Search Results for author: Timon Rabczuk

Found 14 papers, 3 papers with code

DCEM-PINNs: A deep complementary energy method for solid mechanics

1 code implementation3 Feb 2023 Yizheng Wang, Jia Sun, Timon Rabczuk, Yinghua Liu

The results demonstrate that DCEM outperforms DEM in terms of stress accuracy and efficiency and has an advantage in dealing with complex displacement boundary conditions, which is supported by theoretical analyses and numerical simulations.

Operator learning

Multigoal-oriented dual-weighted-residual error estimation using deep neural networks

no code implementations21 Dec 2021 Ayan Chakraborty, Thomas Wick, Xiaoying Zhuang, Timon Rabczuk

An efficient and easy to implement algorithm is developed to obtain a posteriori error estimate for multiple goal functionals by employing the dual-weighted residual approach, which is followed by the computation of both primal and adjoint solutions using the neural network.

Resistance-Time Co-Modulated PointNet for Temporal Super-Resolution Simulation of Blood Vessel Flows

no code implementations19 Nov 2021 Zhizheng Jiang, Fei Gao, Renshu Gu, Jinlan Xu, Gang Xu, Timon Rabczuk

In this paper, a novel deep learning framework is proposed for temporal super-resolution simulation of blood vessel flows, in which a high-temporal-resolution time-varying blood vessel flow simulation is generated from a low-temporal-resolution flow simulation result.

Super-Resolution

A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate

no code implementations4 Feb 2021 Hongwei Guo, Xiaoying Zhuang, Timon Rabczuk

In this paper, a deep collocation method (DCM) for thin plate bending problems is proposed.

A 55-line code for large-scale parallel topology optimization in 2D and 3D

1 code implementation15 Dec 2020 Abhinav Gupta, Rajib Chowdhury, Anupam Chakrabarti, Timon Rabczuk

This paper presents a 55-line code written in python for 2D and 3D topology optimization (TO) based on the open-source finite element computing software (FEniCS), equipped with various finite element tools and solvers.

Mathematical Software Computational Engineering, Finance, and Science Optimization and Control

Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates

no code implementations9 Oct 2020 Xiaoying Zhuang, Hongwei Guo, Naif Alajlan, Timon Rabczuk

In this paper, we present a deep autoencoder based energy method (DAEM) for the bending, vibration and buckling analysis of Kirchhoff plates.

Analysis of three dimensional potential problems in non-homogeneous media with physics-informed deep collocation method using material transfer learning and sensitivity analysis

no code implementations3 Oct 2020 Hongwei Guo, Xiaoying Zhuang, Pengwan Chen, Naif Alajlan, Timon Rabczuk

This approach utilizes a physics informed neural network with material transfer learning reducing the solution of the nonhomogeneous partial differential equations to an optimization problem.

Transfer Learning

Stochastic analysis of heterogeneous porous material with modified neural architecture search (NAS) based physics-informed neural networks using transfer learning

no code implementations3 Oct 2020 Hongwei Guo, Xiaoying Zhuang, Timon Rabczuk

In this work, a modified neural architecture search method (NAS) based physics-informed deep learning model is presented for stochastic analysis in heterogeneous porous material.

Neural Architecture Search Transfer Learning

High correlated variables creator machine: Prediction of the compressive strength of concrete

no code implementations11 Sep 2020 Aydin Shishegaran, Hessam Varaee, Timon Rabczuk, Gholamreza Shishegaran

HCVCM improves the accuracy of ANFIS by 5% in the coefficient of determination, 10% in RMSE, 3% in NMSE, 20% in MAPE, and 7% in the maximum negative error.

Shear Stress Distribution Prediction in Symmetric Compound Channels Using Data Mining and Machine Learning Models

no code implementations20 Dec 2019 Zohreh Sheikh Khozani, Khabat Khosravi, Mohammadamin Torabi, Amir Mosavi, Bahram Rezaei, Timon Rabczuk

Finally, the most powerful data mining method which studied in this research (RF) compared with two well-known analytical models of Shiono and Knight Method (SKM) and Shannon method to acquire the proposed model functioning in predicting the shear stress distribution.

BIG-bench Machine Learning

Transfer learning enhanced physics informed neural network for phase-field modeling of fracture

no code implementations4 Jul 2019 Somdatta Goswami, Cosmin Anitescu, Souvik Chakraborty, Timon Rabczuk

While most of the PINN algorithms available in the literature minimize the residual of the governing partial differential equation, the proposed approach takes a different path by minimizing the variational energy of the system.

Numerical Integration Transfer Learning

Particle swarm optimization model to predict scour depth around bridge pier

no code implementations26 May 2019 Shahaboddin Shamshirband, Amir Mosavi, Timon Rabczuk

To improve the efficiency of the proposed model, individual equations are derived for laboratory and field data.

regression

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