Found 102 Documents (Results 1–100)
Tangential cone condition for the full waveform forward operator in the viscoelastic regime: the nonlocal case. (English) Zbl 1536.35371
Analytical study of Love-type wave propagation in a composite structure of viscoelastic materials. (English) Zbl 1522.74055
Convergence analysis on seismic tomography for inverse problems of acoustic wave propagation. (English) Zbl 1498.65151
Helmholtz equation for a Neumann condition on a curved boundary: spurious resonances. (English) Zbl 1497.35116
A smoothing scheme for seismic wave propagation simulation with a mixed FEM of diffusionized wave equation. (English) Zbl 07542600
A three-dimensional indirect boundary integral equation method for the scattering of seismic waves in a poroelastic layered half-space. (English) Zbl 1521.74323
Parabolic equation techniques for seismology, seismo-acoustics, and arctic acoustics. (English) Zbl 1533.86001
Parabolic equation modeling of Scholte waves and other effects along sloping fluid-solid interfaces. (English) Zbl 1533.74078
Decay in systems with neutral short-wavelength stability: the presence of a zero mode. (English) Zbl 1492.74110
A multi-level parallel algorithm for seismic imaging based on one-way wave equation migration. (English) Zbl 1524.35348
Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime. (English) Zbl 1486.65149
Waves and rays in elastic continua. 4th edition. (English) Zbl 1459.74002
Hackensack, NJ: World Scientific (ISBN 978-981-12-2640-3/hbk; 978-981-122-642-7/ebook). xxxv, 643 p. (2021).
Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling. (English) Zbl 1462.65005
Erratum to: “Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity”. (English) Zbl 1469.35254
Dreamlet: a new representation and migration of seismic wavefield in full local domains. (English) Zbl 1473.86023
A seismic depth migration method based on varied-coefficient acoustic equation. (Chinese. English summary) Zbl 1474.86014
MSC:
86A15
Deep learning seismic substructure detection using the frozen Gaussian approximation. (English) Zbl 1435.86002
A modified wave equation with diffusion effects and its application as a smoothing scheme for seismic wave propagation simulations. (English) Zbl 1499.65394
Inverse problems for abstract evolution equations. II: Higher order differentiability for viscoelasticity. (English) Zbl 1427.35361
SIAM J. Appl. Math. 79, No. 6, 2639-2662 (2019); erratum ibid. 81, No. 1, 282-283 (2021).
A multigrid solver to the Helmholtz equation with a point source based on travel time and amplitude. (English) Zbl 1524.65929
A nonlinear method for imaging with acoustic waves via reduced order model backprojection. (English) Zbl 1401.86006
Approximate inverse for the common offset acquisition geometry in 2D seismic imaging. (English) Zbl 1404.86031
Periodic solutions for one dimensional wave equation with bounded nonlinearity. (English) Zbl 1406.35021
A local adaptive method for the numerical approximation in seismic wave modelling. (English) Zbl 1381.86004
On multiple modes of propagation of high-order finite element methods for the acoustic wave equation. (English) Zbl 1382.65324
Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 509-518 (2017).
An iterative method for 2D inverse scattering problems by alternating reconstruction of medium properties and wavefields: theory and application to the inversion of elastic waveforms. (English) Zbl 1371.35354
Rays, waves, and scattering. Topics in classical mathematical physics. (English) Zbl 1386.00065
Princeton Series in Applied Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-14837-3/hbk; 978-1-4008-8540-4/ebook). xv, 588 p. (2017).
Reviewer: Georg Hebermehl (Berlin)
MSC:
00A79
78-01
78A40
78A45
78A46
76B15
76B20
76B55
76B60
76B65
76E17
76Q05
74Jxx
81Q05
81U05
81U20
85A25
86A05
86A15
35Q60
35Q35
35Q74
Dispersion analysis of discontinuous Galerkin method on triangular mesh for elastic wave equation. (English) Zbl 1459.65185
Hamiltonian canonical equations of elastic medium and symplectic geometric algorithm of acoustic wave equation. (Chinese. English summary) Zbl 1374.65205
An FC-based spectral solver for elastodynamic problems in general three-dimensional domains. (English) Zbl 1351.74162
A class of preconditioned conjugate gradient methods for solving full-waveform inversion problem. (Chinese. English summary) Zbl 1363.65045
Apparent attenuation of shear waves propagating through a randomly stratified anisotropic medium. (English) Zbl 1339.60089
A semismooth Newton-CG method for constrained parameter identification in seismic tomography. (English) Zbl 1325.86001
Waves and rays in elastic continua. 3rd revised ed. (English) Zbl 1316.74002
Hackensack, NJ: World Scientific (ISBN 978-981-4641-75-3/hbk). xxxi, 621 p. (2015).
