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Showing 1 to 6 of 6 for “"Discrete Exterior Calculus"”.
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Electromagnetic analysis with discrete exterior calculus
… main focus of this dissertation is to implement discrete exterior calculus (DEC) in electromagnetic analysis. The problem is studied for both partial differential equation (PDE) and integral equation (IE) based approaches. A systematical treatment is proposed for various boundary conditions. With …
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Geometric discretization schemes and differential complexes for elasticity
… two different geometric approaches, namely, the discrete exterior calculus and differential complexes, for developing numerical schemes for linear and nonlinear elasticity. Using some ideas from discrete exterior calculus (DEC), we present a geometric discretization scheme for incompressible …
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Numerical analysis for quantum electrodynamics in the ultrastrong coupling regime
… network algorithms are developed. Furthermore, discrete exterior calculus (DEC) is considered for electromagnetic analysis of quantum devices. The study investigates the satisfaction of the generalized Helmholtz decomposition in DEC simulations in the presence of multiple types of boundary …
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Hodge Laplacians on simplicial meshes and graphs
… some developments in the discretizations of exterior calculus for problems posed on simplicial discretization (meshes) of geometric manifolds and analogous problems on abstract simplicial complexes. We are primarily interested in discretizations of elliptic type partial differential …
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Discretization of differential geometry for computational gauge theory
This Dissertation was approved for publication on 2018-04-13 at 12:05.