We consider space-time continuous Galerkin methods with mesh modification in time for semilinear second order hyperbolic equations. We show a priori estimates in the energy norm without mesh conditions. Under reasonable assumptions on the choice of the spatial mesh in each time step we show optimal order convergence rates. Estimates of the jump in the Riesz projection in two successive time ste...

In this paper, we present a method for the reconstruction of real world objects from multiple range images. One major contribution of our approach is the simultaneous registration of all range images acquired from different scanner views. Thus, registration errors are not accumulated, and it is even possible to reconstruct large objects from an arbitrary number of small range images. The regist...

Paying off the mortgage, once a widespread rite of passage for homeowners approaching retirement, has become less common in recent years. Concerns are mounting that the increased prevalence of housing debt among older homeowners could compromise financial security in retirement by expanding housing affordability problems, crimping essential nonhousing spending, increasing vulnerability to home ...

Unstructured tetrahedral meshes are commonly used in scientific computing to represent scalar, vector, and tensor fields in three dimensions. Visualization of these meshes can be difficult to perform interactively due to their size and complexity. By reducing the size of the data, we can accomplish real-time visualization necessary for scientific analysis. We propose a two-step approach for str...

This paper presents a study of dynamic characteristics of spring loaded relief valve and the turbulent flow of water through it by using CFD in 2-Dimensions. Mesh deformation due to the fluid-solid interaction between the valve disc and the surrounding fluid and CEL expressions determined by solving a dynamics equation of forces acting on the valve disc, are used to account for the motion of th...

In many areas, we need a virtual representation of our real world surroundings. However, reconstructing a model of an actual scene is usually a tedious process. In this report, we explore a novel workflow for architectural model reconstruction from photographs. We keep the interaction with our system at a 2D level to reduce the complexity of our user interaction using a mesh-grid that the user ...

A large majority of existing tuning methods for multivariable PI controllers require good process model in order to achieve satisfactory tuning. Modelling and identification of an accurate process model is time consuming and requires extensive experimentation. In this paper, a new parameterisation of the process model based on multiple integration of the process step-response, is proposed. It i...

Fast Relabeling of Deformable Delaunay Tetrahedral Meshes Using a Compact Uniform Grid David C. Frogley Department of Computer Science, BYU Master of Science We address the problem of fast relabeling of deformable Delaunay tetrahedral meshes using a compact uniform grid, with CPU parallelization through OpenMP. This problem is important in visualizing the simulation of deformable objects and ar...

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and c...