MATLAB: What kind of function is Matlab using for FEM (PDE toolbox)

fempde toolbox

Hallo,

I want to know waht kind of functions MATLAB is using for FEM in 2D Problems. What kind of test functions $\phi_i$ matlab is using in their alorithem (slovepde) to aproximate the finit elements ??

Tobi

Best Answer

see https://www.mathworks.com/help/pde/ug/basics-of-the-finite-element-method.html before references

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MATLAB: PDE Toolbox,How to define the interpolate method of finite element method

If you are asking for shape functions of FEM, then there are two option 'linear' and 'quadratic', check the documentation page of generateMesh function.

If this is not what you are looking for then please elaborate your question.

MATLAB: Pdepe help! (PDE solver)

function edp11
close all; clc; 
m=0;
options=odeset('NonNegative',[]);
x = linspace(0,1,30);
t = linspace(0,20,30);
u = pdepe(m,@eqn1,@initial1,@bc1,x,t,options);
surf(x,t,u(:,:,1));
title('Surface plot of solution.');
xlabel('Distance x');
ylabel('Time t');
function [c,f,s] = eqn1(x,t,u,DuDx)
c=DuDx;
f=-x*u;
s=x;
%%initial condition
function value = initial1(x)
value=0.5*(x^2);
%%boundary conditions
function [pl,ql,pr,qr] = bc1(xl,ul,xr,ur,t)
pl=ul;
ql=0;
pr=ur-1;
qr=0;

Best Answer

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MATLAB: PDE Toolbox,How to define the interpolate method of finite element method

MATLAB: Pdepe help! (PDE solver)

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