Matthias Maischak Dissertation Help

  • T. Abboud, P. Joly, J. Rodriguez and I. Terrasse, Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains, J. Comp. Phys. 230 (2011), 5877–5907.

    Zentralblatt MATH: 05920318

  • A. Aimi, M. Diligenti, A. Frangi and C. Guardasoni, A stable 3D energetic Galerkin BEM approach for wave propagation interior problems, Eng. Anal. Bound. Elem. 36 (2012), 1756–1765.

    Mathematical Reviews (MathSciNet): MR2972209
    Zentralblatt MATH: 1351.74094
    Digital Object Identifier: doi:10.1016/j.enganabound.2012.06.003

  • ––––, Neumann exterior wave propagation problems: Computational aspects of 3D energetic Galerkin BEM, Comp. Mech. 51 (2013), 475–493.
  • ––––, Energetic BEM-FEM coupling for wave propagation in 3D multidomains, Int. J. Numer. Meth. Eng. 97 (2014), 377–394.

    Mathematical Reviews (MathSciNet): MR3157682
    Zentralblatt MATH: 1352.65317
    Digital Object Identifier: doi:10.1002/nme.4602

  • A. Aimi, M. Diligenti and C. Guardasoni, On the energetic Galerkin boundary element method applied to interior wave propagation problems, J. Comp. Appl. Math. 235 (2011), 1746–1754.

    Mathematical Reviews (MathSciNet): MR2755028
    Zentralblatt MATH: 1209.65094
    Digital Object Identifier: doi:10.1016/j.cam.2010.02.011

  • ––––, Numerical integration schemes for applications of energetic Galerkin BEM to wave propagation problems, Riv. Math., Univ. Parma 2 (2011), 147–187.

    Mathematical Reviews (MathSciNet): MR2895495
    Zentralblatt MATH: 1238.65095

  • A. Aimi, M. Diligenti, C. Guardasoni, I. Mazzieri and S. Panizzi, An energy approach to space-time Galerkin BEM for wave propagation problems, Int. J. Numer. Meth. Eng. 80 (2009), 1196–1240.

    Mathematical Reviews (MathSciNet): MR2588843
    Zentralblatt MATH: 1176.74203
    Digital Object Identifier: doi:10.1002/nme.2660

  • A. Aimi, M. Diligenti, C. Guardasoni and S. Panizzi, Energetic BEM-FEM coupling for wave propagation in layered media, Comm. Appl. Ind. Math. 3 (2012), 418–438.

    Zentralblatt MATH: 1329.65287

  • H. Antes and J. Baaran, Noise radiation from moving surfaces, Eng. Anal. Bound. Elem. 25 (2001), 725–740.

    Zentralblatt MATH: 1102.76324
    Digital Object Identifier: doi:10.1016/S0955-7997(01)00060-1

  • I. Babuska and B.Q. Guo, Regularity of the solution of elliptic problems with piecewise analytic data, I, Boundary value problems for linear elliptic equation of second order, SIAM J. Math. Anal. 19 (1988), 172–203.

    Zentralblatt MATH: 0647.35021
    Digital Object Identifier: doi:10.1137/0519014

  • A. Bamberger and T. Ha Duong, Formulation variationnelle espace-temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique, Math. Meth. Appl. Sci. 8 (1986), 405–435, 598–608.

    Zentralblatt MATH: 0618.35069
    Digital Object Identifier: doi:10.1002/mma.1670080127

  • L. Banjai and M. Kachanovska, Fast convolution quadrature for the wave equation in three dimensions, J. Comp. Phys. 279 (2014), 103–126.

    Zentralblatt MATH: 1352.65320
    Digital Object Identifier: doi:10.1016/j.jcp.2014.08.049

  • L. Banjai, C. Lubich and F.-J. Sayas, Stable numerical coupling of exterior and interior problems for the wave equation, Numer. Math. 129 (2015), 611–646.

    Mathematical Reviews (MathSciNet): MR3317813
    Zentralblatt MATH: 1314.65122
    Digital Object Identifier: doi:10.1007/s00211-014-0650-0

  • L. Banjai and S. Sauter, Rapid solution of the wave equation in unbounded domains, SIAM J. Numer. Anal. 47 (2008/09), 227–249.

