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# M++ (Meshes, Multigrid and more)
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M++ is a parallel Finite Element Software to solve partial differential equations developed at the Institute for Applied and Numerical Mathematics in the group Sientific Computing. It is programmed in C++ uses MPI to distribute the computations and provides a python interface. M++ finds usage in research projects and as teaching tool for scientific computing.
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Every problem class can be created individually and solved by the following standard solvers:
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Finite Elements: Lagrange, Discontinuous Lagrange, Nedelec, Raviart-Thomas
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Solvers: CG, GMRES, BiCGStab, MINRES
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Preconditioners: Jacobi, GaussSeidel, SSOR, parallel direct solvers
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Usage of different external routines: BLAS, LAPACK, SuperLU
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Different plotting standards: vtk, gp
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There is a variety of predefined problem classes, e.g. Poisson, Darcy, convection-diffusion-reaktion, transport, Stokes, elasticity and plasticity, Maxwell, etc.
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Further examples for the usage of M++ is given by tutorial exercises which can be found on Einführung in das Wissenschaftliche Rechnen.
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Installation guide
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You can find a recent version of M++ of GitLab:
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Mpp
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This git-repository is used in other git-repositories to realize different projects like:
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Tutorial
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MLMC
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The installation process is described in a readme-markdown on the corresponding git repository.
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Publications
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Simulation results with M++ were used in many dissertations and articles.
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Summerschool lecture on space-time methods of wave equations
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The modules for the wave equations can be downloaded and tested by
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svn co -r 675 https://svn.math.kit.edu/svn/M++/SummerSchool
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cd SummerSchool
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make TimeStepping
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make SpaceTime
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mpirun -n 4 M++TimeStepping
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mpirun -n 4 M++SpaceTime
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Details on the numerical methods are documented in the
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Lecture on Space-Time Methods for the Wave Equation.
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Details to SVN and the example are on page 17.
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Tutorial for our summerschool on Full Waveform Inversion
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The modules for testing algorithms for full waveform inversion can be downloaded an started by
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svn co -r 963 https://svn.math.kit.edu/svn/M++/FWI-SummerSchool
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cd FWI-SummerSchool/
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make -j FWI
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mpirun -n 4 fwi forward
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paraview &
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python3 tools/seismogram_lib.py data/FWI/seis_1.1_2.1
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Some exercises and details on the numerical methods are given in the
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Practice Sheet on Full Waveform Inversion.
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M++ is a parallel Finite Element Software to solve partial differential equations developed at the Institute for Applied and Numerical Mathematics in the group Sientific Computing. It is programmed in C++ uses MPI to distribute the computations and provides a python interface. M++ finds usage in many research projects and as teaching tool for scientific computing.
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### Features:
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* Finite Elements: Lagrange, Discontinuous Lagrange, Nedelec, Raviart-Thomas
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* Solvers: CG, GMRES, BiCGStab, MINRES
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* Preconditioners: Jacobi, GaussSeidel, SSOR, parallel direct solvers
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* Usage of different external routines: BLAS, LAPACK, SuperLU
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* Different plotting standards: vtk, gp
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* There is a variety of predefined problem classes, e.g. Poisson, Darcy, convection-diffusion-reaktion, transport, * * Stokes, elasticity and plasticity, Maxwell, etc.
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### Publications
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*
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