1%%%%%%%%%%%%%%%%%%%
2% XLiFE++ is an extended library of finite elements written in C++
3%     Copyright (C) 2014  Lunéville, Eric; Kielbasiewicz, Nicolas; Lafranche, Yvon; Nguyen, Manh-Ha; Chambeyron, Colin
4%
5%     This program is free software: you can redistribute it and/or modify
6%     it under the terms of the GNU General Public License as published by
7%     the Free Software Foundation, either version 3 of the License, or
8%     (at your option) any later version.
9%     This program is distributed in the hope that it will be useful,
10%     but WITHOUT ANY WARRANTY; without even the implied warranty of
11%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
12%     GNU General Public License for more details.
13%     You should have received a copy of the GNU General Public License
14%     along with this program.  If not, see <http://www.gnu.org/licenses/>.
15%%%%%%%%%%%%%%%%%%%
16
17\xtitleTwo{A 1D problem}
18Solving 1D problems is sometimes regarded to be out of interest. Anyway, most of existing FE
19softwares do not handle this case. But in fact, 1D problems are of interest, often as a part
20of more complex problems. Thus, \textsc{XLiFE++} deals with 1D problems.
21\xtitleThree{Dirichlet condition}
22\inputDoc*{examples/laplace1DP1}
23
24\xtitleThree{Robin condition}
25\inputDoc*{examples/laplace1DP10Robin}
26
27\xtitleTwo{Laplace Problems}
28We investigate here problems involving laplacian operator in a 2D bounded domain, say $\Omega$ :
29$$-\Delta u + a\,u = f\ \ \text{ in }\Omega \ \ \ (a=-k^2 \text{ for Helmholtz equation})$$
30and various essential conditions (Dirichlet, transmission, quasi periodic, average condition).
31
32\xtitleThree{Neumann condition}
33\inputDoc*{examples/laplace2DP1_Neumann}
34
35\xtitleThree{Dirichlet condition}
36\inputDoc*{examples/laplace2DP1_Dirichlet}
37
38\xtitleThree{Periodic condition}
39\inputDoc*{examples/laplace2DP1_Periodic}
40
41\xtitleThree{Transmission condition}
42\inputDoc*{examples/laplace2DP1_Transmission}
43
44\xtitleThree{Average condition}
45\inputDoc*{examples/laplace2DP1_average}
46
47\xtitleTwo{Mixed formulation using P0 and Raviart-Thomas elements}
48\inputDoc*{examples/laplace2DP0RT1}
49
50\xtitleTwo{2D Maxwell equations using Nedelec elements}
51\inputDoc*{examples/maxwell2DN1}
52
53\xtitleTwo{Eigenvalues and eigenvectors of Laplace operator}
54\inputDoc*{examples/laplace2DP2_eigen}
55
56\xtitleTwo{3D Helmholtz problem using single layer potential integral equation}
57\inputDoc*{examples/helmholtz3D_Dirichlet_SL}
58
59\xtitleTwo{2D Helmholtz problem coupling FEM and integral representation}
60\inputDoc*{examples/helmholtz2D_FEM_IR}
61
62\xtitleTwo{2D Helmholtz problem coupling FEM and BEM}
63\inputDoc*{examples/helmholtz2D_FEM_BEM}
64
65\xtitleTwo{3D Maxwell problem using EFIE}
66\inputDoc*{examples/maxwell3D_EFIE}
67
68\xtitleTwo{Elasticity problem}
69\inputDoc*{examples/elasticity2D}
70
71\xtitleTwo{Solving wave equation}
72\inputDoc*{examples/wave2D_LeapFrog}
73