NVIDIA Modulus: Advanced Topics

所在平台: Udemy

课程主页: https://www.udemy.com/course/nvidia-modulus-advanced-topics/

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**课程名称:NVIDIA Modulus:高级主题** **课程概述:** 本课程深入探讨利用NVIDIA Modulus解决偏微分方程(PDE)的高级主题。您将学习到: * **反向物理信息神经网络 (I-PINNs):** 掌握其数学原理,并通过解决2D散热器流动问题进行实践。 * **深度神经算子网络 (DeepONet):** 理解其工作原理,并应用于积分问题。 * **基于傅里叶神经算子 (FNO) 的深度神经算子网络:** 学习如何使用FNO处理Darcy问题。 * **3D线性弹性问题中的PINNs:** 掌握利用PINNs解决此类复杂物理问题的技术。 * **3D多域计算中的PINNs:** 学习如何处理多物理场和多区域耦合问题。 * **3D几何优化中的PINNs:** 应用PINNs技术优化换热器流动问题中的几何结构。 **您将学到的技能:** * 深入理解解决PDEs的PINNs、I-PINNs、DeepONet以及FNO、多域计算和几何优化的数学基础。 * 使用NVIDIA Modulus编写和构建用于解决PINNs问题的机器学习算法。 * 掌握结果的后处理方法。 * 学会数据预处理并将其加载到NVIDIA Modulus中。 * 熟练使用开源库。 **课程亮点:** 本课程将通过解决一系列实际问题来实践所学知识,包括: * 反向PINNs解决2D散热器流动问题。 * DeepONet解决积分问题。 * FNO解决Darcy问题。 * PINNs解决3D线性弹性问题。 * PINNs解决3D流固耦合多域计算问题。 * PINNs解决3D换热器流动问题几何优化。 **先修知识:** 如果您没有机器学习或计算工程的经验,不必担心。但建议您具备NVIDIA Modulus的基础使用和代码运行知识。 让我们一起愉快地学习NVIDIA Modulus!

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DescriptionThis course is related with Advanced topics related with PINNs using NVIDIA Modulus. We will cover the topics of Inverse PINNs, Deep Neural Operator Network with DeepONet, Deep Neural Operator Network using Fourier Neural Operator (FNO), PINN for 3D Linear Elasticity Problem, PINNs for Multi Domain Calculation, and Geometric Optimization using PINNs.What skills will you Learn:In this course, you will learn the following skills:Understand the Math behind solving partial differential equations (PDEs) with PINNs, I-PINNs, Deep Neural Operator Network for DeepONet, along with FNO, Multi Domain Calculation and finally Geometric Optimization using PINNs.Write and build Machine Learning Algorithms to solve PINNs using Nvidia Modulus.Postprocess the results.Pre-process the data and upload it to Nvidia Modulus.Use opensource libraries.We will cover:Inverse Physics-Informed Neural Networks (I-PINNs) Solution for 2D heat sink flow problem.Deep Neural Operator Network (DeepONet) Solution for Integration problem.Deep Neural Operator Network Fourier Neural Operator (FNO) Solution for Darcy problem.Physics-Informed Neural Networks (PINNs) Solution for 3D Linear Elasticity Problem.Physics-Informed Neural Networks (PINNs) Solution for 3D Fluid/ Solid Multi Domain Calculation.Physics-Informed Neural Networks (PINNs) Solution for 3D Geometric Optimization for Heat Exchanger Flow Problem.If you do not have prior experience in Machine Learning or Computational Engineering, that's no problem. However it is recommended to have knowledge in the basics of the use and code running using Nvidia Modulus. Let's enjoy Learning Nvidia Modulus together.

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