MIM: A deep mixed residual method for solving high-order partial differential equations-Reference-Cited by-同舟云学术

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

Published:2022-03 Issue: Volume:452 Page:110930
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Lyu Liyao,Zhang Zhen,Chen Minxin,Chen Jingrun

Funder

National Natural Science Foundation of China

National Key Research and Development Program of China

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference42 articles.

1. Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems;LeVeque,2007

2. Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics;Elman,2014

3. Discontinuous Galerkin Methods - Theory, Computation and Applications;Cockburn,2000

4. Spectral Methods: Algorithms, Analysis and Applications, Vol. 41;Shen,2011

5. The Principles of Quantum Mechanics. Number 27;Adrien,1981

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