IntrepidPoisson_Pamgen_Tpetra_main.cpp File Reference

Example: Discretize Poisson's equation with Dirichlet boundary conditions on a hexahedral mesh using nodal (Hgrad) elements. The system is assembled into Tpetra data structures, and optionally solved. More...

`#include <cstdlib>`

`#include "Teuchos_oblackholestream.hpp"`

`#include "Teuchos_TimeMonitor.hpp"`

`#include "Teuchos_XMLParameterListHelpers.hpp"`

`#include "Teuchos_StandardCatchMacros.hpp"`

`#include "TrilinosCouplings_config.h"`

`#include "TrilinosCouplings_TpetraIntrepidPoissonExample.hpp"`

`#include "TrilinosCouplings_IntrepidPoissonExampleHelpers.hpp"`

`#include "Tpetra_Core.hpp"`

`#include "MatrixMarket_Tpetra.hpp"`

Include dependency graph for IntrepidPoisson_Pamgen_Tpetra_main.cpp:

## Functions | |

int | main (int argc, char *argv[]) |

Example: Discretize Poisson's equation with Dirichlet boundary conditions on a hexahedral mesh using nodal (Hgrad) elements. The system is assembled into Tpetra data structures, and optionally solved.

This example uses the following Trilinos packages:

- Pamgen to generate a Hexahedral mesh.
- Sacado to form the source term from user-specified manufactured solution.
- Intrepid to build the discretization matrix and right-hand side.
- Tpetra to handle the global sparse matrix and dense vector.

Poisson system: div A grad u = f in Omega u = g on Gamma where A is a material tensor (typically symmetric positive definite) f is a given source term Corresponding discrete linear system for nodal coefficients(x): Kx = b K - HGrad stiffness matrix b - right hand side vector

- Remarks
- Use the "--help" command-line argument for usage info.
- Example driver has an option to use an input file (XML serialization of a Teuchos::ParameterList) containing a Pamgen mesh description. A version, Poisson.xml, is included in the same directory as this driver. If not included, this program will use a default mesh description.
- The exact solution (u) and material tensor (A) are set in the functions "exactSolution" and "materialTensor" and may be modified by the user. We compute the source term f from u using Sacado automatic differentiation, so that u really is the exact solution. The current implementation of exactSolution() has notes to guide your choice of solution. For example, you might want to pick a solution in the finite element space, so that the discrete solution is exact if the solution of the linear system is exact (modulo rounding error when constructing the linear system).

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