Books
A. Kirsch, C. J. S. Alves, Inverse
Obstacle Problems special issue in Mathematics and Computers in
Simulation - Volume 66 - Issues 4-5, 2004.
S. Necasova, H. Petzeltova,
M. Pokorny, and A. Sequeira, editors. Proceedings of the International
Conference on Partial Differential Equations and Applications (in honor
of the 70th Birthday of Prof. J. Necas, Olomouc, Czech Republic, 1999).
Mathematica Bohemica, 2001.
A. Sequeira, H. Beirão
da Veiga, and J.H. Videman, editors. Applied Nonlinear Analysis.
Kluwer Academic - Plenum Publishers, 1999.
Research
Papers
2004
C. J. S. Alves, P. Antunes:
Numerical determination of eigenfrequencies and eigenmodes using the Method
of Fundamental Solutions. In Proceedings of the International Conference
in Engineering & Science 2004 (S. Atluri, A. Tadeu, editors) in
CD-ROM. Tech Science Press, Los Angeles, 2004.
C. J. S. Alves, A. L. Silvestre:
Density results using Stokeslets and a method of fundamental solutions
for the Stokes equations. Eng. Analysis Bound. Elem. 28, 1245-1252,
2004.
C. J. S. Alves, J. Ben Abdallah
J., M. Jaoua: Recovery of cracks using a point-source reciprocity gap function,
Inv.
Probl. Sc. Eng. 12, 5, 519-534, 2004.
C. J. S. Alves, P. Serranho:
On the identification of the flatness of a sound-hard acoustic crack. Math.
Comp. Sim. 66, 337-353, 2004.
C. J. S. Alves, A. L.
Silvestre: On the determination of point-forces on a Stokes system. Math.
Comp. Sim. 66, 385-397, 2004.
A. L. Silvestre: On the existence
of steady flows of a Navier-Stokes liquid around a moving rigid body. Math.
Meth. Appl. Sc. 27, 1399-1409, 2004.
2003
C. J. S. Alves, J. Ben Abdallah
J., and M. Jaoua: Recovery of cracks using a reciprocity gap function.
In Inverse Problems in Engineering: Theory and Practice - Volume
I (H. Orlande, editor). E-papers Publ.House, pages 365-372, 2003.
C. J. S. Alves: Density results
on partial differential equations and the derivation of meshless methods.
In Proceedings of the International Conference in Engineering &
Science 2003 (S. Atluri, D. Beskos, D. Polyzos, editors) in CD-ROM.
Tech Science Press, Los Angeles, 2003.
N. Arada and A. Sequeira: Strong
steady solutions for a generalized Oldroyd-B model with shear-dependent
viscosity in a bounded domain. Math. Models and Meth. In Appl. Sc. 13,
9, 1303-1323, 2003.
N. Arada, J. P. Raymond: Time
optimal problems with Dirichlet boundary controls. Discrete and Continuous
Dynamical Systems, 9, pp. 1549-1570, 2003.
P.M. Lima and A. Oliveira: Numerical
solution of a singular boundary value problem for a generalized Emden-Fowler
equation. Appl. Num. Analysis. 45, pp. 389-409, 2003.
2002
C. J. S. Alves, R. Kress: On
the far field operator in elastic obstacle scattering. IMA J. Appl.
Math., 67, 1-21, 2002.
C. J. S. Alves, C. S. Chen,
and B. Sarler. The method of fundamental solutions for solving Poisson's
problems. In Boundary Elements XXIV (V. Popov, C. A. Brebbia, A.
Tadeu, editors), pages 67-76. WIT Press, Southampton, 2002.
C. J. S. Alves, A. El Badia,
and T. Ha Duong. On the determination of elastic point sources. In Proceedings
of the 2nd conference on Inverse Problems, Control and shape Optimization
(M. Jaoua, J. Jaffre, T. Ha Duong, editors), pages 13-21. INRIA,
Rocquencourt, 2002.
C. J. S. Alves, B. Pereira,
and P. Serranho. Scattering by cracks: Numerical simulations using a boundary
finite element method. In In Boundary Elements XXIV (V. Popov, C.
