Ontology highlight
ABSTRACT:
SUBMITTER: Duffin C
PROVIDER: S-EPMC7812808 | biostudies-literature | 2021 Jan
REPOSITORIES: biostudies-literature
Duffin Connor C Cripps Edward E Stemler Thomas T Girolami Mark M
Proceedings of the National Academy of Sciences of the United States of America 20210101 2
We present a statistical finite element method for nonlinear, time-dependent phenomena, illustrated in the context of nonlinear internal waves (solitons). We take a Bayesian approach and leverage the finite element method to cast the statistical problem as a nonlinear Gaussian state-space model, updating the solution, in receipt of data, in a filtering framework. The method is applicable to problems across science and engineering for which finite element methods are appropriate. The Korteweg-de ...[more]