@article{jeong_identification_1995,
author = {Jeong, Jinhee and Hussain, Fazle},
doi = {10.1017/S0022112095000462},
issn = {0022-1120, 1469-7645},
journal = {Journal of Fluid Mechanics},
langid = {english},
month = feb,
pages = {69--94},
shortjournal = {J. Fluid. Mech.},
title = {On the identification of a vortex},
urldate = {2022-11-29},
volume = {285},
year = {1995},
bdsk-url-1 = {https://doi.org/10.1017/S0022112095000462}}
@article{dissanayake_neural-network-based_1994,
author = {Dissanayake, M. W. M. G. and Phan-Thien, N.},
date = {1994-03},
date-modified = {2023-05-22 13:12:46 -0400},
doi = {10.1002/cnm.1640100303},
issn = {10698299},
journal = {Communications in Numerical Methods in Engineering},
langid = {english},
number = {3},
pages = {195--201},
shortjournal = {Commun. Numer. Meth. Engng.},
title = {Neural-network-based approximations for solving partial differential equations},
url = {https://onlinelibrary.wiley.com/doi/10.1002/cnm.1640100303},
urldate = {2022-07-04},
volume = {10},
year = {1994},
bdsk-url-1 = {https://onlinelibrary.wiley.com/doi/10.1002/cnm.1640100303},
bdsk-url-2 = {https://doi.org/10.1002/cnm.1640100303}}
@article{lagaris_artificial_1998,
author = {Lagaris, I. E. and Likas, A. and Fotiadis, D. I.},
date = {1998-09},
date-modified = {2023-05-22 13:13:26 -0400},
doi = {10.1109/72.712178},
eprint = {physics/9705023},
eprinttype = {arxiv},
issn = {10459227},
journal = {{IEEE} Transactions on Neural Networks},
journaltitle = {{IEEE} Transactions on Neural Networks},
langid = {english},
number = {5},
pages = {987--1000},
shortjournal = {{IEEE} Trans. Neural Netw.},
title = {Artificial neural networks for solving ordinary and partial differential equations},
url = {http://ieeexplore.ieee.org/document/712178/},
urldate = {2020-01-20},
volume = {9},
year = {1998},
bdsk-url-1 = {http://ieeexplore.ieee.org/document/712178/},
bdsk-url-2 = {https://doi.org/10.1109/72.712178}}
@article{cai_physics-informed_2021,
author = {Cai, Shengze and Mao, Zhiping and Wang, Zhicheng and Yin, Minglang and Karniadakis, George Em},
date = {2021-12},
year = {2021},
doi = {10.1007/s10409-021-01148-1},
issn = {0567-7718, 1614-3116},
journal = {Acta Mechanica Sinica},
langid = {english},
number = {12},
pages = {1727--1738},
shortjournal = {Acta Mech. Sin.},
shorttitle = {Physics-informed neural networks ({PINNs}) for fluid mechanics},
title = {Physics-informed neural networks ({PINNs}) for fluid mechanics: a review},
url = {https://link.springer.com/10.1007/s10409-021-01148-1},
urldate = {2022-06-28},
volume = {37},
bdsk-url-1 = {https://link.springer.com/10.1007/s10409-021-01148-1},
bdsk-url-2 = {https://doi.org/10.1007/s10409-021-01148-1}}
@inproceedings{griewank_automatic_1988,
author = {Griewank, Andreas},
booktitle = {Mathematical Programming: Recent Developments and Applications},
date = {1988-08-29},
eventtitle = {The 13th International Symposium on Mathematical Programming},
isbn = {978-0-7923-0490-6},
langid = {english},
location = {Tokyo, Japan},
pages = {83--107},
publisher = {Springer Netherlands},
series = {Mathematics and its Applications},
title = {On automatic differentiation},
year = {1988},
volume = {6}}
@inproceedings{chuang_experience_2022,
address = {Austin, Texas},
author = {Chuang, Pi-Yueh and Barba, Lorena},
doi = {10.25080/majora-212e5952-005},
pages = {28--36},
shorttitle = {Experience report of physics-informed neural networks in fluid simulations},
title = {Experience report of physics-informed neural networks in fluid simulations: pitfalls and frustration},
booktitle = {Proceedings of the 21st {Python} in {Science} {Conference}},
url = {https://conference.scipy.org/proceedings/scipy2022/PiYueh_Chuang.html},
urldate = {2022-08-18},
year = {2022},
bdsk-url-1 = {https://conference.scipy.org/proceedings/scipy2022/PiYueh_Chuang.html},
bdsk-url-2 = {https://doi.org/10.25080/majora-212e5952-005}}