A. Brebbia, A. Tadeu, editors), pages 35-44. WIT Press, 2002.
N. Arada, J. P. Raymond, F.
Tröltzsch. On an augmented Lagrangian SQP method for a class of optimal
control problems in Banach spaces. Computational Optimization
and Applications, 22, pp. 369-398, 2002.
N. Arada, E. Casas, F. Tröltzsch.
Error estimates for the numerical approximation of a semilinear elliptic
control problem. Computational Optimization and Applications, 23,
pp. 201-229, 2002.
T. Diogo and P.M. Lima. Comparative
study of numerical methods for a class of integral equations with weakly
singular kernel. In Proceedings of the 5th European Hellenic Conference
on Computer Mathematics and Applications - Hercma2001 (Lipitakis, editor),
pages 574-581. LEA, 2002.
P.M. Lima and T. Diogo. Numerical
solution of a non-uniquely solvable Volterra integral equation using extrapolation
methods. J. Comp. Appl. Math., 140:537-557, 2002.
P.M. Lima and A. Oliveira. Numerical
methods and error estimates for a singular boundary-value problem. Math.
Modelling and Analysis, 7(2):271-284, 2002.
S. Nazarov, A. Sequeira, and
J.H. Videman. Asymptotic behaviour at infinity of three-dimensional steady
viscoelastic flows. Pacific J. Math., 203(2):461-488, 2002.
S. Nazarov, A. Sequeira, and
J.H. Videman. Steady flows of Jeffrey-Hamel type from the half-plane into
an infinite channel. 2. Linearization on a symmetric solution. J. Math.
Pures Appl., 81:781-810, 2002.
P.M. Lima N.B. Konyukhova and
M.P. Carpentier. Asymptotic and numerical approximation of a nonlinear
singular boundary value problem. In Tendências em Matemática
Aplicada e Computacional 3, No.2, pages 141-150, 2002.
G. P. Galdi and A. L. Silvestre,
Strong solutions to the problem of motion of a rigid body in a
Navier-Stokes liquid under the action of prescribed forces and torques.
In Nonlinear problems in mathematical physics and related topics
I, pages 121-144, Int. Math. Ser. (N. Y.), 1, Kluwer/Plenum, New York,
2002.
A.L. Silvestre. On the self-propelled
motion of a rigid body in a viscous liquid and on the attainability of
steady symmetric self-propelled motions. J. Math. Fluid Mech., 4:285-326,
2002.
A.L. Silvestre. On the slow
motion of a self-propelled rigid body in a viscous incompressible fluid.
J.
Math. Anal. Appl., 274:203-227, 2002.
2001
C.J.S.
Alves and H. Ammari. Boundary integral formulae for the reconstruction
of imperfections of small diameter in an elastic medium.
SIAM J. Appl.
Math., 62:94--106, 2001.
C. J. S. Alves, C. S. Chen:
The method of fundamental solutions adapted for a non homogeneous equation.
In Proceedings of the International Conference in Engineering &
Science 2001 (S. Atluri,T. Nishioka, M. Kikuchi, editors) in CD-ROM.
Tech Science Press, Los Angeles, 2001.
C. J. S. Alves: Numerical experiments
on the near and far field of acoustic and elastic waves scattered by cracks.
In Proceedings of the International Conference in Engineering &
Science 2001 (S. Atluri,T. Nishioka, M. Kikuchi, editors) in CD-ROM.
Tech Science Press, Los Angeles, 2001.
A.L.
Dyshko, M.P. Carpentier, N.B. Konyukhova, and P.M. Lima. Singular problems
for Emden-Fowler type second-order non-linear ordinary differential equations.
Journal
of Computational Mathematics and Mathematical Physics, 41(4):557--580,
2001. In Russian.
S.
Nazarov, A. Sequeira, and J.H. Videman. Steady flows of Jeffrey-Hamel type
from the half-plane into an infinite channel. 1. Linearization on an anti-symmetric
solution.
