Solving time-dependent parametric PDEs by multiclass classification-based reduced order model

Published: Nov 11, 2021
Abstract
In this paper, we propose a network model, the multiclass classification-based reduced order model (MC-ROM), for solving time-dependent parametric partial differential equations (PPDEs). This work is inspired by the observation of applying the deep learning-based reduced order model (DL-ROM) to solve diffusion-dominant PPDEs. We find that the DL-ROM has a good approximation for some special model parameters, but it cannot approximate the drastic...
Paper Details
Title
Solving time-dependent parametric PDEs by multiclass classification-based reduced order model
Published Date
Nov 11, 2021
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