Reviewer: Fiazud Din Zaman (Dhahran)
Analytical ray tracing system: introducing art, a C-library designed for seismic applications. (English) Zbl 1344.86001
On the linearization of operators related to the full waveform inversion in seismology. (English) Zbl 1319.35300
Reviewer: Elena V. Tabarintseva (Chelyabinsk)
Propagation of G-type seismic waves in heterogeneous layer lying over an initially stressed heterogeneous half-space. (English) Zbl 1298.86006
MSC:
86A15
Efficient scalable algorithms for solving dense linear systems with hierarchically semiseparable structures. (English) Zbl 1285.65017
A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. (English) Zbl 1287.35087
Seismic scalar wave equation with variable coefficients modeling by a new convolutional differentiator. (English) Zbl 1216.86004
A new GL method for mathematical and physical problems. (English) Zbl 1207.65123
Yang, Yisong (ed.) et al., Perspectives in mathematical sciences. Hackensack, NJ: World Scientific (ISBN 978-981-4289-30-6/hbk). Interdisciplinary Mathematical Sciences 9, 293-306 (2010).
Acoustic inverse scattering via Helmholtz operator factorization and optimization. (English) Zbl 1201.65193
A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. (English) Zbl 1364.74016
Reverse-time continuation of elastic waves. (Russian, English) Zbl 1212.86058
Sib. Zh. Vychisl. Mat. 12, No. 3, 341-350 (2009); translation in Numer. Analysis Appl. 2, No. 3, 272-280 (2009).
MSC:
86A15
Simulation of axis-symmetric seismic waves in fluid-filled boreholes in the presence of a drill string. (English) Zbl 1154.86001
A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion. (English) Zbl 1142.65052
Stable difference approximations for the elastic wave equation in second order formulation. (English) Zbl 1158.65064
Reviewer: Yaşar Sözen (Istanbul)
Lattice Boltzmann model for the multi-seismic resources pressure wave. (Chinese. English summary) Zbl 1150.76492
MSC:
76P05
86A17
A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems. (English) Zbl 1133.65089
A wavelet multiscale-homotopy method for the inverse problem of two-dimensional acoustic wave equation. (English) Zbl 1122.65386
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation. (English) Zbl 1120.65127
A comparison of the imaging conditions and principles in depth migration algorithms. (English) Zbl 1136.86007
Fourier-integral-operator approximation of solutions to first-order hyperbolic pseudodifferential equations I: Convergence in Sobolev spaces. (English) Zbl 1104.35083
Reviewer: Petar Popivanov (Sofia)
Nonlinear singular integral equations in elastodynamics by using Hilbert transformations. (English) Zbl 1130.74021
Computational framework for the BIE solution to inverse scattering problems in elastodynamics. (English) Zbl 1038.74663
Separation-of-variables as a preconditioner for an iterative Helmholtz solver. (English) Zbl 1013.65117
Some results of the group approach in the kinematic seismic problem. (English) Zbl 0979.86008
Reviewer: V.Grebenev (Novosibirsk)
Alternative single scatter approximation for one-way wave propagation. (English) Zbl 0959.35008
Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 934-938 (2000).
On the inverse seismic problem for horizontally layered media: Subsidiary study. (English) Zbl 0887.35161
Chavent, Guy (ed.) et al., Inverse problems of wave propagation and diffraction. Proceedings of the conference, Aix-les-Bains, France, September 23-27, 1996. Berlin: Springer. Lect. Notes Phys. 486, 275-293 (1997).
Inverse problem solution for vibration equation with directed sources. (English. Russian original) Zbl 0913.35149
Mosc. Univ. Comput. Math. Cybern. 1996, No. 1, 50-56 (1996); translation from Vestn. Mosk. Univ., Ser XV 1996, No. 1, 55-61 (1996).