J. Math. Pures Appl., 80(12):1069--1098, 2001.
A.
Sequeira and J.H. Videman. Mathematical results and numerical methods for
steady incompressible viscoelastic fluid flows. In K. Vajravelu, editor,
Differential
Equations and Nonlinear Mechanics. Mathematics and its Applications,
pages 339--362. Kluwer Academic Publishers, 2001.
J.M
Urbano and J.H. Videman. Unidirectional steady flow of a viscoelastic fluid
with a free surface.
Interfaces and Free Boundaries, 3(4):447--463,
2001.
2000
C.J.S.
Alves. Density results for the Helmholtz equation and the method of fundamental
solutions. In S.N. Atluri and F.W. Brust, editors, Advances in Computational
Engineering & Sciences I, pages 45--50. Tech. Sc. Press, Los Angeles,
2000.
C.J.S.
Alves and G. Pires. Sound soft screen detection in the near field. In M.
Tanaka and G. Dulikravich, editors, Inverse Problems in Engineering
Mechanics II, pages 563--571. Elsevier, 2000.
C.J.S.
Alves, T. Ha-Duong, and F. Penzel. On the identification of conductive
cracks. In M. Tanaka and G. Dulikravich, editors, Inverse Problems in
Engineering Mechanics II, pages 213--218. Elsevier, 2000.
T.
Diogo and P.M. Lima. Numerical solution of a non-uniquely solvable Volterra
integral equation. In R. Ciegis, A. Samarskii, and M. Sapagovas, editors,
Finite
Difference Schemes: Theory and Applications, pages 39--49. IMI, Vilnius,
2000. Proceedings of the 3rd International Conference FDS2000, Palanga,
Lituânia, 2000.
T.
Diogo, P.M. Lima, and N. Franco. Analysis of product integration methods
for a class of singular Volterra integral equations. In Tendências
da Matemática Aplicada e Computacional, Vol. 1(2), pages 373--387.
Sociedade Brasileira de Matemática Aplicada e Computacional, 2000.
Proc. XXII CNMAC 99, Santos, 2000.
P.M.
Lima and M. Carpentier. Numerical solution of a singular boundary-value
problem in non-Newtonian fluid mechanics.
Computer Physics Communications,
126:114--120, 2000.
P.M.
Lima and A. Oliveira. Aproximação de problemas de valores
de fronteira singulares usando subsoluções e supersoluções.
In Tendências da Matemática Aplicada e Computacional, Vol.
1(2), pages 401--414. Sociedade Brasileira de Matemática Aplicada
e Computacional, 2000. Proc. XXII CNMAC 99, Santos, 2000.
P.M.
Lima and A. Oliveira. Aproximação numérica de problemas
de valores de fronteira com aplicações em mecãnica.
In P. Vila Real and J. Grácio, editors, Actas do VI Congresso
de Mecãnica Aplicada e Computacional, Aveiro, pages 1615--1626.
Universidade de Aveiro, 2000.
P.M.
Lima and A. Oliveira. Numerical solution of nonlinear singular boundary-value
problems using variable substitutions. In R. Ciegis, A. Samarskii, and
M. Sapagovas, editors, Finite Difference Schemes: Theory and Applications,
pages 153--162. IMI, Vilnius, 2000. Proceedings of the 3rd International
Conference FDS2000, Palanga, Lituânia, 2000.
S.
McKee, T. Tang, and T. Diogo. An Euler-type method for two-dimensional
Volterra integral equations of the first kind.
IMA Journal of Numerical
Analysis, 3:423--440, 2000.
K.
Pileckas, A. Sequeira, and J.H. Videman. Steady flows of viscoelastic fluids
in domains with outlets to infinity.
J. Math. Fluid Mech., 2:185--218,
2000.
A. Sequeira.
Introduction to the section "Overviews and Tutorials".
Meccanica,
35:161, 2000.
1999
C.J.S.
Alves. Numerical simulations on resonance poles - the trapping case of
two plane cracks.
Journal of Computational and Applied Mathematics,
111(1):267--279, 1999.
