Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge--Ampère Equation

DOI10.1137/21M1463720MaRDI QIDQ5048577

Shijin Hou, Yanlai Chen, Yinhua Xia

Publication date: 16 November 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01878

zbMATH Keywords

reduced basis methodMonge-Ampère equationtransport boundarynarrow-stencil finite difference methodparameterized optimal mass transport problemreduced residual reduced over-collocation approach

Mathematics Subject Classification ID

Computational learning theory (68Q32) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear elliptic equations (35J60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Monge-Ampère equations (35J96) Transport equations (35Q49)

Related Items (1)

A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation

Uses Software

• redbKIT
• EMD
• Wasserstein GAN

Cites Work

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