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📰 "Empirical Hyper Element Integration Method (EHEIM) with Unified Integration Criteria for Efficient Hyper Reduced FE$^2$ Simulations"
arxiv.org/abs/2503.19483 #Physics.Comp-Ph #Mechanical #Math.Na #Cs.Na #Ecm

arXiv.orgEmpirical Hyper Element Integration Method (EHEIM) with Unified Integration Criteria for Efficient Hyper Reduced FE$^2$ SimulationsNumerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood. However, the computational costs of this so-called FE$^2$ method are so high that reduction methods are essential. While the construction of a reduced basis for the microscopic nodal displacements using proper orthogonal decomposition (POD) has become a standard technique, the reduction of the computational effort for the projected nodal forces, the so-called hyper reduction, is an additional challenge, for which different strategies have been proposed in the literature. The empirical cubature method (ECM), which has been proven to be very robust, implemented the conservation of the total volume is used as a constraint in the resulting optimization problem, while energy-based criteria have been proposed in other contributions. The present contribution presents a unified integration criteria concept, involving the aforementioned criteria, among others. These criteria are used both with a Gauss point-based as well as with an element-based hyper reduction scheme, the latter retaining full compatibility with the common modular finite element framework. The methods are combined with a previously proposed clustered training strategy and a monolithic solver. Numerical examples empirically demonstrate that the additional criteria improve the accuracy for a given number of modes. Vice verse, less modes and thus lower computational costs are required to reach a given level of accuracy.

My next @preLights post is out. I saw this first preprint from the Storer lab a while back (thanks to a toot from @CellySally) and took some time over writing it but I think it was worth it!

I really enjoyed going back to some developmental biology with this study on how the ECM and mechanical environment influence limb regeneration. Also, nice that my PhD department, PDN, was heavily involved!

prelights.biologists.com/highl

preLightsHyaluronic Acid and Emergent Tissue Mechanics Orchestrate Digit Tip Regeneration - preLightsMui and team show hyaluronic acid deposition and a soft ECM promote digit regeneration in mice.

Zakir Hussain - Making Music (ECM, 1987)

RIP Zakir. A giant of a musician. I was privileged to see him perform with Planet Drum and Bela Fleck. His tabla playing was transcendent and he exuded joy. Also a key contributor to Shakti, Tabla Beat Science, and many other great records, trad and fusion (broadly defined), including this one w/ Hariprasad Chaurasia, John McLaughlin, and Jan Garbarek.

#NowPlaying #tabla #jazz #ECM #vinyl #BEKrecords @vinylrecords

This morning's #workout #music is from Sly & Robbie with Nils Petter Molvaer. A great harmony of styles in this live set. Chill #vibes from Scandanavia meet tropical grooves from Jamaica. The trumpet reminds me much of my dear friend Dave with whom I have collaborated frequently (see comments)

youtu.be/f702zmB5en4

www.youtube.com - YouTubeAuf YouTube findest du die angesagtesten Videos und Tracks. Außerdem kannst du eigene Inhalte hochladen und mit Freunden oder gleich der ganzen Welt teilen.

Aktuell in der HörBar: Jarrett – The Old Country

das Triospiel außerordentlich in Balance, Mood und Interaktion und erzeugt diesen ästhetischen Reichtum, an dem man sich nicht satthören kann. Zugleich versagen sich hier meine Fähigkeiten, in Worte zu fassen, wie hier das Spiel der drei ineinandergreift; so selbstverständlich und doch voller Vielfältigkeit im A

hoerbar.nmz.de/2024/11/jarrett
#Jazz #ECM #GaryPeacock #jazz #JazzTrio #KeithJarrett #PaulMotian

#reingehört
John Surman - INVISIBLE THREADS

Auch auf diesem Album zeigen sich die kammermusikalischen Stärken des Saxophonisten in all seiner Vielfältigkeit. Die Stimmen der drei Musiker fließen ineinander und tragen eine wunderbar melancholische Stimmung in den heutigen herbstlichen Tag… (sehr passend)
Man möchte vor Schönheit vergehen… !

#JohnSurman (sax, bcl)
#NelsonAyres (p)
#RobWaring (vb, mar)

Produziert wurde das Album bei #ECM von #ManfredEicher (von wem sonst… )

This morning's #workout #music is some #Jazz from the mid-70s this is #EuropeanImprovisation with some #ECM staples. Mostly avoids the dangerous musak territory that Garbarek plumbed so often. A rehearsal filmed in black and white.

Ralph Towner Quartet
Munch Museum - Oslo, Norway
February 28, 1975

Ralph Towner - guitar
Jan Garbarek - saxophone
Eberhard Weber - bass
Jon Christensen - drums

youtu.be/Fi16V8v_J4Y

www.youtube.com - YouTubeAuf YouTube findest du die angesagtesten Videos und Tracks. Außerdem kannst du eigene Inhalte hochladen und mit Freunden oder gleich der ganzen Welt teilen.

We're looking forward to exhibiting in Seville in just over a week as part of #ECM2024Sevilla. We'll be joining the @EuroMathSoc and @zbMATH on stand 13-15. Come and visit us to meet our teams, discuss the work we do and collect your exclusive EMS Press bookstore delegate discount coupon!

Find out more: ems.press/updates/2024-07-04-9

ems.pressEMS Press | Meet the EMS at 9th European Congress of MathematicsThe EMS, alongside EMS Press and zbMath Open are exhibiting at 9ECM

#Reingehört #EbenErschienen
Fred Hersch - SILENT, LISTENING

Der Pianist Fred Hersch begeistert mich schon lange. Mit diesem gerade erschienenen, über weite Strecken sehr introvertierten Soloalbum zeigt er eine Vielzahl von Facetten. Das ist filigran, luftig und immer interessant und erzeugt eine sehr besondere, fragile Stimmung…
Absolute Hörempfehlung für alle Freunde des Klaviers.
Produzent #ManfredEicher (wer sonst… )
#ECM #FredHersch #Jazz #Piano #PianoSolo