Searched for: subject%3A%22Reduced%255C%2BBasis%22
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Kiste, Amund (author)
Solving Partial Differential Equations (PDEs) in engineering such as Navier-Stokes is incredibly computationally expensive and complex. Without analytical solutions, numerical solutions can take ages to simulate at great expense. In order to reduce this cost, neural networks may be used to compute approximations of the solution for use during...
bachelor thesis 2024
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Blom, Peter (author)
Research into constructing reduced-order models (ROM) to reduce computational cost or to interpret complex datasets from numerical or experimental sources has steadily been gaining popularity over the past few years. Many methods currently exist to construct ROMs. The proper orthogonal decomposition (POD) is one of the most widely adopted...
master thesis 2021
document
Tjensvoll, Knut (author)
Numerical simulations have become an essential part of design in every field of engineering, and the boundaries of technology are pushed further out every year. In structural engineering, the desire to design structures that have complex shapes or that are simply cheaper and more efficient, has necessitated the use of complex numerical...
master thesis 2019
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Krings, Niklas (author)
The inversion process of data sets acquired with the electrical resistivity tomography can be a computational expensive calculation, because it requires a lot of forward simulations. Since computational resources are limited, the inversion for large field surveys can require immense computing times. One approach for reducing the computing times...
master thesis 2018
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Tonn, T. (author), Urban, K. (author)
We consider a convection-diffusion problem in a box in which rigid bodies are present. The location and orientation of these bodies are subject to a set of parameters. In order to use a reduced basis method, we perform a two-step method. In the first step, we transform the parameter-dependent geometric situation to a reference situation (also...
conference paper 2006
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Lovgren, A.E. (author), Maday, Y. (author), Ronquist, E.M. (author)
The reduced basis element method is a new approach for approximating the solution of problems described by partial differential equations within domains belonging to a certain class. The method takes its roots in domain decomposition methods and reduced basis discretizations. The basic idea is to first decompose the computational domain into...
conference paper 2006
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Rozza, G. (author)
The reduced basis method on parametrized domains is applied to approximate blood flow through an arterial bypass. The aim is to provide (a) a sensitivity analysis for relevant geometrical quantities of interest in bypass configurations and (b) rapid and reliable prediction of integral functional outputs ( such as fluid mechanics indexes). The...
conference paper 2006
Searched for: subject%3A%22Reduced%255C%2BBasis%22
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