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physics.comp-ph2021★ 8 cited
Discretization-independent surrogate modeling over complex geometries using hypernetworks and implicit representations
James Duvall, Karthik Duraisamy, Shaowu Pan
Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale…
physics.comp-ph2019★ 1.1k cited
Surrogate Modeling for Fluid Flows Based on Physics-Constrained Deep Learning Without Simulation Data
Luning Sun, Han Gao, Shaowu Pan +1
Numerical simulations on fluid dynamics problems primarily rely on spatially or/and temporally discretization of the governing equation into the finite-dimensional algebraic system…