A finite element Laplace transform solution technique for the wave equation

DOI10.1002/nme.1620111107zbMath0406.65048OpenAlexW2155948189MaRDI QIDQ4192917

Ülgen Gülçat, Mustafa M. Aral

Publication date: 1977

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620111107

zbMATH Keywords

Wave EquationNumerical SolutionPoisson's EquationShifted Legendre PolynomialsFinite-Element TechniquesHarbor WavesNumerical ExmaplesNumerical Laplace Transforms

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Spherical harmonics (33C55) Solutions to PDEs in closed form (35C05)

Related Items (2)

Non-linear analysis of wave propagation using transform methods ⋮ The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic timoshenko beams

Cites Work

• Tables for the Numerical Calculation of Inverse Laplace Transforms
• A Computer Oriented Adaption of Salzer's Method for Inverting Laplace Transforms
• Numerical Inversion of Laplace Transforms Using Laguerre Functions

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