Results 51 to 60 of about 92 (89)

Virtual Element Method for Piezoelasticity

International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.
ABSTRACT This paper presents a Virtual Element Method (VEM) for the simulation of 2D and 3D piezoelectric problems. Piezoelectric materials exhibit strong multiphysics coupling behavior and have the ability to convert mechanical energy into electrical energy.
Yi Yang, Jian Meng, Wei‐Long Fan, Jun Lv, Bing‐Bing Xu   +4 more
wiley   +1 more source

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +1 more source

Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications

Axioms
This paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families.
Awatif Muflih Alqahtani, Saleem Yousuf, Shahid Ahmad Wani, Roberto S. Costas-Santos   +3 more
doaj   +1 more source

A Physics‐Informed Learning Framework to Solve the Infinite‐Horizon Optimal Control Problem

International Journal of Robust and Nonlinear Control, Volume 35, Issue 16, Page 6932-6944, 10 November 2025.
ABSTRACT We propose a physics‐informed neural networks (PINNs) framework to solve the infinite‐horizon optimal control problem of nonlinear systems. In particular, since PINNs are generally able to solve a class of partial differential equations (PDEs), they can be employed to learn the value function of the infinite‐horizon optimal control problem via
Filippos Fotiadis, Kyriakos G. Vamvoudakis   +1 more
wiley   +1 more source

On Generalized Class of Bell Polynomials Associated with Geometric Applications

Axioms
In this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi, Abdulghani Muhyi, Wadia Faid Hassan Al-shameri   +2 more
doaj   +1 more source

About properties and the monomiality principle of Bell-based Apostol-Bernoulli-type polynomials

Carpathian Mathematical Publications
This article investigates the properties and monomiality principle within Bell-based Apostol-Bernoulli-type polynomials. Beginning with the establishment of a generating function, the study proceeds to derive explicit expressions for these polynomials, providing insight into their structural characteristics.
W. Ramírez, C. Cesarano, S. Wani, S. Yousuf, D. Bedoya   +4 more
openaire   +1 more source

Data‐Driven Inverse Design of Spinodoid Architected Materials

GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.
Abstract We present a workflow for the inverse design of architected materials with targeted effective mechanical properties. The approach leverages a low‐dimensional descriptor space to represent the topology and morphology of complex mesostructures, enabling efficient navigation within the design space.
Alexandra Otto, Max Rosenkranz, Karl A. Kalina, Markus Kästner   +3 more
wiley   +1 more source

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability

Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
wiley   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +1 more source

Multi-variable Gould-Hopper and Laguerre polynomials

Le Matematiche, 2007
The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
doaj