C.J.S.
Alves and T. Ha-Duong. Inverse scattering for elastic plane cracks.
Inverse
Problems, 15:91--97, 1999.
C.J.S.
Alves and P.M.C. Ribeiro. Crack detection using spherical incident waves
and near-field measurements. In C. A. Brebbia and H. Power, editors, Boundary
Elements XXI, pages 355--364. WIT Press, 1999.
M.P.
Carpentier and P.M. Lima. Numerical solution of a sublinear singular boundary-value
problem. In J. Bento, E.A. Oliveira, and E. Pereira, editors, EPMESC
VII -- International Conference on Enhancement and Promotion of Computational
Methods in Engineering and Science, pages 119--129. Elsevier, 1999.
J.A.
Cuminato, A. Castelo, M.F. Tome, and M. Boaventura. Simulation of free
surface flows in a distributed memory environment.
Journal of Computational
and Applied Mathematics, 103(1):77--92, 1999.
P.M.
Lima and M. Carpentier. Asymptotic expansions and numerical approximation
of non-linear degenerate boundary-value problems.
Applied Numerical
Mathematics, 30(1):93--111, 1999.
P.M.
Lima and M. Carpentier. Iterative methods for a singular boundary-value
problem.
Journal of Computational and Applied Mathematics, 111(1):173--186,
1999.
S.
Matusu-Necasová, A. Sequeira, and J.H. Videman. Asymptotic behaviour
of compressible maxwell fluids in exterior domains. In A. Sequeira, H.
Beirão da Veiga, and J.H. Videman, editors,
Applied Nonlinear
Analysis, pages 373--390. Kluwer Academic - Plenum Publishers, 1999.
S.
Matusu-Necasová, A. Sequeira, and J.H. Videman. Existence of classical
solutions for compressible viscoelastic fluids of Oldroyd type past an
obstacle.
Mathematical Methods in the Applied Sciences, 22:449--460,
1999.
A.
Novotny, A. Sequeira, and J.H. Videman. Steady motions of viscoelastic
fluids in 3-D exterior domains - existence, uniqueness and asymptotic behaviour.
Archive
for Rational Mechanics and Analysis, 149:49--67, 1999.
J.A. Rodrigues.
Preconditioners for non-conforming domain decomposition methods.
Journal
of Computational and Applied Mathematics, 111(1):227--237, 1999.
A.
Sequeira and M. Baía. A finite element approximation for the steady
solution of a second-grade fluid model.
Journal of Computational and
Applied Mathematics, 111:281--295, 1999.
M.F.
Tome and S. McKee. Numerical simulation of viscous flow: Buckling of planar
jets. International Journal for Numerical Methods in Fluids, 29:705--718,
1999.
M.F.
Tome, L. Grossi, A. Castelo, J.A. Cuminato, and A. Fortuna. Numerical simulation
of axisymmetric non-newtonian free surface flows.
Journal of Applied
Mathematics and Engineering, 4:121--126, 1999.
M.F.
Tome, S. McKee, L. Barratt, D.A. Jarvis, and A.J. Patrick. An experimental
and numerical investigation of container filling: Liquid fluids.
International
Journal for Numerical Methods in Fluids, 31:1333--1353, 1999.
1998
C.J.S.
Alves. Inverse scattering with spherical incident waves. In J. DeSanto,
editor, Mathematical and Numerical Aspects of Wave Propagation,
pages 502--504. SIAM, 1998.
M.
Padula and A. Sequeira. A note on a vector transport equation with applications
to non-Newtonian fluids. In J.G. Heywood, K. Masuda, R. Rautmann, and V.A.
Solonnikov, editors, Theory of the Navier-Stokes Equations, volume
47 of Advances in Mathematics for Applied Sciences, pages 121--126.
World Scientific, 1998.
K.
Pileckas, A. Sequeira, and J.H. Videman. A note on steady flows of non-Newtonian
fluids in channels and pipes. In L. Magalhães, C. Rocha, and L.
