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 30 for “"Interface Problems"”.
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Variational data assimilation for two interface problems
… with finite element discretization for two interface problems, including the Parabolic Interface equation and the Stokes-Darcy equation with the Beavers-Joseph interface condition. By using Tikhonov regularization and formulating the VDA into an optimization problem, we establish the …
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Bilinear Immersed Finite Elements For Interface Problems
… immersed finite elements (IFE) for solving interface problems. The related research works can be categorized into three aspects: (1) the construction of the bilinear immersed finite element spaces; (2) numerical methods based on these IFE spaces for solving interface problems; and (3) the …
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Nonconforming Immersed Finite Element Methods for Interface Problems
… simulations, it usually leads to the so-called interface problems of PDEs whose coefficients are discontinuous. In this dissertation, we consider nonconforming immersed "nite element (IFE) methods and error analysis for interface problems. We "first consider the second order elliptic interface …
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A posteriori analysis of operator decomposition on interface problems
… of the effects of operator decomposition on interface problems. Operator decomposition offers an attractive solution strategy for multi-physics and multi-scale problems. This technique allows previously defined component codes optimized for single physics problems to be reused in an iterative …
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An efficient finite element method for embedded interface problems
… efficient finite element method for interface problems. Finite element methods are severely constrained in their ability to resolve interfaces. Many of these limitations stem from their inability in independently representing interface geometry from the underlying discretization. We …
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Higher Order Immersed Finite Element Methods for Interface Problems
… alongside with applications to the elliptic interface problem and the hyperbolic interface problem. In the first part, we discuss a general m-th degree IFE space for one dimensional interface problems with many polynomial-like properties, then we develop a general framework for obtaining …
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Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems
A wide range of applications involve interface problems. In most of the cases, mathematical modeling of these interface problems leads to partial differential equations with non-smooth or discontinuous inputs and solutions, especially across material interfaces. Different numerical methods have …
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A Class of Immersed Finite Element Spaces and Their Application to Forward and Inverse Interface Problems
… is developed for solving elliptic boundary value problems that have interfaces. IFE spaces are finite element approximation spaces which are based upon meshes that can be independent of interfaces in the domain. Three different quadratic IFE spaces and their related biquadratic IFE spaces are …
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A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model
… a parallel Cartesian method to solve elliptic problems with complex interfaces and its application to elliptic irregular domain problems in the framework of a tumor growth model. This method is based on a finite differences scheme and is second order accurate in the whole domain. The …
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Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications
… elliptic operator and their applications to interface problems of related partial differential equations. We start with the immersed finite element methods for the second order elliptic operator with a discontinuous coefficient associated with the elliptic interface problems. We introduce an …
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Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media
… and two dimensional acoustic wave propagation problems in inhomogeneous media where elements are allowed to be cut by the material interface. The proposed methods use the standard discontinuous Galerkin finite element formulation with polynomial approximation on elements that contain one fluid …
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An investigation of the relationship between main construction and subcontractors in the Zambian construction industry
… Though there are many reasons that contribute to problems from subcontracting, a poor relationship between main contractors and subcontractors can be seen as a notorious contributor affecting construction works. The study aimed at investigating the relationship between the main contractors and …
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An investigation of the relationship between main construction and subcontractors in the Zambian construction industry
… Though there are many reasons that contribute to problems from subcontracting, a poor relationship between main contractors and subcontractors can be seen as a notorious contributor affecting construction works. The study aimed at investigating the relationship between the main contractors and …
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A robust simplex cut-cell method for adaptive high-order discretizations of aerodynamics and multi-physics problems
… demonstrated through a range of aerodynamics problems, including inviscid and laminar flows. We develop a high-order DG method with a dual-consistent output evaluation for elliptic interface problems, and extend the simplex cut-cell technique for these problems, together with a …
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FUZZY EXPERT SYSTEM FOR FAULT DIAGNOSIS OF POWER SYSTEMS
… to the fact that fuzzy logic handles symbolic interface problems better than classical rule-based systems do. To safeguard the stability of power supply system, any fault section must be isolated quickly. Fault section identification is the first step of system restoration. It has also become a …
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A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes
… defined on sub-elements cut by the actual interface curve for solving elliptic interface problems on interface independent meshes. A group of geometric identities and estimates on interface elements are derived. Based on these geometric identities and estimates, we establish a multi-point …
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High-order hybrid methods using Green's functions and finite elements
… for linear partial differential boundary value problems by directly defining solutions in integral form. For a Green's function that satisfies the desired boundary conditions, this form is a convolution of the Green's function with the right hand side. However, straightforward numerical …
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The Effect of Testing Location and Task Complexity on Usability Testing Performance and User-Reported Stress Levels
… simple, one complex, using Amazon.com as a test interface. Task time and number of critical incidents reported were the dependent measures. Significant differences were found for task times both in the between and within-subjects conditions for task times. Task times differed significantly …
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Computer-based user interface evaluation by analysis of repeating usage patterns in transcripts of user sessions
… acknowledged that the production of quality user interfaces requires a thorough understanding of the user and that this involves evaluating the system by observing the user using the system, or by performing human factors experiments. Such methods traditionally involve the use of videotape, …
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Computation of moving interface flows in biophysical applications
… the modeling, simulation, and analysis of moving interface problems involving viscous fluids and solid structures. The main computational technique employed in this work is the immersed boundary method, a widely known numerical method for fluid-structure interaction (FSI). In this technique, the …
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