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Related papers: Local $L^2$-bounded commuting projections in FEEC

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The locally modified finite element method, which is introduced in [Frei, Richter: SINUM 52(2014), p. 2315-2334], is a simple fitted finite element method that is able to resolve weak discontinuities in interface problems. The method is…

Numerical Analysis · Mathematics 2023-05-01 Stefan Frei , Gozel Judakova , Thomas Richter

We present a local classification of smooth projective surfaces in 3-space via projective transformations in accordance with singularity types of central projections up to codimension 4. We also discuss relations between our classification…

Differential Geometry · Mathematics 2016-09-28 Hiroaki Sano , Yutaro Kabata , Jorge Luiz Deolindo Silva , Toru Ohmoto

The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite difference operators with cannonical commutation relations,…

Mathematical Physics · Physics 2025-10-27 Dmitri Finkelshtein , Yuri Kondratiev , Eugene Lytvynov , Maria Joao Oliveira

In this paper we give a self-contained treatment of finite group quotients of admissible (formal) schemes and adic spaces that are locally topologically finite type over a locally strongly noetherian adic space.

Algebraic Geometry · Mathematics 2024-02-21 Bogdan Zavyalov

We apply the semidefinite programming method to derive bounds for projective codes over a finite field.

Information Theory · Computer Science 2013-11-05 Christine Bachoc , Alberto Passuello , Frank Vallentin

The exactly solvable four-vertex model with the fixed boundary conditions in the presence of inhomogeneous linearly growing external field is considered. The partition function of the model is calculated and represented in the determinantal…

Statistical Mechanics · Physics 2020-11-23 Nikolay Bogoliubov , Cyril Malyshev

The paper studies a finite element method for computing transport and diffusion along evolving surfaces. The method does not require a parametrization of a surface or an extension of a PDE from a surface into a bulk outer domain. The…

Numerical Analysis · Mathematics 2014-03-04 Joerg Grande , Maxim Olshanskii , Arnold Reusken

Open discrete mappings with a modulus condition in metric spaces are considered. Some results related to local behavior of mappings as well as theorems about continuous extension to a boundary are proved.

Complex Variables · Mathematics 2016-01-06 Evgeny Sevost'yanov

In this dissertation we study basic local differential geometry, projective differential geometry, and prolongations of overdetermined geometric partial differential equations. It is simple to prolong an n-th order linear ordinary…

Differential Geometry · Mathematics 2024-05-27 Jake McNaughton

We provide a mathematically rigorous definition of local approximation and demonstrate its applicability to some interesting classes of structures. In particular, we prove that any compact simple Lie group is locally approximated by finite…

Logic · Mathematics 2026-04-02 Boris Zilber

Inspired by the works of \cite{baz2} and \cite{kian}, this study develops an abstract framework for analyzing differential equations with space-dependent fractional time derivatives and bounded operators. Within this framework, we establish…

Analysis of PDEs · Mathematics 2025-02-19 Tiago Augusto dos Santos Boza , Paulo Mendes de Carvalho Neto

We unify and generalize different notions of local units and local projectivity. We investigate the connection between these properties by constructing elementary algebras from locally projective modules. Dual versions of these…

Rings and Algebras · Mathematics 2007-05-23 Joost Vercruysse

This article studies a generalization of magic squares to finite projective planes. In traditional magic squares the entries come from the natural numbers. This does not work for finite projective planes, so we instead use Abelian groups.…

Combinatorics · Mathematics 2016-01-13 David Nash , Jonathan Needleman

We will use Watts's theorem together with Lenzing's characterization of finitely presented modules via commuting properties of the induced tensor functor in order to study commuting properties of Ext-covariant functors.

Rings and Algebras · Mathematics 2012-10-02 Simion Breaz

We propose time-domain boundary integral and coupled boundary integral and variational formulations for acoustic scattering by linearly elastic obstacles. Well posedness along with stability and error bounds with explicit time dependence…

Numerical Analysis · Mathematics 2018-04-23 George C. Hsiao , Tonatiuh Sanchez-Vizuet , Francisco--Javier Sayas

We extend some results of [BF12] on subfactor projections to show that the projection of a free factor B to the free factor complex of the free factor A is well-defined with uniformly bound diameter, unless either A is contained in B or A…

Geometric Topology · Mathematics 2016-01-20 Samuel J. Taylor

In this paper the concept of local embeddability into finite structures (being LEF) for the class of semigroups is expanded with investigations of non-LEF structures, a closely related generalising property of local wrapping of finite…

Group Theory · Mathematics 2023-10-09 Dmitry Kudryavtsev

Global existence and boundedness of classical solutions are shown for a parabolic-elliptic chemotaxis system with local sensing when the motility function is assumed to be unbounded at infinity. The cornerstone of the proof is the…

Analysis of PDEs · Mathematics 2023-03-10 Jie Jiang , Philippe Laurençot

We address fundamental aspects in the approximation theory of vector-valued finite element methods, using finite element exterior calculus as a unifying framework. We generalize the Cl\'ement interpolant and the Scott-Zhang interpolant to…

Numerical Analysis · Mathematics 2020-11-12 Evan S. Gawlik , Michael J. Holst , Martin W. Licht

We give upper bounds on the number of exceptional radial projections of arbitrary subsets of vector spaces over finite fields. Our bounds do not depend on the dimension of the ambient space. Let $\mathbb{F}_q^d$ be the $d$-dimensional…

Combinatorics · Mathematics 2025-12-01 Paige Bright , Ben Lund , Thang Pham
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