Name: MARICA
Surname: AURORA-MIHAELA
Contact information:
University of Graz
Institute for Mathematics and Scientific Computing
Heinrichstrasse 36, 8010
Graz, Austria (room 407)
Telephone: +43 316 380 5166
Mobile: 00436765035945
Email: [email protected]
Website: https://sites.google.com/site/auroramihamarica/
Personal information:
Birth date: March 21, 1981
City, province, country of birth: Craiova, Dolj, Romania
Citizenship: Romanian
Languages: Romanian, Spanish, French, English
Actual position:
Sept. 2012 – now - Postdoctoral Fellow, BCAM - University of Graz, Institute for Mathematics and Scientific
Computing, Graz, Austria, within project MOBIS - Mathematical Optimization and Applications in Biomedical
Sciences.
Former positions:
Nov. 2010 – Aug. 2012 – Postdoctoral Fellow, BCAM - Basque Center for Applied Mathematics, Bilbao, Spain,
within projects NUMERIWAVES and MTM2008-03541.
Education:
Date
Degree
Institution
2010
PhD in Mathematics
Universidad Autónoma de Madrid, Spain
Title of the PhD Thesis: “Propagation properties of the
discontinuous Galerkin and higher-order classical finite element
approximations of the 1-d wave equation”, advisor Enrique
Zuazua Iriondo
2008
D.E.A. in Mathematics
Universidad Autónoma de Madrid, Spain
-DEA thesis in numerical analysis: “Localizad waves for the
finite-difference and symmetric interior penalty semidiscretizations of the 1-d wave equation”, advisor Enrique Zuazua
Iriondo
-DEA thesis in mathematical finance: “Passport Options –
mathematical model, viscosity solutions and numerical solutions”,
advisor Santiago Carrillo Menéndez
2007
Master in Dymanical systems and Faculty of Mathematics/Informatics, University of Craiova,
evolution problems
Romania
2005
Bachelor
Degree in Mathematics
Faculty of Mathematics/Informatics, University of Craiova,
Romania
Fields of expertise and research interests:
Partial Differential Equations, Numerical Analysis, Control Theory.
Research projects:
Date
Grant
Grant title
Organization
Grant
amount
Principal
investigator
20052006
HPRN-CT2002-00284
New
materials,
adaptive UE Sub-Program
systems
and
their (European
nonlinearities:
modeling, Commission)
control
and
numerical
simulation
20062008
MTM200500714
Analysis,
Numerical MEC, Spain
Approximation and Optimal
Design of Partial Differential
Equations
192000€
E. Zuazua
20092011
MTM200803541
Partial Differential Equations: MICINN, Spain
Analysis, Control, Numerics
and Applications
182300€
E. Zuazua
20102012
PI2010-04
Ecuaciones
en
derivadas Basque
parciales: análisis, control y Government
numérico
7000€
Enrique Zuazua
20102015
246775 –
New analytical and numerical
NUMERIWA methods in wave propagation
VES
ERCEA
- 1663000€
European
Research Council
Executive
Agency
Enrique Zuazua
20112014
PN-II-IDAnalysis, control and
PCE-2011-3- numerical approximations of
0075
PDEs
Romanian
National
Authority for
Scientific
Research,
CNCS–
UEFISCDI
Liviu Ignat
B. Miara (General
Coordinator, ESIEE)
& E. Zuazua (UAM)
20122014
MTM2011- Ecuaciones en derivadas
parciales: análisis, control,
29306
numérico y aplicaciones
MICINN, Spain
Enrique Zuazua
Fellowships:
Period
Institution
Details
June 2011
Institute of Mathematics of the Short term Bitdefender postdoctoral fellowship
Romanian Academy
2006-2010
Universidad Autónoma de Madrid, FPI fellowship to realize the PhD thesis, Spanish Ministry
Spain
of Education
Apr.-June
2007
Isaac Newton Institute, Cambridge, Universidad Autónoma de Madrid fellowship to
UK
participate in the Highly oscillatory problems:
computation, theory and applications Programme
Oct. 2005 –
Oct. 2006
Universidad Autónoma de Madrid, Pre-doctoral fellowship, European project Smart systems:
Spain
New materials, adaptive systems and their non-linearities:
modeling, control and numerical simulation
Nov. 2004 –
Feb. 2005
Universidad
Complutense
Madrid, Spain.
de Student mobility programme Sócrates-Erasmus
fellowship
Visiting student:
Period
Institution & Details
Apr.-July 2007
Participant in the programme "Highly Oscillatory Problems: Computations, Theory and
Applications", Isaac Newton Institute, Cambridge, UK.
