Subsectional Basis Functions for Multidimensional and Vector Problems

This chapter contains sections titled:

• Higher Order Lagrangian Basis Functions on Triangles

• Example: Use of Higher Order Basis Functions with the Two-Dimensional Scalar Helmholtz Equation

• Lagrangian Basis Functions for Rectangular and Quadrilateral Cells

• Scalar Basis Functions for Two-Dimensional Cells with Curved Sides

• Discretization of Two-Dimensional Surface Integral Equations Using an Isoparametric Quadratic Representation

• Scalar Lagrangian Functions in Three Dimensions

• Scalar Lagrangian Discretization of the Vector Helmholtz Equation for Cavities: Spurious Eigenvalues and Other Difficulties

• Polynomial-Complete Vector Basis Functions that Impose Tangential Continuity but not Normal Continuity between Triangular Cells

• Mixed-Order Vector Basis Functions that Impose Tangential but not Normal Continuity for Triangular and Rectangular Cells

• TE Scattering Using the Vector Helmholtz Equation with CT/LN and LT/QN Vector Basis Functions Defined on Triangular Cells

• Analysis of Dielectric-Loaded Waveguides Using Curl-Conforming Vector Basis Functions

• Mixed-Order Curl-Conforming Vector Basis Functions for Tetrahedral and Hexahedral Cells

• Divergence-Conforming Vector Basis Functions for Discretizations of the EFIE

• Mapping Vector Basis Functions to Curvilinear Cells in Two and Three Dimensions

• Summary

This chapter contains sections titled:

• References

• Problems