Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements write by C. David Turner. This book was released on 2005. Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements available in PDF, EPUB and Kindle. This report investigates the feasibility of applying Adaptive Mesh Refinement (AMR) techniques to a vector finite element formulation for the wave equation in three dimensions. Possible error estimators are considered first. Next, approaches for refining tetrahedral elements are reviewed. AMR capabilities within the Nevada framework are then evaluated. We summarize our conclusions on the feasibility of AMR for time-domain vector finite elements and identify a path forward.
Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics
Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics write by Costas D. Sarris. This book was released on 2007. Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics available in PDF, EPUB and Kindle. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities); Optical power splitters, Y-junctions, and couplers; Optical ring resonators; Nonlinear optical waveguides.
Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics
Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics write by Costas Sarris. This book was released on 2007-12-31. Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics available in PDF, EPUB and Kindle. This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique, the most popular electromagnetic field solver of the time-domain form of Maxwell's equations. These methodologies are aimed at optimally tailoring the computational resources needed for the wideband simulation of microwave and optical structures to their geometry, as well as the nature of the field solutions they support. That is achieved by the development of robust “adaptive meshing” approaches, which amount to varying the total number of unknown field quantities in the course of the simulation to adapt to temporally or spatially localized field features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce simulation times by orders of magnitude, it is not always robust. The specific techniques presented in this book are characterized by stability and robustness. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities). Optical power splitters, Y-junctions, and couplers Optical ring resonators Nonlinear optical waveguides. Building on first principles of time-domain electromagnetic simulations, this book presents advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers, engineers, and graduate students. It is designed to provide a solid reference for highly efficient time-domain solvers, employed in a wide range of exciting applications in microwave/millimeter-wave and optical engineering.
Adaptive Mesh Refinement - Theory and Applications
Adaptive Mesh Refinement - Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Adaptive Mesh Refinement - Theory and Applications write by Tomasz Plewa. This book was released on 2005-12-20. Adaptive Mesh Refinement - Theory and Applications available in PDF, EPUB and Kindle. Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.
An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations
An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations write by . This book was released on 1990. An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations available in PDF, EPUB and Kindle. We discuss mesh-moving, static mesh regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial boundary value problems for vector systems of time-dependent partial differential equations in two space dimensions and time. A coarse based mesh of quadrilateral cells is moved by an algebraic mesh-movement function so as to follow and isolate spatially distinct phenomena. The local mesh-refinement method recursively divides the time step and spatial cells of the moving base mesh in regions where error indicators are high until a prescribed tolerance is satisfied. The static mesh-regeneration procedure is used to create a new base mesh when the existing one becomes to distorted. The adaptive methods have been combined with a MacCormack finite difference scheme for hyperbolic systems and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples.
