Tootfinder

🇺🇦 Auf #radioeins läuft...
Gloria Gaynor:
🎵 Never Can Say Goodbye
#NowPlaying #GloriaGaynor
https://traxnochar.bandcamp.com/track/gloria-gaynor-never-can-say-goodbye-ext-re-edit
https://open.spotify.com/track/1nvWbwYHXGocLrI5cfOSit

Fourier-Galerkin method for scattering poles of sound soft obstacles
Yunyun Ma, Jiguang Sun
https://arxiv.org/abs/2510.03826 https://arxiv.org/pdf/2510.038…

Fourier-Galerkin method for scattering poles of sound soft obstacles
The computation of scattering poles for a sound-soft obstacle is investigated. These poles correspond to the eigenvalues of two boundary integral operators. We construct novel decompositions of these operators and show that they are Fredholm. Then a Fourier-Galerkin method is proposed for discretization. By establishing the regular convergence of the discrete operators, an error estimate is established using the abstract approximation theory for eigenvalue problems of holomorphic Fredholm opera…

The Enlightenment room at the British Museum. This is is a favorite, both for the cabinet of curiosities pleasure and also for its detailed explication of historiography and European intellectual culture. These photos don't do it justice.

Watch one clip of the "Have I Got News For You" glorious Best of Season 2 collection!
▶️ WHAT Can Turn You Gay?! Would You Play Trump's Board Game?! Nude Beach Hecklers - #HIGNFYUS
https://

High order well-balanced and total-energy-conserving local discontinuous Galerkin methods for compressible self-gravitating Euler equations
Liang Pan, Wei Chen, Jianxian Qiu, Tao Xiong
https://arxiv.org/abs/2510.04112

High order well-balanced and total-energy-conserving local discontinuous Galerkin methods for compressible self-gravitating Euler equations
In this paper, we develop a high order structure-preserving local discontinuous Galerkin (DG) scheme for the compressible self-gravitating Euler equations, which pose great challenges due to the presence of time-dependent gravitational potential. The designed scheme is well-balanced for general polytropic equilibrium state and total energy conserving for multiple spatial dimensions without an assumption of spherical symmetry. The well-balanced property is achieved by decomposing the gravitation…

Enjoying my 2nd cup of coffee before the day gets crazy. The granddaughter, 2 daughters, and son-in-law are due to arrive momentarily. That means a trip to the beach this afternoon, BBQ duties for dinner, and lots of stuff in between.
Glorious October day here in Belle Ewart - sunny and 23°C. I hope everyone has an awesome weekend.
#GetOutside #CoffeeFirst

A nodally bound-preserving composite discontinuous Galerkin method on polytopic meshes
Abdolreza Amiri, Gabriel R. Barrenechea, Emmanuil H. Georgoulis, Tristan Pryer
https://arxiv.org/abs/2510.02094

A nodally bound-preserving composite discontinuous Galerkin method on polytopic meshes
We introduce a nodally bound-preserving Galerkin method for second-order elliptic problems on general polygonal/polyhedral, henceforth collectively termed as \emph{polytopic}, meshes. Starting from an interior penalty discontinuous Galerkin (DG) formulation posed on a polytopic mesh, the method enforces preservation of \emph{a priori} prescribed upper and lower bounds for the numerical solution at an arbitrary number of user-defined points \emph{within} each polytopic element. This is achieved …

Higher-Order Boundary Conditions for Atomistic Dislocation Simulations
Xinyi Wei, Julian Braun, Yangshuai Wang, Lei Zhang
https://arxiv.org/abs/2510.04751 https://

Higher-Order Boundary Conditions for Atomistic Dislocation Simulations
We present a higher-order boundary condition for atomistic simulations of dislocations that address the slow convergence of standard supercell methods. The method is based on a multipole expansion of the equilibrium displacement, combining continuum predictor solutions with discrete moment corrections. The continuum predictors are computed by solving a hierarchy of singular elliptic PDEs via a Galerkin spectral method, while moment coefficients are evaluated from force-moment identities with co…

A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
Shicheng Liu, Qilong Zhai
https://arxiv.org/abs/2510.00354 https://

A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
In this paper, we present a posteriori error estimation for weak Galerkin method applied to fourth order singularly perturbed problem. The weak Galerkin discretization space and numerical scheme are first described. A fully computable residual type error estimator is then constructed. Both the reliability and efficiency of the proposed estimator are rigorously demonstrated. Numerical experiments are provided to validate the theoretical findings.

The discretizations of the derivative by the continuous Galerkin and the discontinuous Galerkin methods are exactly the same
Bernardo Cockburn
https://arxiv.org/abs/2509.22587 h…

The discretizations of the derivative by the continuous Galerkin and the discontinuous Galerkin methods are exactly the same
In the framework of ODEs, we uncover a new link between the continuous Galerkin method (see Math. Comp. (1972), 26 (118 and 120), 415-426 and 881-891) and the discontinuous Galerkin method (see Mathematical Aspects of Finite elements in PDEs, (1974), 89-123), namely, that the discretizations of the derivative by these two methods are the same. A direct consequence of this result is the construction of a new elementwise post-processing of the approximate solution provided by the Discontinuous Ga…