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 20 of 42 for “"Laplace equation"”.
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Boundary Value Problems for the Laplace Equation on Convex Domains with Analytic Boundary
… thesis we study boundary value problems for the Laplace equation on do mains with smooth boundary. Central to our analysis is a relation, known as the global relation, that couples the boundary data for a given BVP. Previously, the global re lation has primarily been applied to elliptic PDEs …
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Uma formulação hipersingular do método dos elementos de contorno para problemas bidimensionais
… Element Method using a Hipersingualar integral equation for natural variables. Bidimentional problems governad by the Laplace Equation and Elastostatic are solved. Examples are presented and results are compared with the Classic Boundary Element Method and the exact solution.
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Consideração de geometria curva na análise p-adaptativa do MEC para potencial
… of integration points. Problems governed by the Laplace Equation are analized and curve boundary elements are employed to discretize boundary geometry. A discussion concerning accuracy, efficiency and best position of extreme source points is presented.
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On the relationship between compressional wave velocity of saturated porous rocks and density : theory and application
… velocity is defined theoretically by the Newton-Laplace equation, which relates the wave velocity, V, to the square root of the ratio of the rock's elastic modulus, M, and its density, [rho] (Bourvie et al., 1987). Therefore, the equation indicates that the velocity is inversely proportional to …
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Numerical Solutions of Nonlinear Free-Surface Wave Problems (Numerical Analysis, Filtering, Artificial Viscosity)
… of the free-surface partial differential equations with the solution of the Laplace equation. The efficiency of the method is increased by solving the problem on a fixed, small computational domain, using an open boundary condition.
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A mixed mode function - boundary element method for very large floating structure - water interaction systems excited by airplane landing impacts
… the motion of the fluid is governed by the Laplace equation and the related boundary conditions. A linearised composite free surface boundary condition and an undisturbed far field (infinity) radiation condition are considered. The Green function, or kernel, of BEM formulation is a …
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Fine properties of stochastic evolution equations and their applications
… of SPDE, which include all stochastic evolution equations with monotone coefficients. In the second part, some properties of invariant measures and transition semigroups are investigated for SPDE with additive noise. The main tool is the dimension-free Harnack inequality, which is established by …
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Integration of deviation zone evaluation and point measurement planning in coordinate metrology
… research. The developed solution for DZE solves Laplace equation around each measured point; while the sampling is guided by a Gaussian probability density function to model the manufacturing error on a fabricated part. The proposed dynamic sampling is studied on actual manufactured parts with a …
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Design optimization of acoustic metamaterials and phononic crystals with a time domain method
… using control grids, which are based on a Laplace equation. The combined strategy is compared with penalty-based topology optimization. Furthermore, the proposed topology optimization is also conducted on the design of a broadband acoustic cloaking device.
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Studies on Low Frequency Fast Multipole Algorithms
… is studied in detail to preserve the basic Laplace equation property. To improve the efficiency at low frequencies, a novel mixed-form fast multipole algorithm is introduced. The conversion between the multipoles at low frequencies and plane waves at midfrequencies is needed during the …
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Convergence of complete Ricci-βat manifolds
… as the gradient βow of a solution to an elliptic equation. We use an estimate of Colding-Minicozzi of a functional that measures the distance to the tangent cone. In the second part of this thesis, we prove a matrix Harnack inequality for the Laplace equation on manifolds with suitable curvature …
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From developmental biology to tissue-engineering: printing blood vessels
… determined through the exact solution of Laplace equation, guide their segregation in a multilayered fashion in vitro. Moreover, we introduce a novel rapid-prototyping technology (bioprinting) that allows for directing the self-assembly of the vascular cell types into custom-shaped tubular …
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Optimization of hydrophobic meshes for oil spill recovery
… predicted using a modified version of the Young-Laplace equation incorporating an unpinned meniscus. The model was successful for meshes with pore radii between 7 - 220 tm, which could hold back up to 40 cm of water. Finally, a bench-scale apparatus was built to test the oil permeate flux at …
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Analytic Solutions to the Laplace, Poisson, and Biharmonic Equations with Internal Boundaries: Theory and Application to Microfluidic Dynamics
… methods for elliptic partial differential equations with conditions imposed on internal boundaries. Internal boundaries are formed where materials with different properties meet to form interfaces. These interfaces arise in a variety of physical and engineering contexts such as in the …
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Tree-Inspired Water Harvesting
… The system pressure was calculated with Darcy's equation, Poiseuille equation and Laplace equation. The stable transpiration can happen to any scalable tree, which pumps water up an array of large tubes. Our synthetic trees, like natural trees, have the ability to lift water across a wide range …
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Efficient coarse-grained brownian dynamics simulations for dna and lipid bilayer membrane with hydrodynamic interactions
… to the action field is the so-called screened Laplace equation. For the numerical method, the well-known integral equation method (IEM) has great capability to solve exterior screened Laplace equation with Dirichlet boundary conditions. Finally, one then can obtain the lipid dynamics to …
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Some aspects of stratified flow in closed conduits
… was built for the above investigations. The equation of motion was derived for the velocity distribution, starting from the Navier-Stokes equations. A special Poisson equation with a constant term on the right hand side of the equation was derived which was then reduced to a Laplace equation …
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The development of reynolds averaged navier stokes solver for a two dimensional compressible flow problem
… the flow problems numerically. The governing equation of fluid motion passing through an object flow can be presented in various forms depending on the assumption imposed to the flow problem in hand. Initially, in solving the flow problem passing through an object such as the flow passing …
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Electric field imaging
… for generating approximate solutions to the Laplace equation. Finally, the thesis describes a variety of applications of electric field sensing, many enabled by the small footprint of the LazyFish. To demonstrate the School of Fish hardware and the Sphere Expansion inversion method, the …
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Transport and seismoelectric properties of porous permeable rock : numerical modeling and laboratory measurements
… difference (FD) scheme is used to solve the Laplace equation for electrical conductivity and the Stokes equation for hydraulic conductivity. The Laplace solver can handle different levels of conductivity contrast so that different saturations (gas, oil and brine) can be modeled. A three-phase …
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