Nov. 2011
Université de Pau et des Pays de l'Adour, Pau, France
Attended scientific events:
Period
Aug. 22-30,
2006
Aug. 28-Sept.
8, 2006
July 16-20,
2007
Aug. 27- Sept.
7, 2007
Oct. 15-19,
2007
Nov. 15-21,
2007
Oct. 14-16,
2009
July 19-23,
2010
Aug. 13-17,
Event & Details
International Congress of Mathematicians, Madrid
CIMPA Summer School of Control and Optimization, Castro Urdiales, Spain,
SIMUMAT Summer School 2007 "Numerical Analysis
and Control in Fuids", Castro Urdiales, Spain
Summer School and Workshop "Partial differential equations, optimal design and numerics",
Benasque, Spain
Workshop "Dispersive long waves models: control theory and boundary value problems",
Wolfgang Pauli Institute, Vienna
Advanced School on Numerical Solutions of Partial Differential Equations, Centre de Recerca
Matematica, Barcelona, Spain
First
workshop
of
the
European
Research
Group
project
“Control of Partial Differential Equations”, Institut Henri Poincaré, Paris
CIME Course on Control of Partial Differential Equations, Centro Internazionale Matematico
Estivo, Cetraro, Italy
ICM2010 Satellite Conference on PDE and Related Topics, TIFR-CAM, India, Bangalore
2010
Workshops Contrôle d'équations dispersives & Contrôle déquations et systèmes paraboliques,
Institut Henri Poincaré, Paris, France
Oct. 24-28,
Contrôle, imagerie et propabilités en Méditeranée, Université de Nice Sophia Antipolis, Nice,
2011
France.
Aug. 13-17,
Summer course Frontiers of Mathematics and Applications III, UIMP – Universidad
2012
Internacional Menéndez Pelayo, Santander, Spain
Sept. 21-22,
Workshop Trends in Optimization and Control PDEs on the occasion of Karl Kunisch's 60th
2012
birthday, University of Graz, Austria.
5-th Status Seminar, Mathematical Optimization and Applications in Biomedical Sciences SFB
Nov. 14-16,
2012
Project, Schloss Röthelstein, Admont, Austria.
WOPCON13 – Workshop on Optimal Control of PDEs on the occasion of Günter Leugering's
June 7-8, 2013
60th birthday, University of Erlangen, Germany.
Nov. 2010
Recent talks:
Period
Event & Talk title
Highly oscillatory problems: computation, theory and applications Programme, Isaac Newton
June 27, 2007
Institute, Cambridge, UK. Title: Fourier analysis of the 1-d discontinuous Galerkin methods
Oct. 15-19,
Workshop on Dispersive long waves models: control theory and boundary value problems,
2007
Wolfgang Pauli Institute, Vienna. Title: Fourier analysis of 1-d discontinuous Galerkin methods
Jan. 12-16,
EPSRC Symposium Workshop on New directions in computational partial differential equations,
2009
Warwick, UK. Title: Wave propagation and discontinuous Galerkin approximations
Workshop of the Project MTM2008-03541of the MICINN Spain, BCAM, Bilbao. Title:
June 30- July 1,
Concentrated waves for the finite difference and discontinuous Galerkin semi-discretizations of
2009
the wave equation
Workshop BCAM-CIM09 in Applied Mathematics, Bilbao. Title: Concentrated waves for the
July 2-4, 2009
finite-difference and discontinuous Galerkin semi-discretizations of the wave equation
Summer School and Workshop "Partial differential equations, optimal design and numerics",
Aug. 23- Sept.
