Luca Heltai

ORCID: 0000-0001-5514-4683
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Research Areas
  • Advanced Numerical Methods in Computational Mathematics
  • Lattice Boltzmann Simulation Studies
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Electromagnetic Simulation and Numerical Methods
  • Computational Geometry and Mesh Generation
  • Advanced Numerical Analysis Techniques
  • Computational Fluid Dynamics and Aerodynamics
  • Matrix Theory and Algorithms
  • Numerical methods for differential equations
  • Micro and Nano Robotics
  • Fluid Dynamics Simulations and Interactions
  • Electromagnetic Scattering and Analysis
  • Fluid Dynamics and Vibration Analysis
  • Fluid Dynamics and Turbulent Flows
  • Composite Material Mechanics
  • Elasticity and Material Modeling
  • Computer Graphics and Visualization Techniques
  • Composite Structure Analysis and Optimization
  • Ship Hydrodynamics and Maneuverability
  • Advancements in Photolithography Techniques
  • Model Reduction and Neural Networks
  • Aerosol Filtration and Electrostatic Precipitation
  • Fluid Dynamics and Heat Transfer
  • Mathematics, Computing, and Information Processing

University of Pisa
2024

Scuola Internazionale Superiore di Studi Avanzati
2015-2024

Durham University
2021

University of Pavia
2007

Pennsylvania State University
2007

University of Brescia
2005

Abstract This paper provides an overview of the new features finite element library deal.II version 8.4.

10.1515/jnma-2016-1045 article EN Journal of Numerical Mathematics 2016-01-01

Abstract This paper provides an overview of the new features finite element library deal.II version 9.0.

10.1515/jnma-2018-0054 article EN Journal of Numerical Mathematics 2018-06-10

Abstract This paper provides an overview of the new features finite element library deal.II, version 9.4.

10.1515/jnma-2022-0054 article EN Journal of Numerical Mathematics 2022-07-16

Abstract This paper provides an overview of the new features finite element library deal.II , version 9.5.

10.1515/jnma-2023-0089 article EN Journal of Numerical Mathematics 2023-08-22

Abstract This paper provides an overview of the new features finite element library deal.II version 8.5.

10.1515/jnma-2017-0058 article EN Journal of Numerical Mathematics 2017-01-01

Abstract This paper provides an overview of the new features finite element library deal.II, version 9.1.

10.1515/jnma-2019-0064 article EN Journal of Numerical Mathematics 2019-07-05

Euglenids exhibit an unconventional motility strategy amongst unicellular eukaryotes, consisting of large-amplitude highly concerted deformations the entire body (euglenoid movement or metaboly). A plastic cell envelope called pellicle mediates these deformations. Unlike ciliary flagellar motility, biophysics this mode is not well understood, including its efficiency and molecular machinery. We quantitatively examine video recordings four euglenids executing such motions with statistical...

10.1073/pnas.1213977109 article EN Proceedings of the National Academy of Sciences 2012-10-09

10.1016/j.cma.2007.09.015 article EN Computer Methods in Applied Mechanics and Engineering 2007-10-02

10.1016/j.cma.2013.09.017 article EN Computer Methods in Applied Mechanics and Engineering 2013-10-21

The immersed boundary method is both a mathematical formulation and numerical method. In its continuous version it fully nonlinearly coupled for the study of fluid structure interactions. Many methods have been introduced to reduce difficulties related nonlinear coupling between evolution. However instabilities arise when explicit or semi-implicit are considered. this work we present stability analysis based on energy estimates variational A two-dimensional incompressible in form simple...

10.1142/s0218202507002352 article EN Mathematical Models and Methods in Applied Sciences 2007-09-12

We study self-propelled stokesian robots composed of assemblies balls, in dimensions 2 and 3, prove that they are able to control their position orientation. This is a result controllability, its proof relies on applying Chow's theorem an analytic framework, similar what has been done [4] for axisymmetric system swimming along the axis symmetry. generalize analyticity given situation where swimmers can move either plane or three-dimensional space, hence experiencing also rotations. then...

10.3934/dcdsb.2013.18.1189 article EN Discrete and Continuous Dynamical Systems - B 2013-01-01

We propose a computational method to solve optimal swimming problems, based on the boundary integral formulation of hydrodynamic interaction between swimmer and surrounding fluid direct constrained minimization energy consumed by swimmer. apply our axisymmetric model examples. consider classical (the three-sphere Golestanian et al.) as well novel inspired observation biological micro-organisms.

10.1142/s0218202511005088 article EN Mathematical Models and Methods in Applied Sciences 2010-11-26

10.1016/j.camwa.2015.03.012 article EN publisher-specific-oa Computers & Mathematics with Applications 2015-04-05

10.1016/j.cma.2012.04.001 article EN Computer Methods in Applied Mechanics and Engineering 2012-04-11
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