Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks

In this paper, we introduce a new approach based on distance fields to exactly impose boundary conditions in physics-informed deep neural networks. The challenges in satisfying Dirichlet boundary conditions in meshfree and particle methods are well-known. This issue is also pertinent in the developm...

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Vydáno v:	Computer methods in applied mechanics and engineering Ročník 389; s. 114333
Hlavní autoři:	Sukumar, N., Srivastava, Ankit
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 01.02.2022 Elsevier BV
Témata:	Artificial neural networks Bending Biharmonic equations Boundary conditions Boundary value problems Collocation methods Constructive solid geometry Deep learning Differential geometry Dirichlet problem Distance function Domains Eikonal equation Exact geometry Geometry Hypercubes Interpolation Laplace equation Machine learning Meshfree method Meshless methods Neural networks Partial differential equations Physics Potential fields R-function Ritz method Thermodynamics Training Transfinite interpolation Deep learning Exact geometry Meshfree method Distance function R-function Transfinite interpolation
ISSN:	0045-7825, 1879-2138
On-line přístup:	Získat plný text
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