Sanchez, editors, EQUADIFF 95 - International Conference on Differential
Equations, pages 458--467. World Scientific, 1998.
A.
Sequeira and J.H. Videman. Existence, uniqueness and asymptotic behaviour
of viscoelastic fluids in $ R^3$ and in $ R_3^+$. In H. Amann, G.P. Galdi,
K. Pileckas, and V.A. Solonnikov, editors, Navier-Stokes Equations and
Related Nonlinear Problems, pages 301--313. VSP/TEV, 1998.
1997
C.J.S.
Alves and T. Ha-Duong. On inverse scattering by screens.
Inverse Problems,
13:1161--1176, 1997.
C.J.S.
Alves and T. Ha-Duong. On the far field amplitude for elastic waves. In
E. Meister, editor, Modern Mathematical Methods in Diffractions Theory
and its Applications in Engineering (Freudenstadt, 1996), volume 42
of Methoden und Verfahren der Mathematischen Physik, pages 49--67.
Lang, 1997.
J.A.
Cuminato, M.F. Tome, and A. Castelo. A new boundary representation and
particles movement strategy for the GENSMAC method. In Proceedings of
the ITLA 97, pages 72--74, 1997.
G.P.
Galdi, A. Sequeira, and J.H. Videman. Steady motions of a second-grade
fluid in an exterior domain. Advances in Mathematical Sciences and Applications,
7:977--955, 1997.
P.M.
Lima and T. Diogo. An extrapolation method for a Volterra integral equation
with weakly singular kernel.
Applied Numerical Mathematics, 24:131--148,
1997.
A.
Novotny, A. Sequeira, and J.H. Videman. Existence of threedimensional flows
of second-grade fluids past an obstacle.
Nonlinear Analysis, Theory,
Methods & Applications, 30(6):3051--3058, 1997.
1996
D.
Blest, B.R. Duffy, S. McKee, and M. Tome. Two studies in process modelling:
Injection moulding and resin film infusion.
IMA Journal of Applied Mathematics
in Business and Industry, 7:23--37, 1996.
J.A.
Cuminato, A. Castelo, M.F. Tome, and M. Boaventura. Parallel solution of
free surface flows. In Proceedings of ENCIT96 - Congresso Brasileiro
de Engenharia e de Ciências Térmicas, pages 583--588,
1996.
P.M. Lima.
Numerical methods and asymptotic error expansions for the Emden-Fowler
equations.
Journal of Computational and Applied Mathematics, 70:245--266,
1996.
S.
McKee, A. Sneyd, and M.F. Tome. Time-dependent flow in a penstock during
head gate closure. Applied Mathematical Modelling, 20:614--623,
1996.
M.F.
Tome, A. Castelo, J. Murakami, and J.A. Cuminato. A Marker-and-Cell technique
for solving axisymmetric free surface flows. In Proceedings of ENCIT96
- Congresso Brasileiro de Engenharia e de Ciências Térmicas,
pages 523--528, 1996.
M.F.
Tome, B. Duffy, and S. McKee. A numerical technique for solving unsteady
non-Newtonian free surface flows. Journal of Non-Newtonian Fluid Mechanics,
62:9--34, 1996.
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Long Term
Visitors
-
Olga Ladyzhenskaya (Steklov Institute
of Mathematics, Russia), June 2003.
-
Serguei Nazarov (Institute of Mechanical
Engineering Problems, St Petersburg, Russia), from September 2002 to October
2003.
-
A. I. Sukov, Moscow State Technological
University, Stankin, Russia, in February 2002.
-
Anne Robertson (Dept. of Mech.
Eng., Univ. Pittsburgh, USA), June 2001
-
Giovanni Paolo Galdi (Dept. of
Mech. Eng., Univ. Pittsburgh, USA), from June to July 2001
-
Ashwin Vaydia (Dept. of Mech. Eng.,
Univ. Pittsburgh, USA), from June to July 2001
-
Serguei Nazarov (Institute of Mechanical
Engineering Problems, St Petersburg, Russia), July 2001
-
Nadejda Konioukhova (Academy of
Sciences, Moscow, Russia), from January to February 1999 and March 2001
-
Konstantin Pileckas (Institute
for Mathematics and Informatics, Lithuania), from April to May 1999 and
February 2000
-
Serguei Nazarov (Institute of Mechanical
Engineering Problems, St Petersburg, Russia), from April to May 1999, April
2000.
