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Showing 1 to 3 of 3 for “"dual lattice"”.
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Three-dimensional multi-scale hydraulic fracturing simulation in heterogeneous material using Dual Lattice Model
… modelling material as a heterogeneous medium. Lattice Element Method (LEM) is therefore proposed for multi-scale simulation of heterogeneous material. In LEM, material is discretised into cells and their interactions are modelled by lattices, hence a three-dimensional model is simplified to a …
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The structure and average discrepancies of lattice rules for numerical integration
Lattice rules are equal-weight quadrature rules which are used in the approximation of multidimensional integrands over the s-dimensional unit cube [0,1]ˢ. One of the problems encountered in the study of such rules is the unavailability of a unique representation. It is known that any lattice rule …
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Distortion-optimal parallel MRI with sparse sampling: from adaptive spatio-temporal acquisition to self-calibrating reconstruction
In this dissertation, we address several inverse problems associated with multi-channel sampling and reconstruction that pertain to parallel magnetic resonance imaging (pMRI). The first part of this dissertation addresses adaptive design of spatio-temporal acquisition and reconstruction in …