• Corpus ID: 244896285

Fast $L^2$ optimal mass transport via reduced basis methods for the Monge-Amp$\grave{\rm e}$re equation

  title={Fast \$L^2\$ optimal mass transport via reduced basis methods for the Monge-Amp\$\grave\{\rm e\}\$re equation},
  author={Shi-Cheng Hou and Yanlai Chen and Yinhua Xia},
Repeatedly solving the parameterized optimal mass transport (pOMT) problem is a frequent task in applications such as image registration and adaptive grid generation. It is thus critical to develop a highly efficient reduced solver that is equally accurate as the full order model. In this paper, we propose such a machine learning-like method for pOMT by adapting a new reduced basis (RB) technique specifically designed for nonlinear equations, the reduced residual reduced over-collocation (R2… 



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