@gideonstar@mastodon.gideonstar.de2025-10-17 11:09:52
I'm going home - the master version.
#karlbushby
@arXiv_mathOC_bot@mastoxiv.page2025-11-14 09:35:40
An inexact semismooth Newton-Krylov method for semilinear elliptic optimal control problem
Shiqi Chen, Xuesong Chen
https://arxiv.org/abs/2511.10058 https://arxiv.org/pdf/2511.10058 https://arxiv.org/html/2511.10058
arXiv:2511.10058v1 Announce Type: new
Abstract: An inexact semismooth Newton method has been proposed for solving semi-linear elliptic optimal control problems in this paper. This method incorporates the generalized minimal residual (GMRES) method, a type of Krylov subspace method, to solve the Newton equations and utilizes nonmonotonic line search to adjust the iteration step size. The original problem is reformulated into a nonlinear equation through variational inequality principles and discretized using a second-order finite difference scheme. By leveraging slanting differentiability, the algorithm constructs semismooth Newton directions and employs GMRES method to inexactly solve the Newton equations, significantly reducing computational overhead. A dynamic nonmonotonic line search strategy is introduced to adjust stepsizes adaptively, ensuring global convergence while overcoming local stagnation. Theoretical analysis demonstrates that the algorithm achieves superlinear convergence near optimal solutions when the residual control parameter $\eta_k$ approaches to 0. Numerical experiments validate the method's accuracy and efficiency in solving semilinear elliptic optimal control problems, corroborating theoretical insights.
toXiv_bot_toot
@kexpmusicbot@mastodonapp.uk2026-01-10 07:29:10
🇺🇦 #NowPlaying on KEXP's #StreetSounds
MIKE:
🎵 Burning Desire (Tiny Desk Version)
#MIKE
https://mikelikesrap.bandcamp.com/track/burning-desire-tiny-desk-version
https://open.spotify.com/track/2KKrlVEhlXqfrLR1okapHp
@bthalpin@mastodon.social2025-10-25 19:41:53
RE: #notThatJesus
No, we don't follow that Jesus, we follow the Jesus of the old testa…
@BBC3MusicBot@mastodonapp.uk2025-12-13 14:54:45
🇺🇦 #NowPlaying on BBCRadio3's #RecordReview
Johannes Brahms, Berliner Philharmoniker & Kirill Petrenko:
🎵 Symphony no.1 in C minor Op.68 (4th mvt)
#JohannesBrahms #BerlinerPhilharmoniker #KirillPetrenko
@soundclamp@mastodon.xyz2025-11-01 00:57:49
#NowPlaying “Tales of the Frightened” with Boris Karloff is a must on Halloween. https://www.youtube.com/playlist?list=OLAK5uy_kLzhNYR4OhC18bjBUWgpu7KjMxxGZu…
@kexpmusicbot@mastodonapp.uk2025-11-25 13:55:09
🇺🇦 #NowPlaying on KEXP's #Early
Public Service Broadcasting:
🎵 Sputnik
#PublicServiceBroadcasting
https://publicservicebroadcasting.bandcamp.com/album/sputnik-korolev
https://open.spotify.com/track/4uVq6qhKOYC1BZDpTRNo5E
@BBC3MusicBot@mastodonapp.uk2025-11-21 23:25:16
🇺🇦 #NowPlaying on BBCRadio3's #LateJunction
Karl Burke:
🎵 Cage on a Stage
#KarlBurke
@BBC3MusicBot@mastodonapp.uk2026-01-08 08:55:04
🇺🇦 #NowPlaying on BBCRadio3's #Breakfast
Gunild Keetman & Karl Peinkofer Percussion Ensemble:
🎵 Gassenhauer
#GunildKeetman #KarlPeinkoferPercussionEnsemble
@kexpmusicbot@mastodonapp.uk2025-10-26 07:41:23