Implemented support for solving the Poisson problem in 2D #90
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… from the isoparametric simplex
This class represents the space of finite element shape functions in the physical space.
Moved the definition of type {parametric_point_t} from the manifolds api to the {OrientedSimplex} class. Now an oriented simplex knows the type of its parametric coordinates.
This information can now be shared with those who need to know, including the {IsoparametricSimplex}, the {Manifold} and the {QuadratureTable} classes.
…tes_type} from the {cell_type}
…s, instead of a mesh and a coordinate system
Corrected misalignment of nodes numbering between equation map and shape function on the elements involving nodes with attached Dirichlet boundary conditions.
…n terms of {std::map}
Methods {shape} and {gradient} now return maps from nodes to the corresponding evaluated shape functions and gradients, respectively.
Before this commit, the methods that build geometric simplices on top of a given simplex and a collection of nodes made copies of the nodes to be stored in the geometric simplex. The unwanted behaviour was causing a bug in the extraction of the boundary simplices of a mesh as it led to the duplication of all the boundary nodes in the boundary simplices. This has now been fixed. The methods that build geometric simplices on top of a given simplex and a collection of nodes do not make copies of nodes any more.
…ditions in poisson test driver This implementation now works correctly after rev. 61a2523 and the fixing of a few glitches (namely, setting -1 in the equation map for boundary nodes and declaring/defining the {N_equations} variable)
…oisson test driver
… Dirichlet constraint
… class {Manifold}
…equipped with an equation map This class should also be aware of the 'weakform bricks' that constitute the system. Each brick containing a piece of the weakform to be assembled.
…the discretized variable
Fix initialization of the number of equations in class {DiscreteSystem}.
…metricSimplex} satisfies concept {geometric_simplex_c}
…mber of elements in the manifold
Discretization is carried out via a class {Discretizer}, which admits specializations based on the finite element and the discretization type.
The specialization of {isoparametric_simplex} struct is now within each element-specific subdirectory.
Not sure if we still need to ensure that {vtk@9.1.0} is used.
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