Getting acquainted with the fractional Laplacian

N Abatangelo, E Valdinoci - Contemporary research in elliptic PDEs and …, 2019 - Springer
These are the handouts of an undergraduate minicourse at the Università di Bari (see Fig.
1), in the context of the 2017 INdAM Intensive Period “Contemporary Research in elliptic …

[图书][B] Modellistica numerica per problemi differenziali

A Quarteroni - 2013 - books.google.com
In questo testo si introducono i concetti di base per la modellistica numerica di problemi
differenziali alle derivate parziali. Si considerano le classiche equazioni lineari ellittiche …

[PDF][PDF] Elliptic PDE's in probability and geometry: symmetry and regularity of solutions

X Cabré - Discrete and Continuous Dynamical Systems, 2008 - pdfs.semanticscholar.org
We describe several topics within the theory of linear and nonlinear second order elliptic
Partial Differential Equations. Through elementary approaches, we first explain how elliptic …

Admissible shell internal forces and safety assessment of masonry domes

F Barsi, R Barsotti, S Bennati - International Journal of Solids and Structures, 2023 - Elsevier
The present paper illustrates a methodology for the safety assessment of masonry domes.
The dome is modelled as a thin shell made of a material satisfying Heyman's hypotheses …

A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids

PF Antonietti, M Botti, I Mazzieri, SN Poltri - SIAM Journal on Scientific …, 2022 - SIAM
The aim of this work is to introduce and analyze a finite element discontinuous Galerkin
method on polygonal meshes for the numerical discretization of acoustic waves propagation …

[PDF][PDF] Shock-Capturing methods: Well-Balanced Approximate Taylor and Semi-Implicit schemes

E Macca - 2022 - researchgate.net
In nature, economics, and in science in general, a large number of events can be described
by differential equations of various types. There are many categories of differential equations …

Spectro-hierarchical homogenization scheme for elasto-dynamic problems in periodic Cauchy materials

A Fortunati, D Misseroni, A Bacigalupo - Applied Mathematical Modelling, 2024 - Elsevier
A spectro-hierarchical algorithm is proposed to determine an approximate solution to the
elasto-dynamic problem for periodic heterogeneous materials. Such a homogenization …

A gradient flow approach for combined layout-control design of wave energy parks

M Gambarini, G Ciaramella, E Miglio - arXiv preprint arXiv:2409.10200, 2024 - arxiv.org
Wave energy converters (WECs) represent an innovative technology for power generation
from renewable sources (marine energy). Although there has been a great deal of research …

An accurate strategy for computing reaction forces and fluxes on trimmed locally refined meshes

D D'Angella, S Kollmannsberger, A Reali… - Journal of …, 2022 - academic.oup.com
The finite element method is classically based on nodal Lagrange basis functions defined
on conforming meshes. In this context, total reaction forces are commonly computed from the …

[图书][B] Calcolo Scientifico: Esercizi e problemi risolti con MATLAB e Octave

A Quarteroni, F Saleri, P Gervasio - 2017 - books.google.com
Questo testo è concepito per i corsi delle Facoltà di Ingegneria e di Scienze. Esso affronta
tutti gli argomenti tipici della Matematica Numerica, spaziando dal problema di risolvere …