Deep Domain Decomposition Methods: Helmholtz Equation
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Publication:5045688
DOI10.4208/aamm.OA-2021-0305OpenAlexW4307272152MaRDI QIDQ5045688
Tao Cui, Xueshuang Xiang, Wuyang Li, Yingxiang Xu, Ziming Wang
Publication date: 7 November 2022
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2021-0305
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Composite media; random media in optics and electromagnetic theory (78A48) PDEs in connection with computer science (35Q68)
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- A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation
- A perfectly matched layer for the absorption of electromagnetic waves
- A domain decomposition method for the Helmholtz equation and related optimal control problems
- The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems
- DGM: a deep learning algorithm for solving partial differential equations
- Domain decomposition methods with fundamental solutions for Helmholtz problems with discontinuous source terms
- An efficient neural network method with plane wave activation functions for solving Helmholtz equation
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- A robust domain decomposition method for the Helmholtz equation with high wave number
- A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
- Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
- FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
- An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation
- Updating Quasi-Newton Matrices with Limited Storage
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
- Optimized Schwarz Methods without Overlap for the Helmholtz Equation
- A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions
- Reynolds averaged turbulence modelling using deep neural networks with embedded invariance
- Convergence and efficiency of subgradient methods for quasiconvex minimization
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