Benasque, Spain. Title: Propagation properties of the discontinuous Galerkin semi4, 2009
discretization of the wave equation
Jan. 25-29,
2010
Conference
of
the
European
Research
Group
project
“Control of Partial Differential Equations”, Luminy, France. Title: Localized waves and filtering
mechanisms for the discontinuous Galerkin approximations of the 1-d wave equation
V International Conference on Inverse Problems, Control and Shape Optimization, PICOF’10,
April 7-9, 2010 Cartagena, Spain. Title: Localized solutions for the finite difference semi-discretization of the
wave equation
Workshop on Non-Standard Numerical Methods for PDEs, Universita degli Studi di Pavia,
June 29-July 2,
Pavia, Italy. Title: Localized solutions and filtering mechanisms for the discontinuous Galerkin
2010
semi-discretizations of the 1-d wave equation
Workshop of the Project MTM2008-03541of the MICINN Spain, BCAM, Bilbao, Spain. Title:
July 2-4, 2010
High frequency wave packets for the Schrödinger equation and its numerical approximations
Aug. 19-26,
2010
Nov. 25-26,
2010
Dec. 15, 2010
International Congress of Mathematicians, Hyderabad, India. Title: High frequency localized
solutions and filtering mechanisms for classical and non-conforming semi-discretizations of the
wave equation
Workshop on PDEs, IMAR, Bucharest, Romania. Title: Propagation properties of some more
sophisticated numerical approximations of the wave equation
OPTPDE Project Meeting, Institut Élie Cartan, Nancy, France
Title: Propagation and dispersion properties of classical and non-conforming approximation
schemes for the wave and Schrödinger equations
Workshop on Quantum control, Banff International Research Station, Banff, Canada
Apr. 3-8, 2011 Title: On the quadratic finite element approximation of 1-d waves: propagation, observation,
control and numerical implementation
VII Congress of Romanian Mathematicians, Brasov, Romania
June 29 – July
Title: On the quadratic finite element approximation of 1-d waves: propagation, observation,
5, 2011
control and numerical implementation
OPTPDE Summer School, Challenges in Applied Control and Optimal Design, Bilbao
July 4-8, 2011
Title: High frequency wave packets in complex discrete media
Summer school & workshop on PDEs, optimal design and numerics, Benasque, Spain
Aug. 28 – Sept.
Title 1: Wave propagation in discrete heterogeneous media
9, 2011
Title 2: Inviscid limit for the complex Ginzburg-Landau equation on quantum networks
Oct. 10-14,
International workshop on control and optimization of PDEs, Mariatrost, Graz, Austria
2011
Title: Wave propagation in discrete heterogeneous media.
Workshop of the ESF project “Optimization with PDE constraints”, Charles University, Prague
Title: Wave propagation in discrete heterogeneous media.
Basque-Hungarian Workshop on Numerical Methods for Large Systems
Apr. 26, 2012 Title: Some sophisticated numerical approximations for waves: propagation, observability, dispersion and control
Workshop for Young Researchers in Mathematics, Ovidius University - Constantza
May 10, 2012
Title: Wave propagation in non-uniform meshes: a Wigner measure approach
EFEF2012 – European finite element fair, BCAM, Bilbao
June 8-9, 2012
Title: High frequency wave propagation on non-uniform meshes
14th International conference on hyperbolic problems: theory, numerics, applications, Università
June 25-29,
2012
degli Studi di Padova, Italy. Poster: Wave propagation in discrete heterogeneous media
XIème Colloque Franco-Roumain de Mathématiques Appliquées, Faculté de Mathématiques et
Aug. 24-30,
Informatique, Bucarest, invited talk in session on Contrôle des équations aux dérivées partielles,
2012
Title : High frequency wave propagation in non-uniform meshes
3 ème Conférence Internationale de la Société Marocaine de Mathématiques Appliquées
Sept. 10-13,
(SM2A), Marrakech, Morocco, invited talk, Title : High frequency wave propagation in non2012
uniform meshes
Dec. 9-10,
2011
Jan. 24, 2013
University of Zagreb, Title: Wave propagation on non-uniform media.
Workshop MTM2011-29306, Title: Propagation and stabilization properties of waves on discrete heterogeneous media.
May 9-10,
Workshop for Young Researchers in Mathematics, Constanta, Romania, Title: Uniform observ2013
ability properties for discrete waves on non-uniform concave meshes.
