Plotting grids and maps of isosurfaces (i)

Suppose we want to solve the two dimensional equation :

Model equation

The exact solution of this equation is given by :

e^2tsin(x+y)cosh(x+y).

We could use two maps of isosurfaces: one for the calculated solution, another for the exact solution. We will also generate a plot of the grid nodes, with the initial conditions. The initial and the four boundary conditions are chosen to be the exact solution.

Theory pages:
Main page	FEM (i)	FEM (ii)	FDM (i)

Example pages:
1-d Heat Equation	2-d steady state Heat Equation
2-d Heat Equation	1-d non diffusive transport equation
1-d diffusive transport equation	2-d Non diffusive transport equation
Mesh generation with OOCSMP	Moving grids

Application pages:
Heating of two beams	Heating of two moving beams
Solving the equation U_t+U_xx+U_xy+U_yx=0	Solving the equation U_t+U_xx+U_xy+U_yx=0 using MGEN
Heat 1d using several outputs	Solving the Heat equation with a CA
Comparing a CA with the FEM	Gordon's sine equation

Other courses
Gravitation	Ecology	Electronics	PDEs	Other pages

Last modified 22/12/99 by Juan de Lara ( Juan.Lara@ii.uam.es, http://www.ii.uam.es/~jlara) need help for using this courses?.

The OOCSMP code - The SODA code