Tootfinder

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations
Ruilin Fan, Julian Koellermeier, Yinhua Xia, Yan Xu, Jiahui Zhang
https://arxiv.org/abs/2507.13284

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations
This paper presents high-order, well-balanced, path-conservative discontinuous Galerkin (DG) methods for the shallow water linearized moment equations (SWLME), designed to preserve both still and moving water equilibrium states. Unlike the multi-layer shallow water equations, which model vertical velocity variations using multiple distinct layers, the SWLME employs a polynomial expansion of velocity profiles with up to $N$ moments. This approach enables a more detailed representation of vertica…

AI bots that scrape the internet for training data are hammering the servers of libraries, archives, museums, and galleries,
and are in some cases knocking their collections offline,
according to a new survey published today.
While the impact of AI bots on open collections has been reported anecdotally,
this survey is the first attempt at measuring the problem,
which in the worst cases can make valuable, public resources unavailable to humans
because the…

AI Scraping Bots Are Breaking Open Libraries, Archives, and Museums
"This is a moment where that community feels collectively under threat and isn't sure what the process is for solving the problem.”

A look at seven UX issues in the Fediverse web experience, including complex onboarding, the lack of a dedicated DM UI wrapper, and fragmented user discovery (Tim Chambers)
https://www.timothychambers.net/2025/06/18/113327.html

The Seven Deadly UX Sins of the Fediverse Web Experience (To Fix)
So, confession time: I was recently helping a new client get set up on the Fediverse—guiding them through their first steps into our glorious decentralized galaxy. And seeing it all again through fresh eyes? Reader, it was brutal. So much of what should be table stakes for any social media UX in the year of our Lord 2025 still is missing or deeply broken still. I know progress has been made and a good fight, fought.

"Labour’s economic strategy, if it can be called a strategy, is based upon growth delivering the tax income needed to fund our public services, with limited tax increases and the hope of ‘trickle down’ from wide-ranging deregulation of finance and planning."
John McDonnell still hanging in there it seems. A forlorn hope? Or a careful programmatic tactic?
Wasting a glorious political opportunity – 1 year of Labour in Government. John McDonnell exclusive

Wasting a glorious political opportunity – 1 year of Labour in Government. John McDonnell exclusive.
"There is no way the Chancellor’s existing economic strategy will be able to address the scale of the deep-seated problems our society faces."

They (or an intentional DDoS) have been pounding the #SpamAssassin RuleQA site into catatonia. They construct URLs which are legitimate and which each cause the site to go digging for the specific performance of a rule on an arbitrary date in the past. Hundreds of rules tested daily for ~20 years.

"AI bots that scrape the internet for training data are hammering the servers of libraries, archives, museums, and galleries, and are in some cases knocking their collections offline"
#AI is ruining our digital world
(Original title: AI Scraping Bots Are Breaking Open Libraries, Archives, and Museums)

AI Scraping Bots Are Breaking Open Libraries, Archives, and Museums
"This is a moment where that community feels collectively under threat and isn't sure what the process is for solving the problem.”

AI bots that scrape the Internet for training data are stressing out the servers of galleries, libraries, archives, and museums. In some cases they bring #GLAM collections offline.
https://www.

Are AI Bots Knocking Cultural Heritage Offline?

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
Zhihang Xu, Min Wang, Zhu Wang
https://arxiv.org/abs/2506.14812 http…

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
While deep learning has achieved remarkable success in solving partial differential equations (PDEs), it still faces significant challenges, particularly when the PDE solutions have low regularity or singularities. To address these issues, we propose the Weak TransNet (WTN) method, based on a Petrov-Galerkin formulation, for solving elliptic PDEs in this work, though its framework may extend to other classes of equations. Specifically, the neural feature space defined by TransNet (Zhang et al.,…

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
https://arxiv.org/abs/2507.11695

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
We introduce a family of discontinuous Galerkin methods to approximate the eigenvalues and eigenfunctions of a Stokes-Brinkman type of problem based in the interior penalty strategy. Under the standard assumptions on the meshes and a suitable norm, we prove the stability of the discrete scheme. Due to the non-conforming nature of the method, we use the well-known non-compact operators theory to derive convergence and error estimates for the method. We present an exhaustive computational analysi…

A bound-preserving and conservative enriched Galerkin method for elliptic problems
Gabriel R. Barrenechea, Philip L. Lederer, Andreas Rupp
https://arxiv.org/abs/2507.12338

A bound-preserving and conservative enriched Galerkin method for elliptic problems
We propose a locally conservative enriched Galerkin scheme that respects the discrete maximum principle of an elliptic problem. To this end, we use a substantial over-penalization of the discrete solution's jumps to obtain optimal convergence. To avoid the ill-conditioning issues that arise in over-penalized schemes, we introduce an involved splitting approach that separates the system of equations for the discontinuous solution part from the system of equations for the continuous solution part…