Browsing by Subject "model reduction"
Now showing items 1-7 of 7
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(2016-05-02)Many applications such as porous media and material science possess multiscale nature of media properties and high number of variables. As a result, forward problems on today’s computer architectures require high cost of ...
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(2021-11-24)Numerical simulation of problems involving media with multiple spatial scales has important applications in many engineering and scientific areas, including material science, chemistry and unconventional reservoir simulation. ...
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(2020-03-12)Numerical modelling of flow problems in fractured porous media has important applications in many engineering areas, such as unconventional reservoir simulation and nuclear waste disposal. Simulation of the flow problems ...
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(2019-11-25)A two-time-scale system demonstrates both fast and slow dynamic properties. Modeling this type of system sometimes does not only introduce unnecessary extra orders, but also poses challenges to process simulations due to ...
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(2020-06-23)Many chemical processes are characterized by nonlinear models with moving boundaries that describe their dynamics. Such a nonlinear trajectory can explore many regions of the state space and the spatial domains of interest ...
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(2016-12-07)The linear solver in a typical reservoir simulator consumes around 60 to 70 % of the total simulation time. To speed up the solution of the linear systems we will use a two stage preconditioner, where the first stage is ...
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(2016-11-29)This dissertation addresses the state estimation problem of spatio-temporal phenomena which can be modeled by partial differential equations (PDEs), such as pollutant dispersion in the atmosphere. After discretizing the ...