Reviewer: Yu.A.Ryabov (Moskva)
Numerical investigation of an analytic solution of a multi-dimensional Lippman-Schwinger seismic inverse problem. (English) Zbl 0822.65127
Cost-effective staggered schemes for the numerical simulation of wave propagation. (English) Zbl 0833.73072
Reviewer: V.Pereyra (Los Altos)
Quantitative study of nonstationary interference wave fields in layered-homogeneous elastic media with plane-parallel interfaces. I: Statements of the problems and efficient methods of their solution. (English. Russian original) Zbl 0907.73015
J. Math. Sci., New York 84, No. 2, 961-1068 (1997); translation from Zap. Nauchn. Semin. POMI 214, 7-186 (1994).
Quantitative study of nonstationary interference wave fields in layered-homogeneous elastic media with plane-parallel interfaces. I: Statements of problems and rational methods of their solution. (Russian. English summary) Zbl 0872.73005
Reviewer: P.P.Teodorescu (Bucureşti)
Computational methods in geosciences. Papers based on a conference on mathematical and computational issues in geophysical fluid and solid mechanics, held in Sept. 1989. (English) Zbl 0753.73007
Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 207 p. (1992).
Reviewer: N.Cristescu (Gainesville)
Solution of the inverse dynamic problem of seismic surveying with unknown source. (Russian) Zbl 0737.35140
Current problems in applied mathematics, Work Collect., Moskva, 5-9 (1989).
Reviewer: H.Yamagata (Osaka)
Solution of the inverse dynamic problem of seismology with an unknown source. (English. Russian original) Zbl 0799.35218
Comput. Math. Model. 2, No. 3, 252-255 (1991); translation from Current problems in applied mathematics, Work Collect., Moskva, 5-9 (1989).
Parallelism in seismic computations: Two case studies. (English) Zbl 0661.65134
Parallel systems and computation, Proc. 2nd IBM Eur. Inst. Semin., Oberlech/Austria 1986, 273-294 (1988).
Reviewer: G.Dimitriu
Estimation of discontinuous coefficients and boundary parameters for hyperbolic systems. (English) Zbl 0645.65087
Reviewer: V.Pereyra
Least-squares 2-D inversion of horizontally stratified media. (English) Zbl 0678.73032
Computing methods in applied sciences and engineering VII, Proc. 7th Int. Symp., Versailles/France 1985, 563-577 (1986).
Formulation of an inverse boundary value problem for the wave equation and an iterative method of solving it. (English. Russian original) Zbl 0619.35103
Sov. Phys., Dokl. 31, 301-302 (1986); translation from Dokl. Akad. Nauk SSSR 287, 818-821 (1986).
Mathematical and computational methods in seismic exploration and reservoir modeling. (Proceedings of the Conference on Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, Houston, Texas, January 21–24, 1985). (English) Zbl 0609.73102
Philadelphia: SIAM - Society for Industrial and Applied Mathematics. XIV, 277 p. (1986).
Reviewer: N.Cristescu
Non-uniqueness of the solution to an inverse problem in geophysics. (English) Zbl 0608.35077
Reviewer: H.W.Engl
High order approximation of one-way wave equations. (English) Zbl 0581.65063
Reviewer: F.v.Finckenstein
A high-angle one-way wave equation for seismic wave propagation along rough and sloping interfaces. (English) Zbl 0568.73027
Inversion of a normally incident reflection seismogram by the Gopinath- Sondhi integral equation. (English) Zbl 0563.73021
A note on the numerical solution of the wave equation with piecewise smooth coefficients. (English) Zbl 0558.65072
Reviewer: M.M.Aral
Mathematical methods for wave phenomena. (English) Zbl 0554.35002
Computer Science and Applied Mathematics. Orlando etc.: Academic Press, Inc. (Harcourt Brace Jovanovich, Publishers). XV, 341 p. $ 55.00; £38.50 (1984).
Reviewer: T.Ruggeri
Derivation and application of extended parabolic wave theories. I. The factorized Helmholtz equation. (English) Zbl 0551.76069
Reviewer: Z.Qian
Inverse problems for hyperbolic systems with unknown boundary parameters. (English) Zbl 0536.93018
Control theory for distributed parameter systems and applications, Proc. Conf., Vorau/Styria 1982, Lect. Notes Control Inf. Sci. 54, 35-44 (1983).
Computational methods for estimation of parameters in hyperbolic systems. (English) Zbl 0535.65086
Inverse scattering: theory and application, Conf. Tulsa/Okla. 1983, 181-193 (1983).
A method of parameter estimation for stochastic distributed parameter systems and its applications to seismic profiles identification. (English) Zbl 0526.93050
Control science and technology for the progress of society, Proc. 8th trienn. World Congr. IFAC, Kyoto 1981, Vol. 1, Control theory, 201-206 (1982).
Linear formulation of the inverse problem for the amplitude of seismic waves. (English) Zbl 0517.73114
Inverse imaging methods in exploration seismology. (English) Zbl 0447.73033
Computing methods in applied sciences and engineering, Proc. 4th int. Symp., Versailles 1979, 547-552 (1980).
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