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1

On the coupling of 3D and 1D Navier–Stokes equations for flow problems in compliant vessels

L. Formaggia, J.F. Gerbeau, F. Nobile, A. Quarteroni

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2001

Language:

english

File:

PDF, 1.48 MB

english, 2001

2

[UNITEXT] Solving Numerical PDEs: Problems, Applications, Exercises Volume 114 || Fundamentals of finite elements and finite differences

Formaggia, Luca, Saleri, Fausto, Veneziani, Alessandro

Year:

2012

Language:

english

File:

PDF, 690 KB

english, 2012

3

Numerical approximation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network

Landajuela, Mikel, Vergara, Christian, Gerbi, Antonello, Dedè, Luca, Formaggia, Luca, Quarteroni, Alfio

Journal:

International Journal for Numerical Methods in Biomedical Engineering

Year:

2018

Language:

english

File:

PDF, 2.88 MB

english, 2018

4

Finite element Euler computations in three dimensions

Jaime Peraire, Joaquin Peiro, Luca Formaggia, Ken Morgan, Olgierd C. Zienkiewicz

Journal:

International Journal for Numerical Methods in Engineering

Year:

1988

Language:

english

File:

PDF, 1.23 MB

english, 1988

5

Flow rate boundary problems for an incompressible fluid in deformable domains: Formulations and solution methods

Luca Formaggia, Alessandro Veneziani, Christian Vergara

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2010

Language:

english

File:

PDF, 987 KB

english, 2010

6

Positivity and Conservation Properties of Some Integration Schemes for Mass Action Kinetics

Formaggia, L., Scotti, A.

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 1.90 MB

english, 2011

7

Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations

Formaggia, L., Gerbeau, J. F., Nobile, F., Quarteroni, A.

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 2.08 MB

english, 2002

8

A reduced model for Darcy’s problem in networks of fractures

Formaggia, Luca, Fumagalli, Alessio, Scotti, Anna, Ruffo, Paolo

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 855 KB

english, 2014

9

On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations

Formaggia, Luca, Moura, Alexandra, Nobile, Fabio

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2007

Language:

english

File:

PDF, 668 KB

english, 2007

10

An Unfitted Formulation for the Interaction of an Incompressible Fluid with a Thick Structure via an XFEM/DG Approach

Zonca, Stefano, Vergara, Christian, Formaggia, Luca

Journal:

SIAM Journal on Scientific Computing

Year:

2018

Language:

english

File:

PDF, 4.66 MB

english, 2018

11

Analysis of a mimetic finite difference approximation of flows in fractured porous media

Formaggia, Luca, Scotti, Anna, Sottocasa, Federica

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 3.00 MB

english, 2018

12

[SEMA SIMAI Springer Series] Numerical Methods for PDEs Volume 15 (State of the Art Techniques) ||

Di Pietro, Daniele Antonio, Ern, Alexandre, Formaggia, Luca

Year:

2018

Language:

english

File:

PDF, 8.94 MB

english, 2018

13

[SEMA SIMAI Springer Series] Numerical Methods for PDEs Volume 15 (State of the Art Techniques) || An Introduction to Recent Developments in Numerical Methods for Partial Differential Equations

Di Pietro, Daniele Antonio, Ern, Alexandre, Formaggia, Luca

Year:

2018

Language:

english

File:

PDF, 114 KB

english, 2018

14

Mimetic finite difference approximation of flows in fractured porous media

Antonietti, Paola F., Formaggia, Luca, Scotti, Anna, Verani, Marco, Verzott, Nicola

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 1.76 MB

english, 2016

15

UNIFIED CONSTRUCTION OF FINITE ELEMENT AND FINITE VOLUME DISCRETIZATIONS FOR COMPRESSIBLE FLOWS

V. SELMIN, L. FORMAGGIA

Journal:

International Journal for Numerical Methods in Engineering

Year:

1996

Language:

english

File:

PDF, 1.56 MB

english, 1996

16

Shape reconstruction from medical images and quality mesh generation via implicit surfaces

J. Peiró, L. Formaggia, M. Gazzola, A. Radaelli, V. Rigamonti

Journal:

International Journal for Numerical Methods in Fluids

Year:

2007

Language:

english

File:

PDF, 967 KB

english, 2007

17

Fluid–structure interaction problems in free surface flows: Application to boat dynamics

L. Formaggia, E. Miglio, A. Mola, N. Parolini

Journal:

