Übungen zu Theorie und Numerik partieller Differentialgleichungen

Hint: For needed definitions see the lecture notes on Numerik gewöhnlicher Differential- gleichungen by

Universität Konstanz WS 10/11 Fachbereich Mathematik und StatistikS. ,

Using piecewise linear and globally continuous nodal basis functions on a uniform mesh of size h = 1/N , N ≥ 2, write down the finite element approximation to this problem if p and

Universität Konstanz WS 10/11 Fachbereich Mathematik und

Solve (1) by using the Partial Differential Equation Toolbox in Matlab using the graphical user interface pdetool.. Follow the steps Draw, Boundary, PDE, Mesh

Don’t forget to lable the plots (title, xlabel, ylabel, zlabel, .... Document your code well and write a report including

For the discretization of the Laplace operator use the classical finite difference scheme (i.e. Use the lexicographical ordering of the grid points in Ω. As a stopping criteria for

Hint: For the implementation the commands initmesh, refinemesh, assempde, assema, pdesurf together with the provided geometry and boundary files circle11_geom.m and circle11_bdry.m