deal.II¶

Adaptive mesh refinement and very large parallel computations, in C++.

Install¶

sudo apt install libdeal.ii-dev

Version 9.3 or newer is needed for all examples (Ubuntu 20.04 ships 9.1.1). If you build it yourself, use -DCMAKE_BUILD_TYPE=DebugRelease: a Release build removes the internal checks, so mistakes fail silently.

Then check that openPASO sees it:

python check_install.py

What openPASO knows for deal.II¶

27 kinds of problem. Ask for any of them in plain words; the names below are what the model uses internally.

Physics	Description	Dimensions	Templates
`advection_dg`	Pure DG advection (step-9, step-12). Distinct from dg_advection_reaction (step-12, step-39) — advection_dg covers step-9 transport without reaction term. DoFTools::make_flux_sparsity_pattern required for face coupling.	2-D	`2d`
`contact`	Contact / variational inequalities (step-41, step-42). Active-set strategy. Related to obstacle_problem (the dealii backend's primary name for this class) — distinct deep_knowledge entry kept for active-set-strategy specifics.	2-D, 3-D	`2d`
`convection_diffusion`	Convection-diffusion with SUPG stabilization (step-9 based)	2-D	`2d`
`dg_advection_reaction`	DG advection-reaction (step-12, step-39)	2-D	`2d`
`dg_transport`	Discontinuous Galerkin for advection problems (step-12 pattern)	2-D	`2d`
`eigenvalue`	Eigenvalue problems via SLEPc (step-36 inspired)	2-D	`2d`
`error_estimation`	Adaptive error estimation, Kelly + AMR (step-6, step-14)	2-D	`2d`
`heat`	Heat equation (transient step-26 and steady-state, with rectangle)	2-D	`2d_transient`, `2d_steady`, `rectangle`
`helmholtz`	Helmholtz equation (complex-valued, step-29 inspired)	2-D	`2d`
`hp_adaptive`	hp-adaptive FEM with automatic smoothness estimation (step-27 pattern)	2-D	`2d`
`hyperelasticity`	Finite-strain hyperelasticity with Neo-Hookean material (step-44 pattern)	3-D	`3d`
`linear_elasticity`	Linear elasticity (step-8, with thick beam variant)	2-D	`2d`, `thick_beam`
`matrix_free`	Matrix-free high-performance FEM (step-37, step-59)	2-D, 3-D	`2d`
`mixed_laplacian`	Mixed Laplacian with Raviart-Thomas H(div) (step-20)	2-D	`2d`
`multigrid`	Geometric multigrid preconditioner (step-16, step-50)	2-D, 3-D	`2d`
`navier_stokes`	Navier-Stokes: stationary + transient (step-57, step-35)	2-D, 3-D	`2d`
`nonlinear`	Nonlinear PDE (minimal surface, step-15, Newton method)	2-D	`2d_minimal_surface`
`nonlinear_elasticity`	Nonlinear solid mechanics (step-44). Neo-Hookean three-field (u, p, J) formulation for quasi-incompressible materials. Distinct from hyperelasticity (broader catalog) — this entry focuses on the step-44 three-field method.	3-D	`3d`
`obstacle_problem`	Variational inequality / contact (step-41)	2-D	`2d`
`parallel_poisson`	MPI-parallel Poisson solver with p4est (step-40 pattern)	2-D	`2d`
`phase_field`	Phase-field / ADR with SUPG (step-63)	2-D	`2d`
`poisson`	Poisson / Laplace equation (step-3/6/7, with AMR, L-domain, rectangle, 3D mixed Dirichlet-Neumann MMS convergence study)	2-D, 3-D	`2d`, `3d`, `l_domain`, `rectangle`, `2d_adaptive`, `3d_mixed_bc`
`stokes`	Stokes flow (step-22, Taylor-Hood Q2/Q1, block preconditioner)	2-D	`2d`
`time_dependent_heat`	Transient heat with AMR (step-26)	2-D	`2d`
`time_dependent_ns`	Transient Boussinesq flow (step-35)	2-D	`2d`
`time_dependent_wave`	Wave equation (step-23, step-48)	2-D, 3-D	`2d`
`wave`	Wave equation with Newmark time integration (step-23 inspired)	2-D	`2d`