ABSTRACT

Offering the only existing finite element (FE) codes for Maxwell equations that support hp refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1. One- and Two-Dimensional Elliptic and Maxwell Problems presents 1D and 2D codes and automatic hp adaptivity. This self-contained source discusses the theory and implementat

part |2 pages

Part I 1D Problems

chapter 1|30 pages

1D Model Elliptic Problem

chapter 2|8 pages

Galerkin Method

chapter 3|16 pages

1D hp Finite Element Method

chapter 4|14 pages

1D hp Code

chapter 5|24 pages

Mesh Refinements in 1D

chapter 6|22 pages

Automatic hp Adaptivity in 1D

chapter 7|16 pages

Wave Propagation Problems

part |2 pages

Part II 2D Elliptic Problems

chapter 8|14 pages

2D Elliptic Boundary-Value Problem

chapter 9|14 pages

Sobolev Spaces

chapter 11|10 pages

2D hp Code

chapter 12|16 pages

Geometric Modeling and Mesh Generation

chapter 14|14 pages

Automatic hp Adaptivity in 2D

chapter 15|18 pages

Examples of Applications

chapter 16|24 pages

Exterior Boundary-Value Problems

part |2 pages

Part III 2D Maxwell Problems

chapter 17|16 pages

2D Maxwell Equations

chapter 18|22 pages

Edge Elements and the de Rham Diagram

chapter 19|14 pages

2D Maxwell Code

chapter 20|14 pages

hp Adaptivity for Maxwell Equations

chapter 21|18 pages

Exterior Maxwell Boundary-Value Problems

chapter 22|2 pages

A Quick Summary and Outlook