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Results tagged with finite-element-method
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user 62716
Usage of the Finite Element Method embedded in NDSolve and details on the implementation of the fem in mathematica.
3
votes
2
answers
552
views
Laplace equation with mixed boundary conditions
I try to solve Laplace equation in 2D on square [2,3]x[2,3], with mixed boundary conditions, I did:
ClearAll[y, x1, x2];
pde = Laplacian[y[x1, x2], {x1, x2}];
bc = {y[x1, 2] == 2 + x1, y[x1, 3] == 3 + …
- 789
0
votes
2
answers
528
views
Poisson Equation with variable coefficients and mixed boundary conditions
I try to solve the Poisson equation with variable coefficients with mixed boundary condition in 2D([2,3]x[2,3], I did:
ClearAll[y, x1, x2];
a = x1 + x2;
pde = D[a D[y[x1, x2], x1], x1] + D[a D[y[ …
- 789
3
votes
0
answers
83
views
Numerical solution for PDE [duplicate]
I have got the help from the expert ''Nasser'' to write the code for the PDE with variable coefficients and mixed boundary conditions define on a square domain:
ClearAll[y, x1, x2];
a = x1 + x2;
p …
- 789
2
votes
0
answers
250
views
Normal derivative for Laplace equation [closed]
I am try to evaluate the Neumann boundary conditions for Laplace equation which define as: dy/dn, where n the external normal vector to the boundary, I have:
ClearAll[y, x1, x2];
pde = D[D[y[x1, x2] …
- 789
3
votes
1
answer
301
views
How to use NDsolve for 2D PDE?
I want to solve the following 2D-PDE using NDsolve and plot it, I did:
ClearAll["Global`*"]
(*Source term*)
f = E^(-3 t)
Sin[\[Pi] x] Sin[\[Pi] y] (2 E^(2 t) (-1 + \[Pi]^2) +
Sin[\[Pi] x]^2 …
- 789
9
votes
1
answer
664
views
Boundary element method (BEM) in Mathematica
Please is there any mathematica codes for solving PDEs say Laplace or Poisson Equations by using boundary elements method?
Best regards,
- 789