2007.15498.pdf (636.96 kB)
A least-squares Galerkin gradient recovery method for fully nonlinear elliptic equations
conference contribution
posted on 2023-06-09, 21:37 authored by Omar LakkisOmar Lakkis, Amireh MousaviWe propose a least squares Galerkin based gradient recovery to approximate Dirichlet problems for strong solutions of linear elliptic problems in nondivergence form and corresponding a priori and a posteriori error bounds. This approach is used to tackle fully nonlinear elliptic problems, e.g., Monge–Amp`ere, Hamilton–Jacobi–Bellman, using the smooth (vanilla) and the semismooth Newton linearization. We discuss numerical results, including adaptive methods based on the a posteriori error indicators.
Funding
ModCompShock - Modelling and Computation for Shocks and Interfaces; G1718; EUROPEAN UNION; 642768
History
Publication status
- Published
File Version
- Accepted version
Journal
Numerical Mathematics and Advanced Applications ENUMATH 2019ISSN
1439-7358Publisher
SpringerPublisher URL
External DOI
Volume
139Page range
651-662Event name
European Numerical Mathematics and Advanced Applications Conference 2019Event location
The NetherlandsEvent type
conferenceEvent date
30th Sept - 4th Oct 2019ISBN
9783030558734Series
Lecture notes in computational science and engineeringDepartment affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2020-09-22First Open Access (FOA) Date
2021-08-23First Compliant Deposit (FCD) Date
2020-09-18Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC