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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 184 for “"Wave equation"”.
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The Generalized Scalar Wave Equation in Linear Elasticity
Made available in DSpace on 2014-12-14T14:42:07Z (GMT). No. of bitstreams: 1 7524361.pdf: 1011141 bytes, checksum: 7b81ba880900fe81863868c6cd50b2f7 (MD5) Previous issue date: 1975
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Closed form solution of the wave equation for piles
… details the research into the one-dimensional wave equation as applied to piles used in the support of structures for civil works and driven using impact equipment. Since the 1950's, numerical methods, both finite difference and finite element, have been used extensively for the analysis of …
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Drum Sound Synthesis by Computer Simulation of the Wave Equation
… sound of a drumhead by computer solution of the wave equation using finite difference methods. The research is novel in that it takes into account the stiffness of the drumhead material, damping due to energy dissipation into the air and rim, mass loading of the air, and changing tension caused …
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Bidirectional and unidirectional spectral representations for the scalar wave equation
The Cauchy problem associated with the scalar wave equation in free space is used as a vehicle for a critical examination and assessment of the bidirectional and unidirectional spectral representations. These two novel methods for synthesizing wave signals are distinct from the superposition …
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Finite-Difference Methods for the Wave Equation with Reduced Dispersion Errors
… relation is satisfied exactly at some specified wavenum- bers. Liu and Sen (2009) further developed their idea, going to 2D and 3D. In our work, we will prove that the system for coefficients of these new schemes is solvable for any normalized wavenumbers up to the Nyquist. We will also look at …
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Microlocal regularity of an inverse problem for the multidimensional wave equation
… problems for the multidimensional acoustic wave equation with point energy sources. The inverse problem is to identify the coefficients from the knowledge of boundary measurements of the solution. In this research we formulate an inverse problem for the wave equation with constant wave speed …
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A Proposed Numerical Method for the 3D Wave Equation with Constant Speed
… scheme to solve the (classical) constant speed wave equation in the three dimensional space, currently existing methods (even if more restrictive) rely on time iterations and observe the accumulation of error at each time step iteration, the new method is iteration free ! Making it a good choice …
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Strichartz estimates for the wave equation on Riemannian manifolds of bounded curvature
Wave packet methods have proven to be a useful tool for the study of dispersive effects of the wave equation with coefficients of limited differentiability. In this thesis, we use scaled wave packet methods to prove Strichartz estimates on compact Riemannian manifolds under the condition that the …
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Pile design using wave equation analysis program application in offshore wind farm
… Smith (1960) proposed a numerical solution for wave propagation in an elastic pile using a finite difference scheme, with lumped mass representation and simple rheological laws for pile-soil interaction. Since then, many significant parameters affecting pile driving have been included in the …
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Approximate solutions to the wave equation for a medium with one discontinuity
… with a particle limit for the n dimensional wave equation and shows that there are asymptotic solutions for certain pulses in the high-frequency limit. These pulses are shown to propagate along rays predicted by geometrical optics. The solutions are computed up to an error which approaches …
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Codomain Rigidity of the Dirichlet to Neumann Operator for the Riemannian Wave Equation
… Dirichlet to Neumann operator for the Riemannian wave equation on a compact Riemannian manifold. If the Riemannian manifold is modelled as an elastic medium, this operator represents the data available to an observer on the boundary of the manifold when the manifold is set into motion through …
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Improved methods for forward and inverse solution of the wave equation for piles
… piles for both forward and inverse solutions. Wave propagation in piles, which is the result of pile head (or toe) impact and the distributed mass and elasticity of the pile, was analyzed in two ways: forward (the hammer is modeled and the pile response and capacity for a certain blow count is …
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Reduced basis method for 2nd order wave equation : application to one-dimensional seismic problem
In this thesis, we solve the 2nd order wave equation, which is hyperbolic and linear in nature, to determine the pressure distribution for a one-dimensional seismic problem with smooth initial pressure and rate of pressure change with time. With Dirichlet and Neumann boundary conditions, the …
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Almost well-posedness of the full water wave equation on the finite stripe domain
… dissertation gives a rigorous study of surface waves on water of finite depth subjected to gravitational force. As for `water', it is an inviscid and incompressible fluid of constant density and the flow is irrotational. The fluid is bounded above by a free surface separating the fluid from the …
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A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation
… discontinuous solution of a differential equation of order m and its first (m-1)-derivatives are strongly superconvergent at the end of each step. We also establish that the q-degree discontinuous solution is superconvergent at the roots of (q+1-m)-degree Jacobi polynomial on each step. …
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Application of the nonlinear progressive wave equation to simulate nonlinear acoustic propagation near an interface
Includes bibliographical references (leaves 37-38).
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Stability Analysis of Krylov Subspace Spectral Methods for the 1-D Wave Equation in Inhomogeneous Media
… time-stepping methods for partial differential equations (PDEs) that also possess the stability characteristic of implicit methods. Unlike other time-stepping approaches, KSS methods compute each Fourier coefficient of the solution from an individualized approximation of the solution operator of …
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Global in time existence and blow-up results for a semilinear wave equation with scale-invariant damping and mass
… results and blow-up result for a semilinear wave model with scale-invariant damping and mass. Since the time-dependent coefficients for the considered model make somehow the damping and the mass a threshold term between effective and non-effective terms, it turns out that a fundamental role …
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Dynamic Load Balancing for a hp-adaptive Discontinuous Galerkin Wave Equation Solver via Spacing-Filling Curve and Advanced Data Structure
… techniques and apply it to a two-dimensional wave equation solver. DG-SEM discretizes solution functions as weighted polynomial series. In this work, Legendre polynomials are chosen. With higher-order method and AMR techniques, a computational cost-efficient solver is formed. Two types of …
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