Finite Element Method with Web-splines for Electromagnetics

Finite Element Method (FEM) is one of the popular
numerical methods when studying the complex
geometries and arbitrary boundaries with
inhomogeneous media for electromagnetics. However,
mesh generation of standard FEM causes consumption
in computation time for higher dimensions.

This book presents the fundamental overview of
electromagnetics and FEM with weighted extended
basis splines (web-splines), which is a new
developed FEM for electromagnetic problems such as
two dimensional wave equation, reflection, and
waveguide problems. The analyses presented in this
study show the suitability of the proposed method to
the electromagnetic problems. More accurate results
are obtained by using fewer nodes. The method does
not need any mesh generation as in the standard FEM,
and more accurate results can be obtained by using
less memory in computations. A Matlab-based
Graphical User Interface for the web-spline is also
presented.

This book can be a good reference for engineers and
scientists who are interested in computational
electromagnetics.

Autorentext

Gokhan APAYDIN, PhD: Electrical&Electronic Engineering at
Bogazici University, Istanbul, Turkey. Teaching&Research
Assistant at Bogazici University (2001-2005). Research&Project
Engineer at University of Technology Zurich Applied R&D,
Switzerland. Field of study: Finite Element Method for
electromagnetic computation, propagation, RFID.

Klappentext

Finite Element Method (FEM) is one of the popular
numerical methods when studying the complex
geometries and arbitrary boundaries with
inhomogeneous media for electromagnetics. However,
mesh generation of standard FEM causes consumption
in computation time for higher dimensions.

This book presents the fundamental overview of
electromagnetics and FEM with weighted extended
basis splines (web-splines), which is a new
developed FEM for electromagnetic problems such as
two dimensional wave equation, reflection, and
waveguide problems. The analyses presented in this
study show the suitability of the proposed method to
the electromagnetic problems. More accurate results
are obtained by using fewer nodes. The method does
not need any mesh generation as in the standard FEM,
and more accurate results can be obtained by using
less memory in computations. A Matlab-based
Graphical User Interface for the web-spline is also
presented.

This book can be a good reference for engineers and
scientists who are interested in computational
electromagnetics.