Variational system identification of the partial differential equations governing microstructure evolution in materials: Inference over sparse and spatially unrelated data

Pattern formation is a widely observed phenomenon in diverse fields including materials physics, developmental biology and ecology, among many others. The physics underlying the patterns is specific to the mechanisms, and is encoded by partial differential equations (PDEs). With the aim of discoveri...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 377; p. 113706
Main Authors:	Wang, Z., Huan, X., Garikipati, K.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 15.04.2021 Elsevier BV
Subjects:	Acceptance Boundary value problems Developmental biology Domains Evolution Identification methods Incomplete data Inference Inverse problems Mathematical analysis Microscopy Microstructure Operators (mathematics) Partial differential equations Pattern formation Photomicrographs Physics System identification Temporal resolution Weighting functions Pattern formation Incomplete data Inverse problems System identification
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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