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Showing 1 to 5 of 5 for “"p-refinement"”.
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The property B(P,[alpha])-refinability and its relationship to generalized paracompact topological spaces
… than the property Θ-refinability. A B(P,∝)-refinement is a generalization of a σ-locally finite-closed refinement. Here ∝ is a fixed ordinal which dictates the number of "levels" in a given refinement, and P represents a property such as discreteness or local finiteness which each "level" …
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Spectral hulls: a degree of freedom reducing hp-strategy in space/time
… degree of the hull basis, is increased (p-refinement). Compared to the conventional continuous/discontinuous FEM, this mechanism yields more accurate solutions with smaller DOF. This methodology is validated throughout the dissertation using various methods including Fourier-Chebyshev …
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Data Structure and Error Estimation for an Adaptive <i>p</i>-Version Finite Element Method in 2-D and 3-D Solids
… analysis based on a fully adaptive <i>p</i>-refinement procedure can reduce the magnitude of discretization error to the desired accuracy with minimum computational cost and computer resources. This study aims to 1) develop an efficient <i>p</i>-refinement procedure with a non-uniform …
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Dynamic Load Balancing for a hp-adaptive Discontinuous Galerkin Wave Equation Solver via Spacing-Filling Curve and Advanced Data Structure
… method (DG-SEM), with parallel adaptive mesh refinement and coarsening (AMR) techniques and apply it to a two-dimensional wave equation solver. DG-SEM discretizes solution functions as weighted polynomial series. In this work, Legendre polynomials are chosen. With higher-order method and AMR …
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Discontinuous Galerkin Based Multi-Domain Multi-Solver Technique for Efficient Multiscale Electromagnetic Modeling
… hexahedron, Yee's cell) and element sizes (h-refinement) can be used with different orders of basis functions (p-refinement). For different solvers, the finite element method, spectral element method and finite difference method are incorporated into the proposed technique. As is well known, …