Rapid computation of far-field statistics for random obstacle scattering
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[1] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[2] G. C. Hsiao,et al. Properties of far‐field operators in acoustic scattering , 1989 .
[3] Harald Niederreiter,et al. Random number generation and Quasi-Monte Carlo methods , 1992, CBMS-NSF regional conference series in applied mathematics.
[4] R. Kress. Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering , 1985 .
[5] Daniel M. Tartakovsky,et al. Numerical Methods for Differential Equations in Random Domains , 2006, SIAM J. Sci. Comput..
[6] R. Caflisch. Monte Carlo and quasi-Monte Carlo methods , 1998, Acta Numerica.
[7] M. Loève,et al. Elementary Probability Theory , 1977 .
[8] Helmut Harbrecht,et al. Novel results for the anisotropic sparse grid quadrature , 2015, J. Complex..
[9] Peter Werner,et al. Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung , 1965 .
[10] G. C. Hsiao,et al. Surface gradients and continuity properties for some integral operators in classical scattering theory , 1989 .
[11] R. Kress. Singular Boundary Integral Equations , 2014 .
[12] Ralf Hiptmair,et al. Large deformation shape uncertainty quantification in acoustic scattering , 2018, Adv. Comput. Math..
[13] R. Kress,et al. Integral equation methods in scattering theory , 1983 .
[14] Michel Loève,et al. Probability Theory I , 1977 .
[15] C. Schwab,et al. Electromagnetic wave scattering by random surfaces: Shape holomorphy , 2017 .
[16] Fabio Nobile,et al. Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations , 2013, Comput. Math. Appl..
[17] E. Hille. Functional Analysis And Semi-Groups , 1948 .
[18] A. Kirsch. The domain derivative and two applications in inverse scattering theory , 1993 .
[19] Olaf Steinbach,et al. Fast Evaluation of Volume Potentials in Boundary Element Methods , 2010, SIAM J. Sci. Comput..
[20] Leslie Greengard,et al. A fast algorithm for particle simulations , 1987 .
[21] Xiaoqun Wang. A Constructive Approach to Strong Tractability Using Quasi-Monte Carlo Algorithms , 2002, J. Complex..
[22] M. Peters,et al. A note on the domain mapping method with rough diffusion coefficients , 2018 .
[23] W. Tobocman,et al. Inverse acoustic wave scattering in two dimensions from impenetrable targets , 1989 .
[24] Helmut Harbrecht,et al. Analysis of the domain mapping method for elliptic diffusion problems on random domains , 2016, Numerische Mathematik.
[25] Michael Peters,et al. Higher-Order Quasi-Monte Carlo for Bayesian Shape Inversion , 2018, SIAM/ASA J. Uncertain. Quantification.
[26] Claudio Canuto,et al. A fictitious domain approach to the numerical solution of PDEs in stochastic domains , 2007, Numerische Mathematik.
[27] Helmut Harbrecht,et al. Efficient approximation of random fields for numerical applications , 2015, Numer. Linear Algebra Appl..
[28] H. Harbrecht,et al. On the low-rank approximation by the pivoted Cholesky decomposition , 2012 .