Higher Order Basis Based Integral Equation Solver (HOBBIES)

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John Wiley & Sons Inc. , Hoboken, New Jersey
HOBBIES (Electronic resource), Integral equations, Parallel programming (Computer science), TECHNOLOGY & ENGINEERING / Electronics / General, Moments method (Statistics), Computer simulation, Data processing, Numerical solutions, Electromagn
StatementYu Zhang, Tapan K. Sarkar, Xun-Wang Zhao, Daniel Garcia-Donoro, Weixin Zhao, Magdalena Salazar-Palma, Sioweng Ting
Classifications
LC ClassificationsTA347.I5 Z43 2012
The Physical Object
Paginationpages cm
ID Numbers
Open LibraryOL25237208M
ISBN 139781118140659
LC Control Number2012001136

Higher Order Basis Based Integral Equation Solver [HOBBIES] presents a road map for the analysis of complex material structures using the high-performance parallel simulation software known as HOBBIES.

Focusing on the Method of Moments (MoM), the book features new parallel programming techniques and user-friendly code with superior capabilities /5(5). Complete with an academic version of the HOBBIES software, this book:Explains the unique features of the higher order basis functions in the solution of integral equations in a MoM contextShows how to generate a properly load balanced parallel computational procedure for MoM matrix filling and matrix equation solving in both in-core and out-of.

Higher Order Basis Based Integral Equation Solver (HOBBIES) by Sarkar, T. Published by Wiley 1st (first) Higher Order Basis Based Integral Equation Solver book () Hardcover on *FREE* shipping on qualifying offers.

Description Higher Order Basis Based Integral Equation Solver (HOBBIES) FB2

Higher Order Basis Based Integral Equation Solver (HOBBIES) by Sarkar, T. Published by Wiley 1st (first) edition () Hardcover/5(5). Get this from a library. Higher Order Basis Based Integral Equation Solver (HOBBIES). [Yu Zhang; La Toya Brown;] -- "This book offers the latest in the parallel solution of integral equations for both in-core and out-of-core modes.

User-friendly computer code is provided, with a strong and unique capability for. Higher Order Basis Based Integral Equation Solver (HOBBIES) by Get Higher Order Basis Based Integral Equation Solver (HOBBIES) now with O’Reilly online learning.

Details Higher Order Basis Based Integral Equation Solver (HOBBIES) EPUB

O’Reilly members experience live online training, plus books, videos, and digital content from + publishers. Complete with an academic version of the HOBBIES software, this book: Explains the unique features of the higher order basis functions in the solution of integral equations in a MoM context Shows how to generate a properly load balanced parallel computational procedure for MoM matrix filling and matrix equation solving in both in-core and out Author: Yunong Zhang.

HOBBIES: Higher Order Basis Based Integral Equation Solver with Automatic Goal Oriented Optimization Daniel García-Doñoro(1), Yu Zhang (2), Weixin Zhao, Tapan K.

Sarkar, Luis Emilio García-Castillo(1) and Magdalena Salazar-Palma(1) (1) Department of Signal Theory and Communications, University Carlos III of Madrid Leganés, Madrid (Spain). This paper presents a new electromagnetic simulator called HOBBIES (Higher Order Basis Based Integral Equation Solver).

HOBBIES is based on a parallel In-Core and Out-of-Core integral-equation solver and a personal pre- and post-processor called GiD®.

HOBBIES presents some important features such as multiplatform and multilanguage environment, definition of models.

A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers Turning the Performance of a Parallel Integral Equation Solver Refinement of the Solution Using the Conjugate Gradient Method.

[1] The problem of electromagnetic scattering by composite metallic and dielectric objects is solved using the coupled volume‐surface integral equation (VSIE).

The method of moments (MoM) based on higher‐order hierarchical Legendre basis functions and higher‐order curvilinear geometrical elements is applied to transform the VSIE into a system of linear equations.

equations described is an order of magnitude greater than in any other book available. A number of integral equations are considered which are encountered in various fields of mechanics and theoretical physics (elasticity, plasticity, hydrodynamics, heat and mass transfer, electrodynamics, etc.).

[1] An efficient higher‐order method of moments (MoM) solution of volume integral equations is presented. The higher‐order MoM solution is based on higher‐order hierarchical Legendre basis functions and higher‐order geometry modeling.

Download Higher Order Basis Based Integral Equation Solver (HOBBIES) PDF

An unstructured mesh composed of 8‐node trilinear and/or curved 27‐node hexahedral elements is used for accurate representation of the. Higher Order Basis Based Integral Equation Solver (HOBBIES) by Yunong Zhang,available at Book Depository with free delivery worldwide.4/5(1).

10 HOBBIES OPTIMIZER AND ITS APPLICATIONS SUMMARY. After simulating the project and obtaining the initial results, the Higher Order Basis Based Integral Equation Solver (HOBBIES) Optimizer can be used to adjust automatically the designated model parameters such as model-element coordinates, object length, and similar quantities to achieve improved results for the desired.

