Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods

Bordas, 2010, Alleviating the mesh burden in computational solid mechanics, Proc. ECT2010 Greengard, 1987, A fast algorithm for particle simulations, J. Comput. Phys., 73, 325, 10.1016/0021-9991(87)90140-9 Zheng, 2019, Fictitious eigenfrequencies in the BEM for interior acoustic problems, Eng. Anal. Bound. Elem., 104, 170, 10.1016/j.enganabound.2019.03.042 Beylkin, 1991, Fast wavelet transforms and numerical algorithms I, Comm. Pure Appl. Math., 44, 141, 10.1002/cpa.3160440202 Phillips, 1997, A precorrected-FFT method for electrostatic analysis of complicated 3-D structures, IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., 16, 1059, 10.1109/43.662670 Bebendorf, 2000, Approximation of boundary element matrices, Numer. Math., 86, 565, 10.1007/PL00005410 Perrey-Debain, 2003, Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications, J. Sound Vib., 261, 839, 10.1016/S0022-460X(02)01006-4 Bériot, 2010, Plane wave basis in Galerkin BEM for bidimensional wave scattering, Eng. Anal. Bound. Elem., 34, 130, 10.1016/j.enganabound.2009.07.014 Peake, 2013, Novel basis functions for the partition of unity boundary element method for Helmholtz problems, Internat. J. Numer. Methods Engrg., 93, 905, 10.1002/nme.4411 Fischer, 2005, Fast BEM–FEM mortar coupling for acoustic–structure interaction, Internat. J. Numer. Methods Engrg., 62, 1677, 10.1002/nme.1242 Zhao, 2019, Topology optimization of exterior acoustic-structure interaction systems using the coupled FEM-BEM method, Internat. J. Numer. Methods Engrg., 82, 858 Chen, 2014, FEM/wideband FMBEM coupling for structural-acoustic design sensitivity analysis, Comput. Methods Appl. Mech. Engrg., 276, 1, 10.1016/j.cma.2014.03.016 Chen, 2016, Structural–acoustic sensitivity analysis of radiated sound power using a finite element/ discontinuous fast multipole boundary element scheme, Int. J. Numer. Methods Fluids, 82, 858, 10.1002/fld.4244 Chen, 2017, An adjoint operator approach for sensitivity analysis of radiated sound power in fully coupled structural-acoustic systems, J. Comput. Acoust., 25, 1750003, 10.1142/S0218396X17500035 Natarajan, 2017, A scaled boundary finite element formulation over arbitrary faceted star convex polyhedra, Eng. Anal. Bound. Elem., 80, 218, 10.1016/j.enganabound.2017.03.007 C. Marot, J. Pellerin, J.-F. Remacle, One machine, one minute, three billion tetrahedra, arXiv preprint arXiv:1805.08831, 2018. Christiansen, 2014, Topology optimization using an explicit interface representation, Struct. Multidiscip. Optim., 49, 387, 10.1007/s00158-013-0983-9 Christiansen, 2015, Combined shape and topology optimization of 3D structures, Comput. Graph., 46, 25, 10.1016/j.cag.2014.09.021 Lian, 2017, Combined shape and topology optimization for minimization of maximal von Mises stress, Struct. Multidiscip. Optim., 55, 1541, 10.1007/s00158-017-1656-x Zhou, 2018, Shape morphing and topology optimization of fluid channels by explicit boundary tracking, Internat. J. Numer. Methods Fluids, 88, 296, 10.1002/fld.4667 Wang, 2003, A level set method for structural topology optimization, Comput. Methods Appl. Mech. Engrg., 192, 227, 10.1016/S0045-7825(02)00559-5 Hughes, 2005, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Comput. Methods Appl. Mech. Engrg., 194, 4135, 10.1016/j.cma.2004.10.008 Cottrell, 2006, Isogeometric analysis of structural vibrations, Comput. Methods Appl. Mech. Engrg., 195, 5257, 10.1016/j.cma.2005.09.027 Benson, 2010, Isogeometric shell analysis: The Reissner-Mindlin shell, Comput. Methods Appl. Mech. Engrg., 199, 276, 10.1016/j.cma.2009.05.011 Bazilevs, 2010, Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes, Comput. Methods Appl. Mech. Engrg., 199, 780, 10.1016/j.cma.2008.11.020 Bazilevs, 2008, Isogeometric fluid-structure interaction: theory, algorithms, and computations, Comput. Mech., 43, 3, 10.1007/s00466-008-0315-x De Lorenzis, 2011, A large deformation frictional contact formulation using NURBS-based isogeometric analysis, Internat. J. Numer. Methods Engrg., 10.1002/nme.3159 Nguyen, 2014, Nitsche’s method for two and three dimensional NURBS patch coupling, Comput. Mech., 53, 1163, 10.1007/s00466-013-0955-3 T. Khajah, X. Antoine, S. Bordas, Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems, arXiv preprint arXiv:1610.01694, 2016. Bazilevs, 2010, Isogeometric analysis using T-splines, Comput. Math. Appl., 199, 229 Nguyen-Thanh, 2011, Rotation free isogeometric thin shell analysis using PHT-splines, Comput. Methods Appl. Mech. Engrg., 200, 3410, 10.1016/j.cma.2011.08.014 Cirak, 2002, Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision, Comput. Aided Des., 34, 137, 10.1016/S0010-4485(01)00061-6 Scott, 2011, Isogeometric finite element data structures based on Bézier extraction of T-splines, Internat. J. Numer. Methods Engrg., 88, 126, 10.1002/nme.3167 