Dirichlet problem for Puasson's equation with Seidel method

Build & Run

To build application simply follow a few steps:

mkdir build
cd build
cmake ..
cmake --build . --config RELEASE

To run under linux use:

./application/seidel

To run under windows use:

.\application\Release\seidel.exe

Keys

Also you can set the keys to setup parametrs of the method. List of keys: TODO

Difference Scheme

This module is intended for constructing a difference scheme and solving the Dirichlet problem using the Seidel iterative method.

Statistic

This module is intended to accumulate statistics and issue it to the user. It is also the output type for the Seidel method.

Problem statement

u(x,y)=1−x 
x∈[−1,1],y∈[−1,1]

u(−1,y) = μ1(y) = -y, u(1,y) = μ2(y) = -y 
u(x,−1) = μ(x) = −x, u(x,1) = μ(x) = −x 
Δu = −4

n = 4, m = 4  

Tables

Table №1,4

	x0	x1	x2	x3	x4
y4	-1.000	-0.250	-0.000	-0.250	-1.000
y3	-0.250	0.500	0.750	0.500	-0.250
y2	-0.000	0.750	1.000	0.750	-0.000
y1	-0.250	0.500	0.750	0.500	-0.250
y0	-1.000	-0.250	-0.000	-0.250	-1.000

Table №2,3

	x0	x1	x2	x3	x4
y4	-1.000	-0.250	-0.000	-0.250	-1.000
y3	-0.250	0.195	0.396	0.323	-0.250
y2	-0.000	0.281	0.391	0.396	-0.000
y1	-0.250	0.125	0.281	0.195	-0.250
y0	-1.000	-0.250	-0.000	-0.250	-1.000