Global ETD Search
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 9 of 9 for “"Finite-dimensional Space"”.
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The Performance of Preconditioned Iterative Methods in Computational Electromagnetics
… the projection of an exact equation onto a finite-dimensional space, and the solution of the resulting matrix equation. By using iterative algorithms, the analysis of scatterers that are an order of magnitude larger electrically may be feasible.
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Parameter Identification for the Preisach Model of Hysteresis
… μ. A new method for approximating μ in a finite dimensional space is described. Guidelines are given for choosing the “best” finite dimensional space and a “most efficient” training set. Simulated and experimental data are also introduced to demonstrate the utility of this method. In …
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A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems
… leads to global minimization problems in a finite dimensional space. The primary goal of this thesis is to apply the newly developed canonical duality theory to two non-convex variational problems: a modified version of Ericksen's bar and a problem of Landau-Ginzburg type. The canonical …
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A posteriori error estimates for the Poisson problem on closed, two-dimensional surfaces
… the surface where the problem is being solved. A Finite Element Method for solving the Poisson Problem on a closed surface has been described and shown to converge with order h2. Here, we review this finite element method and the background material necessary for defining it. We then construct an …
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Analytical and numerical techniques for wave scattering
… relevant to a raft of applications in the aerospace industry. The techniques considered in the present work can be broadly classed into two categories: analytically based methods which use special transforms and functions to provide a near-complete mathematical description of the scattering …
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Properties of p-modulus on radially symmetric infinite trees
On a finite graph, the p-modulus of a family of paths takes the form of a standard convex optimization problem. The optimal value of this problem provides information about the underlying graph, and has been shown to be closely related to several important graph theoretic quantities including …
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Solution of a Second Order Elliptic Partial Differential Equation with Varying Complex Coefficients: An Application for Computing Effective Complex Electrical Properties of Materials represented by 3D Images
… The material is represented in a 3D image. The Finite Element method and periodic boundary conditions are used to build an energy function which is minimised using the Conjugate Gradient algorithm. It allows to obtain the electric potentials, and then the computation of the conductivity is …
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Solution of a Second Order Elliptic Partial Differential Equation with Varying Complex Coefficients: An Application for Computing Effective Complex Electrical Properties of Materials represented by 3D Images
… The material is represented in a 3D image. The Finite Element method and periodic boundary conditions are used to build an energy function which is minimised using the Conjugate Gradient algorithm. It allows to obtain the electric potentials, and then the computation of the conductivity is …