RICERCA ITALIANA     

Programmi di ricerca simili:

• 1 - Sviluppo ed analisi di modelli matematici e di metodi numerici per equazioni alle derivate parziali per le applicazioni a problemi ambientali ed industriali
• 2 - Modellistica numerica per il calcolo scientifico ed applicazioni avanzate
• 3 - Metodi numerici per sistemi evolutivi di equazioni differenziali funzionali ordinarie ed alle derivate parziali
• 4 - Metodi numerici e software matematico per le applicazioni
• 5 - Modellistica numerica per il calcolo scientifico ed applicazioni avanzate
• 6 - Metodi agli elementi al contorno per problemi dipendenti dal tempo.
• 7 - Metodi numerici per equazioni differenziali funzionali
• 8 - Sviluppo di formulazioni discrete per la modellazione di dispositivi elettromagnetici complessi e per problemi "multi-physics ".
• 9 - Problemi Inversi in Medicina ed Astronomia
• 10 - Metodi numerici avanzati per equazioni alle derivate parziali di interesse applicativo

Classificazione scientifico-disciplinare

• Area scientifico disciplinare: Scienze matematiche e informatiche
  • ANALISI NUMERICA
• Area scientifico disciplinare: Ingegneria civile e Architettura
  • IDRAULICA

Classificazione brevettuale

• FIXED CONSTRUCTIONS
  • EARTH DRILLING; MINING
    • EARTH DRILLING, e.g. DEEP DRILLING (mining, quarrying E21C; making shafts, driving galleries or tunnels E21D); OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
• PHYSICS
  • EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS (devices for psychotechnics or for testing reaction times A61B5/16; games, sports, amusements A63; projectors, projector screens G03B)
  • MEASURING (counting G06M); TESTING
    • GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS (detecting or locating foreign bodies for diagnostic, surgical or person-identification purposes A61B; means for indicating the location of accidentally buried, e.g. snow-buried persons A63B29/02; investigating or analysing earth materials by determining their chemical or physical properties G01N; measuring electric or magnetic variables in general, other than direction or magnitude of the earth\'s field G01R; electronic or nuclear magnetic resonance arrangements G01R33/20; radar, sonar or analogous methods in general, detecting masses or objects involving these methods G01S)

Classificazione geografica

• Regione: Trentino Alto Adige

Bibliografia

Arbogast T, Cowsar L C, Wheeler M F and Yotov I (2000). Mixed finite element methods on non-matching multiblock grids, SIAM J. Numer. Anal. 37, 1295-1315, 2000.

Biot M A (1941). General theory of three-dimensional consolidation, J. App. Phys., 12: 155-164, 1941.

Bellavia S (1998). An inexact interior point method. J. Opt. Theory Appl., Vol. 96, No 1, 1998.

Bellavia S and Macconi M (1999). An inexact interior point method for monotone NCP. Optimization Methods and Software, Special Issue on Interior Point Methods, Vol. 11&12, pp. 211-241 , 1999.

Bellavia S, Macconi M and Morini B (2002). Numerical solution of bound-constrained nonlinear systems in chemical engineering, Recent Advances in Computational Science & Engineering, Imperial College Press, Proceedings of the Conference "International Conference on Scientific & Engineering Computation", Singapore, 2002.

Bellavia S, Macconi M and Morini B (2003). An affine scaling trust-region approach to bound-constrained nonlinear systems, Journal Applied Numerical Mathematics, 44, pp. 257-280, 2003.

Chan R H, Bai Z J and Morini B (2003). On the convergence rate of the Cayley-Transform method for inverse eigenvalue and inverse singular value problems, Int. J. Appl. Math., 2003.

Casulli V and Cheng R T (1992). Semi-implicit Finite Difference Methods for the Three-Dimensional Shallow Water Flow. International Journal for Numerical Methods in Fluids, Vol. 15, pp 629-648, 1992.

Casulli V (1997). Numerical Simulation of Three-Dimensional Free Surface Flow in Isopycnal Coordinates. International Journal for Numerical Methods in Fluids, Vol. 25, pp. 645-658, 1997.

