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| 1 | Physics-informed neural networks(PINNs)for fluidmechanics:a review显示文摘Despite the significant progress over the last 50 years in simulating flow problems using numerical discretization of the Navier–Stokes equations(NSE),we still cannot incorporate seamlessly noisy data into existing algorithms,mesh-generation is complex,and we cannot tackle high-dimensional problems governed by parametrized NSE.Moreover,solving inverse flow problems is often prohibitively expensive and requires complex and expensive formulations and new computer codes.Here,we review flow physics-informed learning,integrating seamlessly data and mathematical models,and implement them using physics-informed neural networks(PINNs).We demonstrate the effectiveness of PINNs for inverse problems related to three-dimensional wake flows,supersonic flows,and biomedical flows. | Shengze Cai Zhiping Mao Zhicheng Wang Minglang Yin George Em Karniadakis | 2021 | Acta Mechanica Sinica2021，37，12： | 7 |
| 2 | Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos显示文摘 | Dongbin Xiu George Em Karniadakis | 2002 | Computer Methods in Applied Mechanics and Engineering2002，，43： | 2 |
| 3 | Learning two-phase microstructure evolution using neural operators and autoencoder architectures显示文摘Phase-field modeling is an effective but computationally expensive method for capturing the mesoscale morphological and microstructure evolution in materials.Hence,fast and generalizable surrogate models are needed to alleviate the cost of computationally taxing processes such as in optimization and design of materials.The intrinsic discontinuous nature of the physical phenomena incurred by the presence of sharp phase boundaries makes the training of the surrogate model cumbersome.We develop a framework that integrates a convolutional autoencoder architecture with a deep neural operator(DeepONet)to learn the dynamic evolution of a two-phase mixture and accelerate time-to-solution in predicting the microstructure evolution.We utilize the convolutional autoencoder to provide a compact representation of the microstructure data in a low-dimensional latent space.After DeepONet is trained in the latent space,it can be used to replace the high-fidelity phase-field numerical solver in interpolation tasks or to accelerate the numerical solver in extrapolation tasks. | Vivek Oommen Khemraj Shukla Somdatta Goswami Rémi Dingreville George Em Karniadakis | 2022 | npj Computational Materials2022，，1： | 2 |
| 4 | Ebola hemorrhagic fever outbI~aks in Gabon, 1994-1997: epidemiologic and health control issues显示文摘 | Georges A J Leroy EM Renaut AA | 1999 | J Infect Dis1999，179，1： | 1 |
| 5 | Cortical language activation in stroke patients recovering from aphasia with functional MRI显示文摘 | Vikingstad EM George KP | 1999 | Stroke1999，30，： | 1 |
| 6 | Endothelin:key mediator of hypertension in preeclampsia显示文摘 | GEORGE EM GRANGER JP | | 0，，09： | 1 |
| 7 | Heme oxygenase inhibition increases blood pressure in pregnant rats显示文摘 | George EM Hosick PA Stec DE | 2013 | Am J Hypertens2013，26，7： | 1 |
| 8 | Endothelin: key mediator of hypertension in preeclampsia 显示文摘 | George EM Granger JP | 2012 | Am J Hypertens2012，24，9： | 1 |
| 9 | Cortical language activation in stroke patients recovering from aphasia with functional MRI显示文摘 | Cao Y Vikingstad EM George KP | 1999 | Stroke1999，30，11： | 1 |
| 10 | Induction of heme oxygenase- 1 shifts the balance from proinjury to prosurvival in the placen- tas of pregnant rats with reduced uterine perfusion pressure显示文摘 | George EM Arany I | 2012 | Am J Physiol Regul Integr Comp Physiol2012，302，5： | 1 |
| 11 | Effects of multidisciplinary team working on breast cancer survival: retrospective, comparative, interventional cohort study of 13 722 women显示文摘 | Kesson EM Allardice GM George WD | 2012 | BMJ2012，344，： | 1 |
| 12 | Modeling uncertainty in flow simulations via generalized polynomial chaos显示文摘 | Dongbin Xiu George Em Karniadakis | 2003 | Journal of Computational Physics2003，，1： | 1 |
| 13 | Induction of heine oxygenase 1 attenu- ates placental ischemia-induced hypertension 显示文摘 | George EM Cockrell K Aranay M Csongradi E Stec DE Granger JP | 2011 | Hyperten- sion2011，57，5： | 1 |
| 14 | Cost implications of aortic counterpulsation in acute myocardial infarction:results from a randomized clinical trial显示文摘 | Talley JD Ohman EM George BS | 1995 | J Am Coll Cardiol1995，25，： | 1 |
| 15 | Positive Aspects of Fathering and Mothering, and Children'sAttaehment in Kin- dergarten显示文摘 | George MR Cummings EM Davies PT | 2010 | Early Child Dev Care2010，180，12： | 1 |
| 16 | Endothelin: key mediator of hypertension in preeclampsia显示文摘 | George EM Granger JP | 2011 | Am J Hypertens2011，24，9： | 1 |
| 17 | Mechanisms and potential therapies for preeclampsia显示文摘 | George EM Granger JP | 2011 | Curr Hypertens Rep2011，13，： | 1 |
| 18 | Recent advances in the understanding of the pathophysiology of preeclampsia显示文摘 | Warrington JP George EM Palei AC | 2013 | Hy- pertension2013，62，4： | 1 |
| 19 | Recent insights into the pathnphysiology of pre- eclampsia 显示文摘 | George EM Granger JP | 2010 | Expert Rev Obstet Gynecol2010，5，5： | 1 |
| 20 | The use of an intraaortic balloon pumping as an adjunct to reperfusion therapy in acute myo- cardial infarction: the Thmmbolysis and Angioplasty in Myocardial Infarction(TAMI) Study Group 显示文摘 | Ohman EM Califf RM George BS | 1991 | Am Heart J1991，121，5： | 1 |
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