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Uniform Schwarz Preconditioners for Variable-Degree $hp$ Finite Element Interface Problems

arXiv:2606.03141v1 Announce Type: new Abstract: We construct $h$- and $p$-robust, degree-preserving space decompositions and additive Schwarz preconditioners for variable-degree $hp$ finite element discretizations of reaction-diffusion and fitted-interface problems. On conforming simplicial meshes in arbitrary dimension, the single-domain result allows an arbitrary elementwise degree distribution subject only to $p_K\ge1$. A minimal-average Falk--Winther bubble transform is introduced by...

arXiv CS 7d ago

Catching the unknown: The drone designed to hunt other drones

After repeated drone sightings at airports and critical infrastructure sites, a German company believes it has found a way to identify who is behind them. A suspected drone sighting brought disruption to Munich airport on Saturday morning, with around 26 flights reportedly diverted and further delays affecting departures. It's the latest in a growing number of drone incidents at German airports.

Euronews 9d ago

Berlin tram crash horror as at least 20 injured with cars derailed and ripped open

Berlin tram crash horror as at least 20 injured with cars derailed and ripped open The tram crashed into a power pole and was ripped open in the north-eastern Berlin neighbourhood Neu-Hohenschönhausen as more than 50 firefighters descended on the scene Twenty passengers have been injured after a tram crash in Berlin saw cars derail and a dozen people rushed to hospital with at least 20 injured. More than 50 firefighters swarmed the scene in the Neu-Hohenschönhausen neighbourhood of...

Daily Mirror 8d ago

Transfer rumors, news: Álvarez still pushing for B...

Atlético Madrid's Julián Álvarez still has his heart set on joining Barcelona, who could also still make an attempt to sign Marcus Rashford from Manchester United. Join us for the latest transfer news and rumors from around the globe. Transfers home page | Men's winter grades | Women's grades TRENDING RUMORS - Julián Álvarez has informed both Arsenal and Paris Saint-Germain that his priority is to join Barcelona this summer, according to Mundo Deportivo.

ESPN 10d ago

Transfer rumors, news: Bayern's Olise is Perez's R...

Despite saying Bayern Munich winger Michael Olise wasn't a target, Florentino Perez will bid €150 million to sign him if he wins the club's presidential election this weekend, while Manchester United are stepping up interest in various left backs Join us for the latest transfer news and rumors from around the globe. Transfers home page | Men's winter grades | Women's grades TRENDING RUMORS - Real Madrid will launch a €150 million offer to sign Bayern Munich winger Michael Olise if Florentino...

ESPN 4d ago

Nvidia Cosmos 3

Physical AI systems must understand the real world before they can act within it. Robots, autonomous vehicles, and smart spaces need to understand what’s happening in their world, predict what’s likely to happen next, and generate actions for specific environments, embodiments, and tasks. NVIDIA Cosmos 3 is a frontier foundation model for physical AI that combines physical reasoning, world generation, and action generation within a single open model.

Hacker News 8d ago

Most people cooperate—and underestimate others' willingness to cooperate, global study reveals

Most people cooperate—and underestimate others' willingness to cooperate, global study reveals Sadie Harley Scientific Editor Robert Egan Associate Editor The study "Homo cooperans: Understanding the nature of human cooperation" arrives at a clear result: 69% of study participants chose to cooperate. At the same time, the study published in the journal Science shows that people systematically underestimate the willingness of others to cooperate. The data are based on behavioral cooperation...

Phys.org 5d ago

Gleam v1.17.0 Released

Gleam is a type safe and scalable language for the Erlang virtual machine and JavaScript runtimes. Today Gleam v1.17.0 has been published. But first: the first videos from the first ever all-Gleam conference have been released!

Hacker News 7d ago