Casulli V and Walters R A (2000). An Unstructured Grid, Three-Dimensional Model based on the Shallow Water Equations. International Journal for Numerical Methods in Fluids, Vol. 3, pp. 331-348, 2000.

Casulli V and Zanolli P (2002). Semi-Implicit Numerical Modelling of Non-Hydrostatic Free-Surface Flows for Environmental Problems. Mathematical and Computer Modelling, Vol. 39, pp. 1131-1149, 2002.

Comerlati A, Gambolati G, Putti M and Teatini P (2002). A preliminary numerical model of CO2 sequestration in a normally consolidated sedimentary basin, XIV Int. Conf. Comp. Meth. Water Res., S. M. Hassanizadeh et al. Eds., Elsevier, 1, 216--223, 2002.

Cordes C and Putti M (2001). Accuracy of Galerkin finite flements for the groundwater flow equation in two and three dimensional triangulations. Int. J. Num. Meth. Eng., 52, 371-387, 2001.

Dennis J E and Schnabel R B (1983). Numerical methods for unconstrained optimisation and non-linear equations. Prentice-Hall Inc. 1983.

Ferris M C and Pang J S (1997). Engineering and economic applications of complementarity problems. SIAM Rev., Vol. 39, No. 4, 1997.

Forsyth P A (1991). A control volume finite element approach to NAPL groundwater contamination, SIAM J. Sci. Comp., 12, 1029-1057, 1991.

Freund R M and Mizuno S (1996). Interior point methods: current state and future directions. Optima, Vol. 51, pp. 1-9, 1996.

Gambolati G, Pini G and Ferronato M (2001). Numerical performance of projection methods in finite element consolidation models. Int. J. Num. Anal. Meth. Geomech., 25, 1429-1447, 2001.

Gambolati G, Pini G and Ferronato M (2002). Direct, partitioned and projected solution to finite element consolidation models. Int. J. Num. Anal. Meth. Geomech. 26, 1371-1383, 2002.

Gambolati G, Pini G and Ferronato M (2003). Scaling improves stability of preconditioned CG-like solvers for FE consolidation equations, Int. J. Num. Anal. Meth. Geomech., 27, 1043-1056, 2003.

Gasparo M G, Papini A and Pasquali A (2001). Nonmonotone algorithms for pattern search methods. Numerical Algorithms 28, 171-186, 2001.

Gasparo M G and Morini B (2000). Inexact methods: forcing terms and conditioning. J. Opt. Theory Appl. Vol.107, 2000.

Godunov S K (1959). A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics. Mat. Sb. Vol. 47, pp 357-393, 1959.

Harten A, Engquist B, Osher, S and Chakravarthy S R (1987). Uniformly high order accuracy essentially non-oscillatory schemes III. Journal of Computational Physics, Vol. 71, pp 231-303, 1987.

Kelley C T (1995). Iterative methods for linear and nonlinear equations. SIAM Publications, 1995.

Kamzov C (2001a). Strictly feasible equatio-based methods for mixed complementarity problems. Numer. Mat. , Vo. 89, pp 135-160, 2001.

Kamzov C (2001b). An active set-type Newton method for constrained non-linear systems. Ferrris M C, Mangasarian O L, Pang J S (Editors). Complementarity: Applications, Algoriths and Extensions. Kluwer Academic Publishers, Dordrecht, pp 179-200, 2001.

Lax P (1957). Duke Math. Vol. 24, p 627.

Mazzia A and Putti M (2004). Behavior of the Mixed Hybrid Finite Element for the solution of diffusion equations on unstructured triangulations. XV Int. Conf. on Comput. Methods in Water Resour. 2004.

Morini B (1999). Convergence behaviour of Inexact Newton methods. Mathematics of Computations, Vol.68, 1999,

Morini B and Macconi M (1999). Inexact methods in the numerical solution of stiff initial value problems. Computing, Vol. 63, 1999.