International Journal for Numerical Methods in Fluids

Year:

2008

Language:

english

File:

PDF, 342 KB

english, 2008

18

A model for the dynamics of rowing boats

Luca Formaggia, Edie Miglio, Andrea Mola, Antonio Montano

Journal:

International Journal for Numerical Methods in Fluids

Year:

2009

Language:

english

File:

PDF, 576 KB

english, 2009

19

Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system

S. J. Sherwin, L. Formaggia, J. Peiró, V. Franke

Journal:

International Journal for Numerical Methods in Fluids

Year:

2003

Language:

english

File:

PDF, 572 KB

english, 2003

20

Effect of torsion on microvenous anastomotic patency in rat model and early thrombolytic phenomenon

Gennaro Selvaggi, Marzia Salgarello, Eugenio Farallo, Sylvia Anicic, Luca Formaggia

Journal:

Year:

2004

Language:

english

File:

PDF, 58 KB

english, 2004

21

Mathematical explanation of the buckling of the vessels after twisting of the microanastomosis

G. Selvaggi, S. Anicic, L. Formaggia

Journal:

Year:

2006

Language:

english

File:

PDF, 352 KB

english, 2006

22

Simulation of hypersonic flows on unstructured grids

V. Selmin, L. Formaggia

Journal:

International Journal for Numerical Methods in Engineering

Year:

1992

Language:

english

File:

PDF, 1.74 MB

english, 1992

23

Simulation of a store separation using the finite element method

L. Formaggia, J. Peraire, K. Morgan

Journal:

Applied Mathematical Modelling

Year:

1988

Language:

english

File:

PDF, 642 KB

english, 1988

24

Mathematical modelling and numerical simulation of a glow-plug

L. Formaggia, S. Micheletti, R. Sacco, A. Veneziani

Journal:

Applied Numerical Mathematics

Year:

2007

Language:

english

File:

PDF, 1.07 MB

english, 2007

25

Anisotropic mesh adaptation in computational fluid dynamics: Application to the advection–diffusion–reaction and the Stokes problems

Luca Formaggia, Stefano Micheletti, Simona Perotto

Journal:

Applied Numerical Mathematics

Year:

2004

Language:

english

File:

PDF, 2.52 MB

english, 2004

26

Stability analysis of second-order time accurate schemes for ALE–FEM

Luca Formaggia, Fabio Nobile

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2004

Language:

english

File:

PDF, 538 KB

english, 2004

27

A computational model for drug release in coronary drug eluting stents

Zunino, P., Prosi, M., Gervaso, F., Minisini, S., Formaggia, L.

Journal:

Journal of Biomechanics

Year:

2006

Language:

english

File:

PDF, 152 KB

english, 2006

28

Absorbing boundary conditions for pulse propagation in arteries

Moura, A., Nobile, F., Prosi, M., Formaggia, L.

Journal:

Journal of Biomechanics

Year:

2006

Language:

english

File:

PDF, 160 KB

english, 2006

29

Parallel computation for shallow water flow: A domain decomposition approach

L. Paglieri, D. Ambrosi, L. Formaggia, A. Quarteroni, A.L. Scheinine

Journal:

Parallel Computing

Year:

1997

Language:

english

File:

PDF, 1.13 MB

english, 1997

30

Function approximation on triangular grids: some numerical results using adaptive techniques

Cristina Manzi, Francesca Rapetti, Luca Formaggia

Journal:

Applied Numerical Mathematics

Year:

2000

Language:

english

File:

PDF, 579 KB

english, 2000

31

Modified fixed point algorithm in fluid–structure interaction

Simone Deparis, Miguel Ángel Fernández, Luca Formaggia, Fabio Nobile

Journal:

Comptes Rendus Mécanique

Year:

2003

File:

PDF, 217 KB

2003

32

Coupling 3D and 1D fluid-structure interaction models for blood flow simulations

L. Formaggia, A. Moura, F. Nobile

Journal:

Year:

2006

Language:

english

File:

PDF, 190 KB

english, 2006

33

Anisotropic error estimates for elliptic problems

L. Formaggia, S. Perotto

Journal:

Numerische Mathematik

Year:

2003

Language:

english

File:

PDF, 1.04 MB

english, 2003

34

New anisotropic a priori error estimates

L. Formaggia, S. Perotto

Journal:

Numerische Mathematik

Year:

2001

Language:

english

File:

