Found 69 Documents (Results 1–69)
Implicit boundary conditions in partial differential equations discretizations: identifying spurious modes and model reduction. (English) Zbl 07811330
Electromagnetic wave scattering by a half-plane with generalized semitransparent boundary conditions. (English) Zbl 1507.78005
Sommerfeld’s solution as the limiting amplitude and asymptotics for narrow wedges. (English) Zbl 1428.35556
Absence of gaps in a lower part of the spectrum of a Laplacian with frequent alternation of boundary conditions in a strip. (English. Russian original) Zbl 1405.35020
Theor. Math. Phys. 195, No. 2, 690-703 (2018); translation from Teor. Mat. Fiz. 195, No. 2, 225-239 (2018).
Reviewer: Dian K. Palagachev (Bari)
Perfectly matched layer boundary integral equation method for wave scattering in a layered medium. (English) Zbl 1381.65096
Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions. (English) Zbl 1365.65266
Direct boundary integral equations method for acoustic problems in unbounded domains. (English) Zbl 1332.78016
A scalable multigrid method for solving indefinite Helmholtz equations with constant wave numbers. (English) Zbl 1340.65299
Transfer of Sommerfeld radiation conditions to the boundary of a bounded domain. (Russian) Zbl 1274.35064
Reviewer: Andrei Zemskov (Moskva)
MSC:
35J05
Hardy space methods for the numerical solution of scattering and resonance problems on unbounded domains. (Hardy-Raum Methoden zur numerischen Lösung von Streu- und Resonanzproblemen auf unbeschränkten Gebieten.) (English) Zbl 1154.65373
Tönning: Der Andere Verlag; Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultäten (Diss.). x, 127 p. (2008).
On the concentration of spectrum in the model problem of singular perturbation theory. (English. Russian original) Zbl 1167.34395
Dokl. Math. 75, No. 2, 197-200 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 27-30 (2007).
Reviewer: Oleh Omel’chenko (Berlin)
High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry. (English) Zbl 1118.78012
Reviewer: Nina Shokina (Freiburg)
Some mathematical problems in numerical relativity. (English) Zbl 1107.83006
Frauendiener, Jörg (ed.) et al., Analytical and numerical approaches to mathematical relativity. Papers based on the presentation at the 319th WE-Heraeus seminar ‘Mathematical relativity: New ideas and developments’, Bad Honnef, Germany, March 1–5, 2004. With a foreword by Roger Penrose. Berlin: Springer (ISBN 3-540-31027-4/pbk). Lecture Notes in Physics 692, 251-274 (2006).
Reviewer: Thoralf Chrobok (Berlin)
Application of generalized impedance boundary conditions to Sommerfeld half-space problem. (English) Zbl 1081.78503
Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions. (English) Zbl 1076.78008
Reviewer: Boris A. Malomed (Tel Aviv)
Absorbing boundary conditions for simulation of gravitational waves with spectral methods in spherical coordinates. (English) Zbl 1057.83009
Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. (English) Zbl 1055.34021
Reviewer: Manfred Möller (Johannesburg)
Preconditioners for spectral discretizations of Helmholtz’s equation with Sommerfeld boundary conditions. (English) Zbl 0988.65109
Resonance of a layered half-space with periodic cracks subjected to SH waves. (English) Zbl 1001.74062
Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions. (English) Zbl 0984.34010
Reviewer: Vyacheslav Pivovarchik (Odessa)
A linearization for a class of \(\lambda\)-nonlinear boundary eigenvalue problems. (English) Zbl 0959.34066
Reviewer: Manfred Möller (Johannesburg)
Solvability of the non-homogeneous Orr-Sommerfeld equation with bounded functions on a semi-infinite domain. (Solubilité de l’équation d’Orr-Sommerfeld non homogène pour les fonctions bornées sur un domaine semi-infini.) (French. Abridged English version) Zbl 0946.76019
New results on wave diffraction by canonical obstacles. (English) Zbl 0947.35032
Rossmann, Jürgen (ed.) et al., The Maz’ya anniversary collection. Vol. 2: Rostock conference on functional analysis, partial differential equations and applications, Rostock, Germany, August 31-September 4, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 110, 235-256 (1999).
Reviewer: R.Picard (Dresden)
Parallel solution of Helmholtz problems using additive Schwarz methods. (English) Zbl 0940.65121
DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 623-625 (1998).
Efficient iterative solution of the three-dimensional Helmholtz equation. (English) Zbl 0929.65089
Reviewer: Mária Lukáčová (Brno)
General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems). (English) Zbl 0910.73016
Radiation conditions and uniqueness for stationary oscillations in elastic plates. (English) Zbl 0887.35048
Efficient calculation of acoustic fields by boundary element method. (English) Zbl 0916.76043
Wendland, Wolfgang L. (ed.), Boundary element topics. Proceedings of the final conference of the priority research programme Boundary element methods 1989-1995 of the German Research Foundation, October 2–4, 1995 in Stuttgart, Germany. Berlin: Springer. 9-29 (1997).
