Deep mixed residual method for solving PDE-constrained optimization problems (Q6663447)

scientific article; zbMATH DE number 7967268

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English	Deep mixed residual method for solving PDE-constrained optimization problems	scientific article; zbMATH DE number 7967268

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instance of

scholarly article

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title

Deep mixed residual method for solving PDE-constrained optimization problems (English)

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14 January 2025

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zbMATH Keywords

PDE constrained optimization

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mixed residual method

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physics-informed neural network

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MaRDI profile type

Publication

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cites work

Real-Time PDE-Constrained Optimization

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An extended physics informed neural network for preliminary analysis of parametric optimal control problems

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Neural network approximation

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Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

0 references

The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

0 references

Heat transfer optimization in corrugated wall channels

0 references

Failure-Informed Adaptive Sampling for PINNs

0 references

Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization

0 references

Solving many-electron Schrödinger equation using deep neural networks

0 references

Solving high-dimensional partial differential equations using deep learning

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Algorithms for PDE-constrained optimization

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Optimization with PDE Constraints

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A priori error estimate of deep mixed residual method for elliptic PDEs

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DeLISA: deep learning based iteration scheme approximation for solving PDEs

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Q5601627

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A priori error estimates of Crank-Nicolson finite volume element method for a hyperbolic optimal control problem

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Iterative surrogate model optimization (ISMO): an active learning algorithm for PDE constrained optimization with deep neural networks

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MIM: a deep mixed residual method for solving high-order partial differential equations

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Optimal control of PDEs using physics-informed neural networks

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The use of physics-informed neural network approach to image restoration via nonlinear PDE tools

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Deep learning of vortex-induced vibrations

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Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

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Numerical PDE-Constrained Optimization

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DGM: a deep learning algorithm for solving partial differential equations

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Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data

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Q3558349

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Weak adversarial networks for high-dimensional partial differential equations

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Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons

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published in

Computers & Mathematics with Applications

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAMWA.2024.11.009

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Sitelinks

Mathematics(1 entry)

mardi Publication:6663447