Neumann (top) and Dirichlet (bottom) Boundary Conditions | ||||||||||||||
a1 + c1 | b1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | u1 | f1 | ||
c2 | a2 | b2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | u2 | f2 | ||
0 | c3 | a3 | b3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | u3 | f3 | ||
0 | 0 | c4 | a4 | b4 | 0 | 0 | 0 | 0 | 0 | 0 | u4 | f4 | ||
0 | 0 | 0 | c5 | a5 | b5 | 0 | 0 | 0 | 0 | 0 | u5 | f5 | ||
0 | 0 | 0 | 0 | c6 | a6 | b6 | 0 | 0 | 0 | 0 | ´ | u6 | = | f6 |
0 | 0 | 0 | 0 | 0 | c7 | a7 | b7 | 0 | 0 | 0 | u7 | f7 | ||
0 | 0 | 0 | 0 | 0 | 0 | c8 | a8 | b8 | 0 | 0 | u8 | f8 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | c9 | a9 | b9 | 0 | u9 | f9 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | c10 | a10 | b10 | u10 | f10 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | c11 | a11 | u11 | f11 - b11u12 |
Periodic Boundary Conditions | ||||||||||||||
a1 | b1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | c1 | u1 | f1 | ||
c2 | a2 | b2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | u2 | f2 | ||
0 | c3 | a3 | b3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | u3 | f3 | ||
0 | 0 | c4 | a4 | b4 | 0 | 0 | 0 | 0 | 0 | 0 | u4 | f4 | ||
0 | 0 | 0 | c5 | a5 | b5 | 0 | 0 | 0 | 0 | 0 | u5 | f5 | ||
0 | 0 | 0 | 0 | c6 | a6 | b6 | 0 | 0 | 0 | 0 | ´ | u6 | = | f6 |
0 | 0 | 0 | 0 | 0 | c7 | a7 | b7 | 0 | 0 | 0 | u7 | f7 | ||
0 | 0 | 0 | 0 | 0 | 0 | c8 | a8 | b8 | 0 | 0 | u8 | f8 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | c9 | a9 | b9 | 0 | u9 | f9 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | c10 | a10 | b10 | u10 | f10 | ||
b11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | c11 | a11 | u11 | f11 |