functions for this problem.
5 Chapter 6Figure 6.1 Example of finite difference schemes for population model. E.E., ...Figure 6.2 Two continuous linear Galerkin approximations of
.Figure 6.3 The jump
and the right and left limits
.Figure 6.4 Time directions in forward and dual solutions.Figure 6.5 Orthogonality:
.
6 Chapter 7Figure 7.1 A decreasing temperature profile with data
.Figure 7.2
and its linear interpolant (both in
and
)
.Figure 7.3 Quadratic Lagrange basis functions
.Figure 7.4 The linear time (a) and space (b) basis functions.Figure 7.5 Flow of cars with on highway.Figure 7.6 Characteristic line.Figure 7.7 A
boundary layer.Figure 7.8 Upstreams transported oscillatory approximate solution.Figure 7.9 A
‐telted mesh in a slab
.
7 Chapter 8Figure 8.1 A smooth domain
with an outward unit normal
.Figure 8.2 A rectangular domain with outward unit normals to its sides.Figure 8.3 A linear function on a subinterval
Figure 8.4 Example of triangulation of a
domain.Figure 8.5 A triangle in
as a piecewise linear function and its projection...Figure 8.6 A linear basis function in a triangulation in
.Figure 8.7 Uniform triangulation of
with
.Figure 8.8 Support of a single basis function in Example 8.1.Figure 8.9 (a) Uniform triangulation of
and (b) the reference element
.Figure 8.10 The nodal interpolant of
in
case.
8 Chapter 9Figure 9.1 The orthogonal (
) projection of
on
Figure 9.2 The nodal interpolant of
in
case.Figure 9.3 The adaptivity principle: to refine mesh for large
.Figure 9.4 Rectangular domain
with outward unit normal to its sides.Figure 9.5 A uniform triangulation of
.Figure 9.6 The considered triangulation for
.Figure 9.7 A uniform mesh of square
(a) and its standard element
(b).
9 2Figure B.1 Standard basis functions
and
.
Guide
1
Cover
2 Table of Contents
3
Begin Reading
Pages
1
iv
2
xi
3
xii
4
xiii
5
1
6
2
7
3
8
4
9 5
10 6
11 7
12 8
13 9
14 10
15
11
16
12
17
13
18
14
19
15
20 16
21
17
22
18
23
19
24
20