PDF, 1.06 MB

english, 2001

35

On Parallel Computation of Blood Flow in Human Arterial Network Based on 1-D Modelling

B. V. Rathish Kumar, Alfio Quateroni, Luca Formaggia, Daniele Lamponi

Journal:

Year:

2003

Language:

english

File:

PDF, 839 KB

english, 2003

36

Multiscale modelling of the circulatory system: a preliminary analysis

Luca Formaggia, Fabio Nobile, Alfio Quarteroni, Alessandro Veneziani

Journal:

Computing and Visualization in Science

Year:

1999

Language:

english

File:

PDF, 227 KB

english, 1999

37

A 3D/1D geometrical multiscale model of cerebral vasculature

Tiziano Passerini, Mariarita de Luca, Luca Formaggia, Alfio Quarteroni, Alessandro Veneziani

Journal:

Journal of Engineering Mathematics

Year:

2009

Language:

english

File:

PDF, 718 KB

english, 2009

38

Implicit tracking for multi-fluid simulations

A. Villa, L. Formaggia

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 676 KB

english, 2010

39

A numerical investigation of Schwarz domain decomposition techniques for elliptic problems on unstructured grids

Luca Formaggia, Alan Scheinine, Alfio Quarteroni

Journal:

Mathematics and Computers in Simulation

Year:

1997

Language:

english

File:

PDF, 1.05 MB

english, 1997

40

One-dimensional models for blood flow in arteries

Luca Formaggia, Daniele Lamponi, Alfio Quarteroni

Journal:

Journal of Engineering Mathematics

Year:

2003

Language:

english

File:

PDF, 452 KB

english, 2003

41

Complex Systems in Biomedicine Volume 72 || Inverse problems in biomedical imaging: modeling and methods of solution

Quarteroni, Alfio, Formaggia, Luca, Veneziani, Alessandro

Year:

2006

Language:

english

File:

PDF, 323 KB

english, 2006

42

[UNITEXT] Solving Numerical PDEs: Problems, Applications, Exercises Volume 114 ||

Formaggia, Luca, Saleri, Fausto, Veneziani, Alessandro

Year:

2012

Language:

english

File:

PDF, 157 KB

english, 2012

43

An anisotropic a-posteriori error estimate for a convection-diffusion problem

Luca Formaggia, Simona Perotto, Paolo Zunino

Journal:

Computing and Visualization in Science

Year:

2001

Language:

english

File:

PDF, 257 KB

english, 2001

44

ViVa: the virtual vascular project

Abdoulaev, G., Cadeddu, S., Delussu, G., Donizelli, M., Formaggia, L., Giachetti, A., Gobbetti, E., Leone, A., Manzi, C., Pili, P., Scheinine, A., Tuveri, M., Varone, A., Veneziani, A., Zanetti, G., Z

Journal:

IEEE Transactions on Information Technology in Biomedicine

Year:

1998

Language:

english

File:

PDF, 560 KB

english, 1998

45

Complex Systems in Biomedicine || Mathematical modelling of tumour growth and treatment

Quarteroni, Alfio, Formaggia, Luca, Veneziani, Alessandro

Year:

2006

Language:

english

File:

PDF, 450 KB

english, 2006

46

[UNITEXT] Solving Numerical PDEs: Problems, Applications, Exercises || Some fundamental tools

Formaggia, Luca, Saleri, Fausto, Veneziani, Alessandro

Year:

2012

Language:

english

File:

PDF, 302 KB

english, 2012

47

[UNITEXT] Solving Numerical PDEs: Problems, Applications, Exercises || Navier-Stokes equations for incompressible fluids

Formaggia, Luca, Saleri, Fausto, Veneziani, Alessandro

Year:

2012

Language:

english

File:

PDF, 5.66 MB

english, 2012

48

A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics

Formaggia, Luca, Veneziani, Alessandro, Vergara, Christian

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 631 KB

english, 2008

49

Prescription of General Defective Boundary Conditions in Fluid-Dynamics

Luca Formaggia, Christian Vergara

Journal:

Milan Journal of Mathematics

Year:

2012

Language:

english

File:

PDF, 496 KB

english, 2012

50

An Uzawa iterative scheme for the simulation of floating bodies

Tamellini, Lorenzo, Formaggia, Luca, Miglio, Edie, Scotti, Anna

Journal:

Computers & Fluids

Year:

2012

Language:

english

File:

PDF, 634 KB

english, 2012

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