8-th Workshop on Control of Distributed Parameter Systems, Craiova, Romania, Poster title:
July 1-5, 2013
Well-posedness and controllability issues for switching models in cardiology.
Feb. 18-19,
2013
Reviewer for: Numerical Algorithms, Springer.
Some numerical simulations:
-High frequency wave packets for the finite difference discretization of 1-d wave equations in non-uniform
meshes, http://www.bcamath.org/en/research/simulations/high-frequency-wave-packets-for-the-finite-difference-
discretization-of-the-1-d-wave-equation-in-a-non-uniform-mesh
-Propagation of highly oscillatory wave packets through semi-discrete media arising from finite differences,
classical P1 finite element and P1-DG methods, http://www.bcamath.org/en/research/simulations/propagationof-a-highly-oscillating-wave-packet-through-a-semi-discrete-media-arising-from-a-finite-differences
-Time evolution of Gaussian wave packets for continuous Schrödinger equations, its finite difference semidiscretization and the dispersive schemes given by a bi-grid algorithm of ratios ½ and ¼,
http://www.bcamath.org/projects/MTM2008-03541/simulations-g6.html
Teaching:
Period
June
2012
Information
11-15,
Oct. 2007 - Feb.
2008
2001, 2003
BCAM and EHU/UPV courses 2011-2012, Advanced aspects in applied mathematics
Title: Topics on numerics for wave propagation
Link:http://www.bcamath.org/en/courses/bcam-and-upv-ehu-courses-2011-2012-zuazua-aurora
Universidad Autónoma de Madrid, Master in Mathematics and Applications, Course on numerical
methods, Matlab practice, Main professor: Enrique Zuazua,
link: http://www.uam.es/personal_pdi/ciencias/ezuazua/docencia.html
Elementary school teacher, School Nr. 2 Traian, Craiova, Dolj, Romania.
List of publications:
Reference
Authors & Title
Proceeding of the V International Conference on
Marica A., Zuazua E., Localized solutions for the finite
Inverse Problems, Control and Shape Optimization,
difference semi-discretization of the wave equation
PICOF’10, April, Cartagena, Spain. 2010, 135-141
Marica A., Zuazua E., Localized solutions for the finite
C. R. Acad. Sci. Paris, Ser. I 348 (2010) 647–652
difference semi-discretization of the wave equation
Marica A., Zuazua E., Localized solutions and filtering
C.R. Acad. Sci. Paris, Ser. I, 348 (2010), 1087-1092 mechanisms for the discontinuous Galerkin semidiscretizations of the 1-d wave equation
Marica A., Zuazua E., High frequency wave packets for
C.R. Acad. Sci. Paris, Ser. I, 349 (2011), 105-110
the Schrodinger equation and its numerical
approximations
“CFL-80: A Celebration of 80 Years of the Discovery
Marica A., Zuazua E., On the quadratic finite
of CFL Condition”, C. Kubrusly and C. A. Moura,
element approximation of 1-d waves: propagation,
eds., Springer Proceedings in Mathematics, Springer
observation, control and numerical implementation
Verlag, 2012, 75-100, ISBN-10: 0817683933
Springer Briefs, to appear
SIAM J. Numerical Analysis, 50(5)(2012), 2744–
2777
ESF Research Networking Programme OPTPDE
Proceedings, accepted.
Marica A., Zuazua E., Symmetric Discontinuous
Galerkin Approximations of 1-d waves: high frequency propagation and observability
Marica A., Zuazua E., On the quadratic finite element
approximation of onedimensional waves: propagation,
observation, and control.
Marica A., Zuazua E. Boundary stabilization of
numerical approximations of the 1-d variable coefficients
wave equation: A numerical viscosity approach
Ongoing projects:
1. Marica A., Zuazua E., Propagation of 1-d waves in regular discrete heterogeneous media: a Wigner measure
approach.
2. Ervedoza S., Marica A., Zuazua E., Uniform observability property for discrete waves on strictly concave
non-uniform meshes: a multiplier approach.
3. Kunisch K., Marica A., Well-posedness and optimal controllability results for switching models in cardiology:
Mitchell-Schaeffer and Fenton-Karma.
Prizes:
-
May 13, 2005 - second prize, Session of scientific communications for students, Faculty of Physics,
University of Craiova, Romania.