    Zentralblatt MATH: 1191.35020
    Digital Object Identifier: doi:10.1137/070690754

  • L. Banjai and M. Schanz, Wave propagation problems treated with convolution quadrature and BEM, in Fast boundary element methods in engineering and industrial applications, Lect. Notes Appl. Comp. Mech. 63, Springer, Berlin, 2012.

    Zentralblatt MATH: 1248.65103

  • L. Banz, H. Gimperlein, Z. Nezhi and E.P. Stephan, Time domain BEM for sound radiation of tires, Comp. Mech. 58 (2016), 45–57.

    Zentralblatt MATH: 06605486

  • M. Costabel, Time-dependent problems with the boundary integral equation method, in Encyclopedia of computational mechanics, E. Stein, R. de Borst and J.R. Hughes, eds., John Wiley & Sons, Chichester, 2004.
  • T.A. Cruse and F.J. Rizzo, A direct formulation and numerical solution of the general transient elastodynamic problem I, J. Math. Anal. Appl. 22 (1968), 244–259.

    Zentralblatt MATH: 0167.16301
    Digital Object Identifier: doi:10.1016/0022-247X(68)90171-6

  • P.J. Davies and D.B. Duncan, Convolution-in-time approximations of time domain boundary integral equations, SIAM J. Sci. Comp. 35 (2013), B43–B61.

    Zentralblatt MATH: 1272.65074

  • ––––, Convolution spline approximations for time domain boundary integral equations, J. Integral Equat. Appl. 26 (2014), 369–412.

    Mathematical Reviews (MathSciNet): MR3273900
    Zentralblatt MATH: 1307.65127
    Digital Object Identifier: doi:10.1216/JIE-2014-26-3-369
    Project Euclid: euclid.jiea/1414761103

  • Y. Ding, A. Forestier and T. Ha Duong, A Galerkin scheme for the time domain integral equation of acoustic scattering from a hard surface, J. Acoust. Soc. Amer. 86 (1989), 1566–1572.
  • C.L. Epstein, L. Greengard and T. Hagstrom, On the stability of time domain integral equations for acoustic wave propagation, Disc. Cont. Dynam. Syst. 36 (2016), 4367–4382.

    Zentralblatt MATH: 1333.65117
    Digital Object Identifier: doi:10.3934/dcds.2016.36.4367

  • M. Filipe, Etude mathematique et numerique d'un probleme d'interaction fluide-structure dependant du temps par la methode de couplage elements finis–Equations integrals, Ph.D. dissertation, Ecole Polytechnique, Palaiseau, 1994.
  • M. Friedmann and R. Shaw, Diffraction of pulses by cylindrical obstacles of arbitrary cross section, J. Appl. Mech. 29 (1962), 40–46.
  • H. Gimperlein, Z. Nezhi and E.P. Stephan, A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space, Math. Meth. Appl. Sci. 40 (2017), 448–462.

    Mathematical Reviews (MathSciNet): MR3596548
    Zentralblatt MATH: 06680534
    Digital Object Identifier: doi:10.1002/mma.3340

  • H. Gimperlein, Z. Nezhi, C. Özdemir, D. Stark, E.P. Stephan, A residual a posteriori error estimate for the time domain boundary element method, preprint.
  • H. Gimperlein, C. Özdemir and E.P. Stephan, Time domain boundary element methods for the Neumann problem and sound radiation of tires: Error estimates and acoustic problems, J. Comp. Mathematics, to appear.
  • H. Gimperlein and E.P. Stephan, Analysis of a time-dependent FEM/BEM coupling method for fluid-structure interaction, in preparation.
  • M. Gläfke, Adaptive methods for time domain boundary integral equations, Ph.D. dissertation, Brunel University, Uxbridge, 2012.
  • M. Gläfke and M. Maischak, Regularity of 2D time domain boundary integral operators, preprint.
  • ––––, Wave-number explicit generalised mapping properties for Helmholtz boundary integral operators, applied to time domain boundary integral operators, preprint.
  • T. Ha Duong, On retarded potential boundary integral equations and their discretizations, in Topics in computational wave propagation, Lect. Notes Comp. Sci. Eng. 31, Springer, Berlin, 2003.

    Zentralblatt MATH: 1051.78018

  • T. Ha Duong, B. Ludwig and I. Terrasse, A Galerkin BEM for transient acoustic scattering by an absorbing obstacle, Int. J. Numer. Meth. Eng. 57 (2003), 1845–1882.