Nguyen, 2015, Isogeometric analysis: an overview and computer implementation aspects, Math. Comput. Simulation, 117, 89, 10.1016/j.matcom.2015.05.008 Xu, 2013, Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method, J. Comput. Phys., 252, 275, 10.1016/j.jcp.2013.06.029 Xu, 2013, Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis, Comput. Aided Des., 45, 812, 10.1016/j.cad.2011.05.007 Politis, 2009, An isogeometric BEM for exterior potential-flow problems in the plane Simpson, 2012, A two-dimensional isogeometric boundary element method for elastostatic analysis, Comp. Methods Appl. Mech. Eng., 209–212, 87, 10.1016/j.cma.2011.08.008 Simpson, 2013, An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects, Comput. Struct., 118, 2, 10.1016/j.compstruc.2012.12.021 Scott, 2013, Isogeometric boundary element analysis using unstructured T-splines, Comput. Methods Appl. Mech. Engrg., 254, 197, 10.1016/j.cma.2012.11.001 Peng, 2017, Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment, Int. J. Fract., 204, 55, 10.1007/s10704-016-0153-3 Peng, 2017, Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth, Comput. Methods Appl. Mech. Engrg., 316, 151, 10.1016/j.cma.2016.05.038 Ginnis, 2014, Isogeometric boundary-element analysis for the wave-resistance problem using T-splines, Comput. Methods Appl. Mech. Engrg., 279, 425, 10.1016/j.cma.2014.07.001 Beer, 2016, Isogeometric boundary element analysis with elasto-plastic inclusions. part 1: plane problems, Comput. Methods Appl. Mech. Engrg., 308, 552, 10.1016/j.cma.2016.03.035 Beer, 2017, Isogeometric boundary element analysis with elasto-plastic inclusions. part 2: 3-D problems, Comput. Methods Appl. Mech. Engrg., 315, 418, 10.1016/j.cma.2016.11.007 Liu, 2018, Isogeometric FEM-BEM coupled structural-acoustic analysis of shells using subdivision surfaces, Internat. J. Numer. Methods Engrg., 113, 1507, 10.1002/nme.5708 Simpson, 2018, An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations, J. Comput. Phys., 362, 264, 10.1016/j.jcp.2018.01.025 Simpson, 2016, Acceleration of isogeometric boundary element analysis through a black-box fast multipole method, Eng. Anal. Bound. Elem., 66, 168, 10.1016/j.enganabound.2016.03.004 Li, 2018, Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition, Internat. J. Numer. Methods Engrg., 114, 975, 10.1002/nme.5773 Nguyen, 2016, An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems, Comput. Methods Appl. Mech. Engrg., 306, 252, 10.1016/j.cma.2016.04.002 Feischl, 2015, Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations, Comput. Methods Appl. Mech. Engrg., 290, 362, 10.1016/j.cma.2015.03.013 Feischl, 2017, Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations, Numer. Math., 136, 147, 10.1007/s00211-016-0836-8 Simpson, 2014, Acoustic isogeometric boundary element analysis, Comput. Methods Appl. Mech. Engrg., 269, 265, 10.1016/j.cma.2013.10.026 Peake, 2015, Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems, Comput. Methods Appl. Mech. Engrg., 284, 762, 10.1016/j.cma.2014.10.039 Sören, 2017, Evaluation of hypersingular and nearly singular integrals in the isogeometric boundary element method for acoustics, Comput. Methods Appl. Mech. Engrg., 325, 488, 10.1016/j.cma.2017.07.025 Li, 2011, Isogeometric analysis and shape optimization via boundary integral, Comput. Aided Des., 43, 1427, 10.1016/j.cad.2011.08.031 Lian, 2016, Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity, Internat. J. Numer. Methods Engrg., 106, 972, 10.1002/nme.5149 Lian, 2017, Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines, Comput. Methods Appl. Mech. Engrg., 317, 1, 10.1016/j.cma.2016.11.012 Sun, 2018, Structural shape optimization by IGABEM and particle swarm optimization algorithm, Eng. Anal. Bound. Elem., 88, 26, 10.1016/j.enganabound.2017.12.007 Kostas, 2015, Ship-hull shape optimization with a T-spline based BEM–isogeometric solver, Comput. Methods Appl. Mech. Engrg., 284, 611, 10.1016/j.cma.2014.10.030 Chen, 2018, An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution, Comput. Methods Appl. Mech. Engrg., 336, 507, 10.1016/j.cma.2018.03.025 Liu, 2017, Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions, Eng. Anal. Bound. Elem., 85, 142, 10.1016/j.enganabound.2017.09.009 Guiggiani, 1987, Direct computation of Cauchy principal value integrals in advanced boundary elements, Internat. J. Numer. Methods Engrg., 24, 1711, 10.1002/nme.1620240908 Svanberg, 1987, The method of moving asymptotes–a new method for structural optimization, Internat. J. Numer. Methods Engrg., 24, 359, 10.1002/nme.1620240207 Rokhlin, 1985, Rapid solution of integral equations of classical potential theory, J. Comput. Phys., 60, 187, 10.1016/0021-9991(85)90002-6 Li, 2019, An adaptive SVD–Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method, Comput. Methods Appl. Mech. Engrg., 349, 312, 10.1016/j.cma.2019.02.023