Essays about: "pde"
Showing result 1 - 5 of 54 essays containing the word pde.
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1. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks
University essay from KTH/Tillämpad fysikAbstract : This master’s thesis explores the possibility of calculating and using the pressure andvelocity fields responsible for acoustophoresis. The goal was to use simulated data,similar to two-dimensional particle tracks from a specific microfluidic platform, toestimate the force potential and solve the partial differential equation (PDE) thatgoverns the relationship between the force potential and the acoustic fields. READ MORE
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2. Evaluation of Physics Informed Neural Networks in engineering simple structural analysis problems
University essay from Uppsala universitet/Institutionen för informationsteknologiAbstract : Neural Networks have found many applications for a long time in Machine Learning in different disciplines, and have especially flourished in the last decade because of the ever-increasing processing power especially from GPUs. Because of their ability to operate as universal function approximators and model nonlinear processes, attempts have been made in recent years to be also used for modeling partial differential equation (PDE) solutions. READ MORE
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3. Improved Statistical Methods for Elliptic Stochastic Homogenization Problems : Application of Multi Level- and Multi Index Monte Carlo on Elliptic Stochastic Homogenization Problems
University essay from Uppsala universitet/Tillämpad beräkningsvetenskapAbstract : In numerical multiscale methods, one relies on a coupling between macroscopic model and a microscopic model. The macroscopic model does not include the microscopic properties that the microscopic model offers and that are vital for the desired solution. READ MORE
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4. Implementation and study of boundary integral operators related to PDE:s in the plane
University essay from Lunds universitet/Matematik LTHAbstract : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. READ MORE
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5. Topology optimization: perimeter restriction using total variation
University essay from Lunds universitet/Hållfasthetslära; Lunds universitet/Institutionen för byggvetenskaperAbstract : Topology optimization is a method used to find optimal material distributions, within a specified domain, with respect to some performance measure. To avoid various artifacts to appear in the suggested design, the solution space is typically restricted, where some restriction methods allow different length scales to be controlled in the design. READ MORE
