Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 24 for “"Domain Decomposition Method"”.
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The SAS Domain Decomposition Method for Structural Analysis
A new domain decomposition method for the efficient and parallelizable numerical handling of plate bending and three dimensional elasticity problem is developed via the discovery of two special classes of matrices. The first class of matrices, say $A\in{\cal C}\sp{n\times n}$, has the relation A = …
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Stabilized Finite Elements and a Domain Decomposition Method for First-Order Transient Problems
In the third part, a novel domain decomposition method for first-order transient nonlinear problems is presented. To the author's knowledge the proposed method is the only known robust domain decomposition method for transient problems that enables arbitrary numeric schemes to be coupled with …
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Spectral Integral Method and Spectral Element Method Domain Decomposition Method for Electromagnetic Field Analysis
<p>In this work, we proposed a spectral integral method (SIM)-spectral element method (SEM)- finite element method (FEM) domain decomposition method (DDM) for solving inhomogeneous multi-scale problems. The proposed SIM-SEM-FEM domain decomposition algorithm can efficiently handle problems with …
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Investigation of explicit finite-element time-domain methods and modeling of dispersive media and 3D high-speed circuits
In this dissertation, efficient time-domain domain decomposition algorithms are investigated, compared, and further enhanced, and a new domain decomposition method is proposed based on the knowledge of existing ones. First, several explicit domain decomposition methods, including the dual-field …
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Multi-Time-Step Domain Decomposition and Coupling Methods for Non-Linear Structural Dynamics
The present multi-time-step coupling method is based on a dual Schur domain decomposition method that uses Lagrange multipliers to enforce the continuity of the solution across the interfaces between the subdomains. The subdomains can be integrated with different time steps and/or time stepping …
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Optimal shape design with domain decomposition
… the flow distribution in the computational domain or on its subset and sought the geometrical configuration that produced this flow. Based on this idea, we formulated a control problem, in which the optimization procedure minimizes the error between the target flow and the actual flow …
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Large Scale Simulation of Spinodal Decomposition
Spinodal decomposition is a process in which a system of binary mixture eventually evolves to the separation of two macroscopic phases. Such phase separation occurs in a thermodynamically unstable state. A number of binary mixture experiments have demonstrated the phenomenon of spinodal …
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Método de decomposição de domínios de múltiplos passos de tempo de Dirichlet-Neumann aplicado à injeção de polímeros em meios porosos
… the computational model, we propose a space-time domain decomposition method based on a predictor-corrector strategy. The resulting system of equations is discretized by the finite element method and linearized by the Newton-Raphson method. Additionally, we apply a consistent flux method to obtain …
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Improved Numerical Quadrature over General Two-Dimensional Domains Utilizing Curvature Based Domain Decomposition
… quadrature on a general two-dimensional domain presented by James Lambers. QUAD2D eliminates the error of approximation inherent in general polygonal methods due to the variance between an estimated polygon boundary and the domain boundary. The QUAD2D method achieves quadrature accurate …
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Finite element method with hierarchical domain decomposition : enabling experimentally relevant mesoscale models
… scales. This thesis focuses on a hierarchical domain decomposition method that will be combined with other strategies to speed up the current models. A hierarchical mesh was generated, and then used to make the finite-element portion more efficient. The runtime and error of this accelerated …
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Optimization Based Domain Decomposition Methods for Linear and Nonlinear Problems
Optimization based domain decomposition methods for the solution of partial differential equations are considered. The crux of the method is a constrained minimization problem for which the objective functional measures the jump in the dependent variables across the common boundaries between …
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Decoupling methods for the time-dependent Navier-Stokes-Darcy interface model
<p>"In this research, several decoupling methods are developed and analyzed for approximating the solution of time-dependent Navier-Stokes-Darcy (NS-Darcy) interface problems. This research on decoupling methods is motivated to efficiently solve the complex Stokes-Darcy or NS-Darcy type models, …
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Computation of multiscale time-harmonic electromagnetic radiation
… the equivalence principle algorithm (EPA) as a domain decomposition method (DDM). The use of EPA to enclose the EFIE-modeled antenna generalizes the method to arbitrary antenna models. The electrically large exterior structures are modeled with physical optics (PO) without loss of generality to …
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Dynamic Modeling and Real-time Simulation of Power Electronics-dominated Power Grids Using Hybrid DDM and EDDM Techniques
… complexity, traditional sequential simulation methods have become increasingly computationally challenging and time-consuming. This research investigates parallelism techniques from both an innovative algorithmic perspective and at the hardware level, utilizing multiple graphics processing …
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Multiscale forward and inverse problems with the DGFD method and the deep learning method
… A deep learning based full wave inversion method has also been developed to reconstruct the underground anomaly.</p><p>Since the gas and oil industry has very high demands for the forward modeling speed when doing inversion, the inversion model is usually simplified to a 1D or 2D problem by …
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Boundary integral equation based numerical solutions of helmholtz transmission problems for composite scatters
… between boundary integral equation solvers and Domain Decomposition Methods (DDM) for frequency domain Helmholtz transmission problems in composite two-dimensional media is presented. Composite media are characterized by piece-wise constant material properties (i.e., index of refraction) and …
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Automatic operational modal analysis: challenges and applications to historic structures and infrastructures
… to automate Operational Modal Analysis methods for permanent dynamic monitoring systems. In general, the application of OMA methods requires an experienced engineer in experimental dynamics and modal analysis; in addition, a lot of time is usually spent in manual analysis, necessary to …
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Power grid verification and optimization
… runtime and memory bottleneck with traditional methods. In order to address these issues, we focus on developing efficient methods to perform power grid verification and optimization. There are three topics related to power grid verification. Based on the distributed memory system, we propose an …
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Multiple interval methods for ODEs with an optimization constraint
We are interested in numerical methods for the optimization constrained second order ordinary differential equations arising in biofilm modelling. This class of problems is challenging for several reasons. One of the reasons is that the underlying solution has a steep slope, making it difficult to …
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A study on computational electromagnetics problems with applications to casimir force calculations
… be desirable to aid in their design. Recent methods have been developed that incorporate CEM techniques, notably the electric field integral equation (EFIE). Herein, we present three methods, one of a new devising, that make use of various CEM techniques. Our new method allows for the easy …
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