Reviewer: A.Trad (Paris)
Thermoelastic oscillations of anisotropic bodies. (English) Zbl 0911.73019
Meister, Erhard (ed.), Modern mathematical methods in diffraction theory and its applications in engineering. Proceedings of the Sommerfeld ’96 workshop. Freudenstadt, Germany. September 30–October 4, 1996. Frankfurt am Main: Peter Lang, Europ. Verlag der Wissenschaften. Methoden Verfahren Math. Phys. 42, 68-87 (1997).
Reviewer: D.Stanomir (Bucureşti)
Absolute and convective instability of a viscous liquid curtain in a viscous gas. (English) Zbl 0898.76031
Reviewer: A.Georgescu (Bucureşti)
Boundary conditions for finite element simulations of convective flows with artificial boundaries. (English) Zbl 0869.76040
Direction-adaptive nonreflecting boundary conditions. (English) Zbl 0863.65047
Reviewer: E.Schechter (Kaiserslautern)
An efficient numerical calculation of wave loads on an array of vertical cylinders. (English) Zbl 0854.76014
Matrix Wiener-Hopf factorization problems in elastodynamics of several parallel cracks. (Matrix Wiener-Hopf Faktorisierungsprobleme in der Elastodynamik bei mehreren parallelen Rissen.) (German) Zbl 0844.73009
Darmstadt: TH, 108 p. (1994).
Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. (English. Russian original) Zbl 0933.78005
J. Math. Sci., New York 86, No. 3, 2705-2720 (1997); translation from Zap. Nauchn. Semin. POMI 218, 72-95 (1994).
A Galerkin approximation for linear eigenvalue problems in two and three- dimensional boundary-layer flows. (English) Zbl 0702.76046
The Navier-Stokes equations theory and numerical methods, Proc. Conf., Oberwolfach/FRG 1988, Lect. Notes Math. 1431, 100-108 (1990).
MSC:
76D10
Numerical solution of two-point boundary value problems. (English) Zbl 0692.65040
Reviewer: T.Mitsui
Shift of the boundary conditions for partial differential equations. (English. Russian original) Zbl 0695.35004
U.S.S.R. Comput. Math. Math. Phys. 28, No. 6, 111-121 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 12, 1763-1778 (1988).
Reviewer: H.Kilp
On an open radiational boundary condition for weakly dispersive tsunami waves. (English) Zbl 0655.65138
Reviewer: R.Farzan
Nonlinear resonance of two-dimensional ion layers. (English) Zbl 0641.76047
Reviewer: T.Reginska
Numerical solution of eigenvalue problems using the compound matrix method. (English) Zbl 0641.65065
Reviewer: T.Reginska
Uniformly-valid asymptotic solutions to the Orr-Sommerfeld equation using multiple scales. (English) Zbl 0637.76040
Reviewer: K.M.Srivastava
Calculations of a flow in a channel with wavy walls by the method of orthogonal expansions. (English. Russian original) Zbl 0627.76045
Mosc. Univ. Mech. Bull. 42, No. 2, 6-12 (1987); translation from Vestn. Mosk. Univ., Ser. I 1987, No. 2, 26-32 (1987).
Radiation conditions and the principle of limiting absorption for quasilinear elliptic equations. (English. Russian original) Zbl 0629.35042
Sov. Math., Dokl. 33, 684-686 (1986); translation from Dokl. Akad. Nauk SSSR 288, 316-319 (1986).
Reviewer: G.Roach
High order numerical Sommerfeld boundary conditions: Theory and experiments. (English) Zbl 0578.65117
Reviewer: Yu.Shokin
Some multiple-part Wiener-Hopf problems in mathematical physics. (English) Zbl 0549.35110
Mathematical methods and models in mechanics, Banach Cent. Publ. 15, 359-407 (1985).
Asymptotic radiation conditions for reduced wave equation. (English) Zbl 0559.65085
Reviewer: G.Stoyan
Generalized reaction principles and reciprocity theorems for the wave equations, and the relationship between the time-advanced and time- retarded fields. (English) Zbl 0559.73035
Application of the network method in a planar radiation problem (circular domain). (Russian) Zbl 0542.65080
Reviewer: V.Makarov
Asymptotic representation of Green’s function for a problem concerning diffraction at two circular cylinders. (English. Russian original) Zbl 0523.35029
Differ. Equations 18, 971-976 (1983); translation from Differ. Uravn. 18, 1377-1383 (1982).
The Sommerfeld half-plane problem revisited. III: Parallel plate media with mixed boundary conditions. (English) Zbl 0513.45007
The Sommerfeld half-plane problem revisited. II: The factoring of a matrix of analytic functions. (English) Zbl 0501.45002
Sommerfeld’s radiation conditions and cloning algorithm. (English) Zbl 0464.73107
New concepts in finite element analysis, Appl. Mech. Conf., Boulder/Colo. 1981, AMD-Vol. 44, 47-66 (1981).
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