A BE-based shape optimization method enhanced by topological derivative for sound scattering problems, Engineering Analysis with Boundary Elements, pp.1082-1091, 2010. ,
Optimization of a photocell, Optimal Control Applications and Methods, pp.221-246, 1991. ,
Shape Optimization of Shell Structure Acoustics, SIAM Journal on Control and Optimization, vol.55, issue.3, pp.1347-1376, 2017. ,
DOI : 10.1137/16M1070633
Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries, Asymptotic Analysis, pp.101-117, 1994. ,
Lipschitz Regularity of the Eigenfunctions on Optimal Domains, Archive for Rational Mechanics and Analysis, vol.447, issue.3, pp.117-151, 2014. ,
DOI : 10.1098/rspa.1994.0147
Shape optimization for noise radiation problems, Computers & Mathematics with Applications, vol.44, issue.12, pp.1527-1537, 2002. ,
DOI : 10.1016/S0898-1221(02)00276-6
The rate at which energy decays in a damped String, Communications in Partial Differential Equations, vol.67, issue.1-2, pp.213-243, 1994. ,
DOI : 10.1080/03605309408821015
Partial Differential Equations, 2010. ,
An Optimal Shape Design Problem for Fan Noise Reduction, Journal of Software Engineering and Applications, vol.03, issue.06, pp.3-610, 2010. ,
DOI : 10.4236/jsea.2010.36071
An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation, International Journal for Numerical Methods in Fluids, vol.27, issue.4, pp.163-175, 2007. ,
DOI : 10.1016/j.crma.2005.09.032
URL : https://hal.archives-ouvertes.fr/hal-00623843
On the invention of active noise control by Paul Lueg, The Journal of the Acoustical Society of America, vol.87, issue.5, p.2251, 1990. ,
DOI : 10.1121/1.399195
Acoustical characteristics of porous pavements: a new phenomenological model, Internoise 93, pp.641-646, 1993. ,
Variation et optimization de formes. Une analyse géométrique, 2005. ,
DOI : 10.1007/3-540-37689-5
Rozanova Pierrat, Optimal absorption of acoustical waves by a boundary, 2017. ,
Applied shape optimization for fluids, 2010. ,
DOI : 10.1093/acprof:oso/9780199546909.001.0001
URL : https://hal.archives-ouvertes.fr/hal-00385714
Optimal Internal Dissipation of a Damped Wave Equation Using a Topological Approach, International Journal of Applied Mathematics and Computer Science, vol.100, issue.2, 2009. ,
DOI : 10.1007/BFb0041925
Optimal design of the damping set for the stabilization of the wave equation, Journal of Differential Equations, vol.231, issue.1, pp.331-358, 2006. ,
DOI : 10.1016/j.jde.2006.06.009
Optimal Design, Optimization Techniques Modeling and Optimization in the Service of Man Part 2, Lecture Notes in Computer Science, pp.41-52, 2005. ,
Level set method and dynamic implicit surfaces, Applied Mathematical Sciences, vol.153, 2003. ,
DOI : 10.1115/1.1760520
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, p.79, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
Level set method and fast marching methods, 1999. ,
Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by d-sets, DCDS-S Special issue on "Variational convergence and Degeneracies in PDEs: fractal domains, composite media, dynamical boundary conditions, 2017. ,
Short-time heat diffusion in compact domains with discontinuous transmission boundary conditions, Mathematical Models and Methods in Applied Sciences, vol.1, issue.01, pp.59-110, 2016. ,
DOI : 10.1007/BF02567633
URL : https://hal.archives-ouvertes.fr/hal-01186761
Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries, Asymptotic Analysis, pp.101-117, 1994. ,
Characterisations of function spaces on fractals, 2005. ,
Mixed Dirichlet-Robin problems in irregular domains, Comm. to SIMAI Congress, 2007. ,
Asymptotics for mixed Dirichlet???Robin problems in irregular domains, Journal of Mathematical Analysis and Applications, vol.362, issue.2, pp.450-459, 2010. ,
DOI : 10.1016/j.jmaa.2009.09.042
The rate at which energy decays in a damped String, Communications in Partial Differential Equations, vol.67, issue.1-2, pp.213-243, 1994. ,
DOI : 10.1080/03605309408821015
Méthodes de quasi-réversibilité et de lignes de niveau appliquées aux problèmes inverses elliptiques, 2010. ,
An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation, International Journal for Numerical Methods in Fluids, vol.27, issue.4, pp.163-175, 2007. ,
DOI : 10.1016/j.crma.2005.09.032
URL : https://hal.archives-ouvertes.fr/hal-00623843
Sobolev embeddings, extensions and measure density condition, Journal of Functional Analysis, vol.254, issue.5, pp.1217-1234, 2008. ,
DOI : 10.1016/j.jfa.2007.11.020
Acoustical characteristics of porous pavements: a new phenomenological model, Internoise 93, pp.641-646, 1993. ,
Variation et optimization de formes. Une analyse géométrique, 2005. ,
DOI : 10.1007/3-540-37689-5
A finite volume method for the approximation of Maxwell???s equations in two space dimensions on arbitrary meshes, Journal of Computational Physics, vol.227, issue.22, pp.9365-9388, 2008. ,
DOI : 10.1016/j.jcp.2008.05.013
Uniform, Sobolev extension and quasiconformal circle domains, Journal d???Analyse Math??matique, vol.40, issue.1, pp.172-202, 1991. ,
DOI : 10.1090/coll/032
Quasiconformal mappings and extendability of functions in sobolev spaces, Acta Mathematica, vol.147, issue.0, pp.71-88, 1981. ,
DOI : 10.1007/BF02392869
Function spaces on subsets of R n , Math, 1984. ,
The dual of Besov spaces on fractals, Studia Mathematica, vol.112, issue.3, pp.285-300, 1995. ,
DOI : 10.4064/sm-112-3-285-300
Boundary value problems and brownian motion on fractals, Chaos, Solitons & Fractals, pp.191-205, 1997. ,
A Transmission Problem with a Fractal Interface, Zeitschrift für Analysis und ihre Anwendungen, pp.113-133, 2002. ,
Non-Homogeneous Boundary Value Problems and Applications, 1972. ,
DOI : 10.1007/978-3-642-65217-2
Rozanova Pierrat, Optimal absorption of acoustical waves by a boundary, 2017. ,
The trace of Sobolev-Slobodeckij spaces on Lipschitz domains, Manuscripta Mathematica, vol.35, issue.1, pp.47-65, 1987. ,
DOI : 10.1007/BF01169082
Optimal Design, Optimization Techniques Modeling and Optimization in the Service of Man Part 2, Lecture Notes in Computer Science, pp.41-52, 2005. ,
The trace to the boundary of Sobolev spaces on a snowflake, Manuscripta Mathematica, vol.42, issue.1, pp.117-125, 1991. ,
DOI : 10.5802/aif.684