Cargando…
Uniform convergence guarantees for the deep Ritz method for nonlinear problems
We provide convergence guarantees for the Deep Ritz Method for abstract variational energies. Our results cover nonlinear variational problems such as the p-Laplace equation or the Modica–Mortola energy with essential or natural boundary conditions. Under additional assumptions, we show that the con...
Autores principales: | Dondl, Patrick, Müller, Johannes, Zeinhofer, Marius |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2022
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9287260/ https://www.ncbi.nlm.nih.gov/pubmed/35855462 http://dx.doi.org/10.1186/s13662-022-03722-8 |
Ejemplares similares
-
Variational methods for eigenvalue problems: an introduction to the methods of Rayleigh, Ritz, Weinstein, and Aronszajn
por: Gould, S H
Publicado: (1957) -
A Modified Couple Stress Elasticity for Non-Uniform Composite Laminated Beams Based on the Ritz Formulation
por: Jouneghani, Farajollah Zare, et al.
Publicado: (2020) -
Noche en el Ritz / Pere Gimferrer.
por: Gimferrer, Pere, 1945-
Publicado: (1996) -
An Analytical Model for CMUTs with Square Multilayer Membranes Using the Ritz Method
por: Zhang, Wen, et al.
Publicado: (2016) -
Elastic Multibody Dynamics: A Direct Ritz Approach
por: Bremer, H
Publicado: (2008)