    Mathematical Reviews (MathSciNet): MR1993643
    Zentralblatt MATH: 1062.76534
    Digital Object Identifier: doi:10.1002/nme.745

  • G.D. Hatzigeorgiou and D.E. Beskos, Dynamic inelastic structural analysis by the BEM: A review, Eng. Anal. Bound. Elem. 35 (2011), 159–169.

    Zentralblatt MATH: 1259.74047
    Digital Object Identifier: doi:10.1016/j.enganabound.2010.08.002

  • G.C. Hsiao, T. Sanchez-Vizuet and F.-J. Sayas, Boundary and coupled boundary-finite element methods for transient wave-structure interaction, preprint.
  • G.C. Hsiao, F.-J. Sayas and R.J. Weinacht, Time-dependent fluid-structure interaction, Math. Meth. Appl. Sci., special issue, doi: 10.1002/mma.3427, 2015.

    Zentralblatt MATH: 06680536

  • M. Maischak, E. Ostermann, E.P. Stephan, TD-BEM for sound radiation in three dimensions and the numerical evaluation of retarded potentials, Int. Conf. Acoust., NAG/DGA., 2009.
  • W.J. Mansur, A time-stepping technique to solve wave propagation problems using the boundary element method, Ph.D. dissertation, University of Southampton, 1983.
  • Z. Nezhi, Adaptive time domain boundary element method for sound radiation of tires, Ph.D. dissertation, Leibniz Universität, Hannover, Germany, 2014.
  • M. Ochmann, The complex equivalent source method for sound propagation over an impedance plane, J. Acoust. Soc. Amer. 116 (2004), 3304–3311.
  • ––––, Closed form solutions for the acoustical impulse response over a masslike or an absorbing plane, J. Acoust. Soc. Amer. 129 (2011), 3502–3512.
  • E. Ostermann, Numerical methods for space-time variational formulations of retarded potential boundary integral equations, Ph.D. dissertation, Leibniz Universität, Hannover, 2009.
  • K.M. Rasmussen, S.R.K. Nielsen and P.H. Kirkegaard, Boundary element method solution in the time domain for a moving time-dependent force, Comp. Struct. 79 (2001), 691–701.
  • S. Sauter and A. Veit, Adaptive time discretization for retarded potentials, Numer. Math. 132 (2016), 569–595.

    Zentralblatt MATH: 1336.65159
    Digital Object Identifier: doi:10.1007/s00211-015-0726-5

  • F.-J. Sayas, Retarded potentials and time domain boundary integral equations: A road-map, Springer Ser. Comp. Math. 50, Springer, New York, 2016.
  • G.E. Stavroulakis, H. Antes and P.D. Panagiotopoulos, Transient elastodynamics around cracks including contact and friction, Comp. Meth. Appl. Mech. Eng. 177 (1999), 427–440.

    Zentralblatt MATH: 0955.74036
    Digital Object Identifier: doi:10.1016/S0045-7825(99)00391-6

  • E.P. Stephan, M. Maischak and E. Ostermann, Transient boundary element method and numerical evaluation of retarded potentials, Conference proceedings, Computational Science-ICCS 2008.
  • G. Sylvand, La Methode Multipole Rapide en Electromagnetism: Performances, Parallelisation, Applications, Ph.D. dissertation, Ecole Nationale des Ponts et Chaussees, Marne-le-Vallee, 2002.
  • I. Terrasse, Résolution mathématique et numérique des équations de Maxwell instationnaires par une méthode de potentiels retardés, Ph.D. dissertation, Ecole Polytechnique, Palaiseau, 1993.
  • A. Veit, Numerical methods for the time domain boundary integral equations, Ph.D. dissertation, Univ. Zürich, Zurich, 2011.
  • O. von Estorff, et al., Abschlussbericht SPERoN 2020–Teil II, Entwicklung einen performanten Rechenmodells zur Berechnung und Reduzierung der Geräuschabstrahlung von Reifen, Bundes. Strassen., 2014.
  • A.E. Yilmaz, J.-M. Jin, E. Michielssen, Time domain adaptive integral method for surface integral equations, IEEE Trans. Ant. Prop. 52 (2004) 2692–2708.

    Mathematical Reviews (MathSciNet): MR2107320
    Digital Object Identifier: doi:10.1109/TAP.2004.834399

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