Higher-Order Basis functions based Integral Equation Solver. HOBIES (Higher-Order Basis functions based Integral Equation Solver), is a general purpose Frequency Domain EM integral equation solver.

HOBIES provides solutions based on the Moment of Methods (MoM) employing higher order basis functions. HOBBIES Website. HOBBIES is a general purpose electromagnetic solver for various applications.

The name is an acronym for Higher Order Basis Based Integral Equation software is based on the Method of Moments (MoM), and it employs higher order polynomials as the basis functions for the frequency domain integral equation solver.

The higher-order basis functions can significantly reduce the. In this paper, the stability of a parallel higher order basis based integral equation solver (HOBBIES) is analysed. The monostatic RCS from a model of 80 wavelength height and 60 wavelength width is simulated at 21 frequencies.

The benchmark obtained indicates that HOBBIES takes almost the same amount of time for matrix filling and matrix equation solving for each frequency. Abstract: This paper presents a new electromagnetic simulator called HOBBIES (Higher Order Basis Based Integral Equation Solver).

HOBBIES is based on a parallel In-Core and Out-of-Core integral-equation solver and a personal pre- and post-processor called GiD ®.HOBBIES presents some important features such as multiplatform and multilanguage environment, definition of models. The presented formulas generalize the singularity extraction technique for surface and volume integral equation methods with high‐order basis functions.

Numerical experiments show that the developed method leads to a more accurate and robust integration scheme, and in many cases also a faster method than, for example, Duffy's transformation. Zhao, M. Salazar-Palma, and S. Ting, Higher Order Basis Based Integral Equation Solver (HOBBIES), John Wiley and Sons, Parallel Solution of Integral Equation-Based.

Higher Order Basis Based Integral Equation Solver (HOBBIES) by T. Sarkar () Hardcover – Jan. 1 by T. Sarkar (Author) out of 5 stars 3 ratings.

See all formats and editions Hide other formats and editions. Amazon Price New from Reviews: 3. Focusing only on the Method of Moments (MoM), the book covers: In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers Turning.

An alternative approach is to employ the higher-order basis based integral equation solver, which can greatly reduce the number of unknowns compared to use of the traditional piecewise basis.

Integral Equations Introduction Integral equations appears in most applied areas and are as important as differential equations. In fact, as we will see, many problems can be formulated (equivalently) as either a differential or an integral equation. Example Examples of integral equations are: (a) y(x)=x− Z x 0 (x−t)y(t)dt.

(b) y. Numerous science and engineering applications require solving large dense linear systems. In particular, the discretization of acoustic Boundary Integral Equations (BIE) using the Nyström method [22, 43] leads to a linear system of equations, where the matrix is dense and direct method to solve such a non-symmetric system requires an LU decomposition.

Chapter 7: Higher Order Differential Equations. In this chapter we’re going to take a look at higher order differential equations. This chapter will actually contain more than most text books tend to have when they discuss higher order differential equations. We will definitely cover the same material that most text books do here.

Summary. Formulation of the Integral Equation for Analysis of Dielectric Structures. A General Formulation for the Analysis of Composite Metallic and Dielectric Structures.

Geometric Modeling of the Structures. Higher-Order Basis Functions. Testing Procedure. Parallel In-Core and Out-of-Core Matrix Filling Schemes. Integral Equation Modeling of Metallic and Dielectric Antennas and Scatterers Miroslav Djordjevic´, Member, IEEE, and Branislav M.

Notaroˇs, Senior Member, IEEE Abstract—A novel double higher order Galerkin-type method of moments based on higher order geometrical modeling and higher order current modeling is proposed for surface integral. A meshless integral method based on the regularized boundary integral equation is developed and applied to two-dimensional linear elasticity.

The governing integral equation is obtained from the weak form of elasticity over a local sub-domain, and the moving least-squares approximation is used for meshless function approximation.

More generally, any Nth-order differ-ential equation will be said to be directly integrable if and only if it can be (re)written as dN y dxN = f(x) (′) where, again, f(x) is some known function of just x (no y’s or derivatives of y).

Example Consider the equation x2 dy dx − 4x = 6. () Solving this equation. Separate consideration is the smoothness of the basis functions. For second-order elliptic boundary value problems, piecewise polynomial basis function that is merely continuous suffice (i.e., the derivatives are discontinuous.) For higher-order partial differential equations, one must use smoother basis .Existing reconstruction methods for single photon emission computed tomography (SPECT) are most based on discrete models, leading to low accuracy in reconstruction.

Reconstruction methods based on integral equation models (IEMs) with a higher order piecewise polynomial discretization on the pixel grid for SEPCT imaging were recently proposed to overcome the accuracy deficiency of the discrete.

() A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains.

Journal of .