Nocedal L J and Wright S J (1999). Numerical Optimization. Springer Verlag, N.Y., 1999.

Pieraccini S, Gasparo M G and Pasquali A (2003). Global Newton-type methods and semismooth reformulations for NCP. Applied Numer. Math. 44, 367-384, 2003.

Potra F A and Wright S G (2000) . Interior point methods. J. Comput. Appl. Math. Vol.124, 2000.

Putti M and Cordes C (1998). Finite element approximation of the diffusion operator on tetrahedra, SIAM J. Sci. Comp., 19, 1154-1168, 1998.

Romenski E I and Toro E F (2003). Shock Waves in Compressible Two-Phase Flows. Isaac Newton Institute for Mathematical Sciences Preprint Series NI03026-NPA, University of Cambridge, UK, May 2003.

Rudnicki J W and Wawersik W R (1999). Report looks at sequestering CO2, EOS,80, 607-608, 1999.

Schwartzkopff T, Munz C D and Toro E F (2002). ADER: High-Order Approach for Linear Hyperbolic Systems in 2D. Journal of Scientific Computing, Vol. 17, Nos 1-4, pp 231-240, 2002.

Stewart H B and Wendroff B (1984). Two-Phase Flow: Models and Methods (Review Article). J. Comput. Physics, Vol. 56, pp 363-409, 1984.

Sukumar N (2003): Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids, Int. J. Numer. Meth. Eng., 57, 1-34, 2003.

Titarev V A and Toro E F (2002). ADER: Arbitrary High Order Godunov Approach. Journal of Scientific Computing, Vol. 17, Nos 1-4, pp 609-618, 2002.

Titarev V A and Toro E F (2003). High order ADER schemes for scalar advection-diffusion-reaction equations. J Computational Fluid Dynamics pp 1-6, Vol. 12, No 1, April 2003.

Toro E F (1999). Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer-Verlag. Second Edition, June 1999, 624 pages.

Toro E F (2001). Shock-Capturing Methods for Free-Surface Shallow Flows. Wiley and Sons Ltd, 309 pages, 2001.

Toro E F, Millington R C and Nejad L A M (2001) . Towards Very High-Order Godunov Schemes. In Godunov Methods: Theory and Applications, Edited Review, Toro E F (Editor), Kluwer Academic / Plenum Publishers, pp 905-938, 2001.

Toro E F and V A Titarev (2002). Solution of the Generalised Riemann Problem for Advection-Reaction Equations. Proc. Royal Society of London A Vol. 458, pp 271-281, 2002.

E F Toro (2004). MUSTA: A Multi-Stage Numerical Flux. Isaac Newton Institute for Mathematical Sciences Preprint Series NI04008-NPA , University of Cambridge, UK, 21st March, 2004.

Wachter A and Biegler L T (2000). Failure of global convergence for a class of interior point methods for nonlinear programming. Math. Progr. Vol. 88, 2000.

Wheeler J A, Wheeler M F and Yotov I (2002). Enhanced mixed finite element methods for flow in multiblock domains. Comp. Geosc. 6, 315--332, 2002.

Ye Y (1997). Interior point algorithms theory and analysis. John Wiley&Sons. Inc., 1997.

Parole Chiave

FLUIDODINAMICA E GEOMECCANICA DI PROCESSI AMBIENTALI E SOTTERRANEI; FLUSSI MULTIFASE, MEZZI POROSI, ANISOTROPIA ED ETEROGENEITA'; EQUAZIONI A DERIVATE PARZIALI; METODI NUMERICI PER EQUAZIONI A DERIVATE PARZIALI; METODI AGLI ELEMENTI FINITI E VOLUMI FINITI; METODI SEMI-IMPLICITI, SEMI-LAGRANGIANI; METODI DI ORDINE ELEVATO: ADER E GALERKIN DISCONTINUO; SISTEMI LINEARI E NON-LINEARI DI GRANDI DIMENSIONI; METODI DI NEWTON-KRYLOV