-
Sarka Matusu-Necasova (Academy
of Sciences, Prague, Czech Republic), from January to May 1999
-
Traian Iliescu (Dept. of Math.,
Univ. Pittsburgh, USA), from May to June 1999
-
Paulo Pereira (student at U Joseph
Fourier, Grenoble, France), from April to September 1999
Research
Projects
Inverse
Problems and Numerical Analysis in Wave Scattering, IST/UTL.
Funded by FCT/FEDER/POCTI
Coordinator: Carlos Alves
CEMAT Members: A. L. Silvestre, P.
Ribeiro
Nonlinear Partial Differential Equations
and Interface Problems, Universidade de Lisboa.
Funded by FCT/FEDER/POCTI
Coordinator: J. Francisco Rodrigues,
CMAF/UL
CEMAT Members: Juha Videman
The
Method of Fundamental Solutions for Non-Homogeneous Problems.
Funded by NATO Collaborative Linkage
Grant
Local Coordinator: Carlos Alves
Mathematical
and Numerical Modeling of the Human Cardiovascular System, IST/UTL.
Funded by FCT/FEDER/POCTI
Coordinator: Adélia Sequeira
CEMAT Members: M. Amélia Bastos,
M. J. Pereira, A. Moura
Mathematical Analysis and Numerical
Simulation of Non-Newtonian
Fluid Models with Applications
to the Technology
of Polymer Liquid Crystals (Phase
II), IST/UTL.
Funded by FCT/FEDER/PRAXIS XXI/POCTI
- Phase 2
Coordinator: Adélia Sequeira
CEMAT Members: J. Videman, A. L. Silvestre,
P. Lima
Mathematical
and Numerical Modelling in Haemodynamics - HaeMOdel, Politecnico
di Milano, Italy.
Funded by European Union - RTN Project
Local Coordinator: Adélia Sequeira
CEMAT Members: J. Videman, A. Moura,
Z. Khatir, N. Arada
Numerical Simulation of Direct
and Inverse Problems in Wave Propagation and in Fluid Flow, IST in
collaboration with ENIT/LAMSIN, Tunisia.
Funded by ICCTI/Republic of Tunisia
Coordinator: Adélia Sequeira
CEMAT Members: C. Alves, A. L. Silvestre,
J. A. Rodrigues, P. Ribeiro.
Applied Mathematics for Industrial
Flow Problems, CEREMADE - France.
Funded by European Science Foundation
- Programme AMIF
Local Coordinator: Adélia Sequeira
Mathematical Analysis and Numerical
Simulation of Non-Newtonian Fluid Models with Applications to the Technology
of Polymer Liquid Crystals, IST/UTL.
Funded by FCT/FEDER/PRAXIS
Coordinator: Adélia Sequeira
CEMAT Members: J. Videman, C. Alves,
P. Lima, A. L. Silvestre,M. Baía, M. Tomé
Mathematical and Numerical Analysis
of Nonlinear Problems in Mechanics and Physics, IST in collaboration
with CMAP/Ecole Polytechnique, France.
Funded by ICCTI/CNRS
Coordinator: Adélia Sequeira
CEMAT Members: J. Videman, C. Alves,
A. L. Silvestre, M. Baía
Numerical Methods in Fluid Mechanics,
IST in collaboration with Ecole Polytechnique, La Marsa, Tunisia,
Funded by ICCTI/Republic of Tunisia
Coordinator: Adélia Sequeira
CEMAT Members: J. A. Rodrigues, M.
Baía
Mathematical Models of Complex Media,
Universidade Independente de Lisboa.
Funded by NATO Collaborative Linkage
Grant
Local Member: Pedro Lima
CEMAT Members: M. Carpentier, T. Diogo
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