zbMATH — the first resource for mathematics

Diffraction and refraction of surface waves using finite and infinite elements. (English) Zbl 0367.76014

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76-04 Software, source code, etc. for problems pertaining to fluid mechanics
Full Text: DOI
[1] Wind Waves, Prentice Hall, Englewood Cliffs, N.J. 1965.
[2] ’Design in relation to the environment’, Conf. Offshore Struct., Institution of Civil Engineers 7-8, 15-1 (1974).
[3] ’Wave action on large off-shore structures’, Conf. Offshore Struct., Institution of Civil Engineers 7-8, 7-14 (1974).
[4] and , Infinite elements in the study of fluid structure interaction problems’, 2nd Int. Symp. Computing Meth. Appl. Sci. and Engng, Versailles, France (1975).
[5] and , Computationally efficient finite element analysis of viscous flow problems,’ in Computational Methods in Non Linear Mechanics (Ed. J. T. Oden et al.), Texas Institute for Computational Mechanics, 1974. Proc. Int. Conf. Computational Meth. Non-Linear Mech. University of Texas, Austin, Texas (1974).
[6] Gartling, Computer Meth. Appl. Mech. Engng 8 pp 51– (1976)
[7] Bettess, Int. J. num. Meth. Engng 11 pp 53– (1977)
[8] ’Linear wave propagation problems and the finite element method’, Finite Elements in Fluids, Vol. 1. (Eds. et al.) Wiley, London, 1975, p. 251.
[9] ’Computation of combined refraction-diffraction’, 13th Int. Conf. Coastal Engng, Vancouver (1972).
[10] ’The finite element method and boundary solution procedures as general approximation methods for field problems’, Proc. World Cong. Finite Element Meth. Struct. Mech. Bournemouth, England (1975).
[11] and , ’Oscillations and wave forces in a man made harbour in the open sea’, 10th Naval Hydrodynamics Symp. (1974).
[12] and , ’Oscillations and wave forces in an offshore’harbour’, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, M.I.T. Report No. 190 (1974).
[13] Hwang, J. Fluid Mech. 42 pp 447– (1970)
[14] and , ’Wave forces on piles: a diffraction theory’, Inst. Engineering Research, Waves Investigation Lab., Series 3, Issue 334, Berkeley California (1952).
[15] Homma, Geophys. Mag. XXI pp 199– (1950)
[16] Ünlüate, J. Waterways Habour and Coastal Engng Div. ASCE WW2 pp 161– (1975)
[17] Lysmer, Bull. Seism. Soc. Am. 61 pp 1233– (1971)
[18] and , ’Finite dynamic model for infinite media’, J. Eng. Mech. Div., Proc. ASCE, 85-105 (1972).
[19] and , ’Shear waves in plane infinite structures’, J. Eng. Mech. Div., Proc. ASCE, 85-105 (1972).
[20] Hydrodynamics, Cambridge Press, 6th edn., 1932. · JFM 58.1298.05
[21] and , ’Coupled vibrations of a structure submerged in a compressible fluid’, Proc. Symp. Finite Element Techniques, Institute fur Statik und Dynamik der Luft–und Baum–fahrtkonstruktionen, University of Stuttgart, Germany, (1969).
[22] Partial Differential Equations in Physics, Academic Press, New York, 1949.
[23] Rellich, Jahres-bericht der Deutschen Mathematiker Vereinigung 53 pp 57– (1943)
[24] and , Methods of Mathematical Physics, Vol. 1, Interscience, New York, 1966.
[25] The Finite Element Method in Engineering Science, McGraw-Hill, London 1971.
[26] A First Course in Numerical Analysis, McGraw-Hill, New York, 1965.
[27] Rabinowitz, Mathematical Tables and Other Aids to Computation 13 pp 285– (1959)
[28] Irons, Int. J. num. Meth. Engng 2 pp 5– (1970)
[29] ’WAVE, A finite element program for the solving the wave equation’, Computer Report No. 81, Department of Civil Engineering, University College of Wales, Swansea.
[30] Vastano, J. Marine Research 25 pp 129– (1967)
[31] Jonsson, J. Marine Res. 34 pp 469– (1976)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.