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| 1 | +module FESpaceConstructors |
| 2 | + |
| 3 | +using Gridap |
| 4 | +using Gridap.Helpers |
| 5 | +import Gridap: FESpace |
| 6 | + |
| 7 | + |
| 8 | +function FESpace(;kwargs...) |
| 9 | + |
| 10 | + reffe = _get_kwarg(:reffe,kwargs) |
| 11 | + @assert isa(reffe,Symbol) "For the moment, reffe can only be a symbol" |
| 12 | + |
| 13 | + |
| 14 | + model = _get_kwarg(:model,kwargs) |
| 15 | + labels = _get_kwarg(:labels,kwargs,nothing) |
| 16 | + conformity = _get_kwarg(:conformity,kwargs,true) |
| 17 | + |
| 18 | + diritags = _get_kwarg(:diritags,kwargs,Int[]) |
| 19 | + dirimasks = _get_kwarg(:dirimasks,kwargs,nothing) |
| 20 | + |
| 21 | + order = _get_kwarg(:order,kwargs) |
| 22 | + |
| 23 | + polytope = _get_polytope(model) |
| 24 | + |
| 25 | + constraint = _get_kwarg(:constraint,kwargs,nothing) |
| 26 | + |
| 27 | + dim = celldim(model) |
| 28 | + |
| 29 | + fespace = nothing |
| 30 | + |
| 31 | + if reffe in [:Lagrangian,:QLagrangian,:PLagrangian] |
| 32 | + |
| 33 | + T = _get_kwarg(:valuetype,kwargs,nothing) |
| 34 | + if T == nothing |
| 35 | + error("valuetype is a mandatory keyword argument in FESpace constructor for Lagrangian reference FEs") |
| 36 | + end |
| 37 | + |
| 38 | + if _is_reffe_lagrangian_compatible_with_polytope(reffe,polytope) |
| 39 | + |
| 40 | + if conformity in [false, :L2] |
| 41 | + if labels == nothing |
| 42 | + fespace = DLagrangianFESpace(T,model,order,diritags,dirimasks) |
| 43 | + else |
| 44 | + fespace = DLagrangianFESpace(T,model,labels,order,diritags,dirimasks) |
| 45 | + end |
| 46 | + |
| 47 | + elseif conformity in [true, :default, :H1] |
| 48 | + if labels == nothing |
| 49 | + fespace = CLagrangianFESpace(T,model,order,diritags,dirimasks) |
| 50 | + else |
| 51 | + fespace = CLagrangianFESpace(T,model,labels,order,diritags,dirimasks) |
| 52 | + end |
| 53 | + |
| 54 | + else |
| 55 | + |
| 56 | + s = "Conformity $conformity not implemented for $reffe reference FE on a $(_poly_type(polytope))" |
| 57 | + error(s) |
| 58 | + |
| 59 | + end |
| 60 | + |
| 61 | + elseif reffe == :PLagrangian |
| 62 | + |
| 63 | + if conformity in [false, :L2] |
| 64 | + |
| 65 | + _reffe = PDiscRefFE(T,polytope,order) |
| 66 | + fespace = DiscFESpace(_reffe,model) |
| 67 | + |
| 68 | + else |
| 69 | + |
| 70 | + s = "Conformity $conformity not possible for $reffe reference FE on a $(_poly_type(polytope))" |
| 71 | + error(s) |
| 72 | + |
| 73 | + end |
| 74 | + |
| 75 | + |
| 76 | + else |
| 77 | + error("Reference element $reffe nor implemented on a $(_poly_type(polytope))") |
| 78 | + end |
| 79 | + |
| 80 | + elseif reffe == :RaviartThomas |
| 81 | + |
| 82 | + if ! _is_cube(polytope) |
| 83 | + error("RaviartThomas reference FEs can only be constructed on top of a ncube. Check your model.") |
| 84 | + end |
| 85 | + |
| 86 | + _reffe = RaviartThomasRefFE(polytope,order) |
| 87 | + |
| 88 | + if conformity in [false, :L2] |
| 89 | + |
| 90 | + fespace = DiscFESpace(_reffe,model) |
| 91 | + |
| 92 | + elseif conformity in [true, :default, :HDiv] |
| 93 | + |
| 94 | + if labels == nothing |
| 95 | + _labels = FaceLabels(model) |
| 96 | + else |
| 97 | + _labels = labels |
| 98 | + end |
| 99 | + |
| 100 | + grid = Grid(model) |
| 101 | + trian = Triangulation(grid) |
| 102 | + graph = GridGraph(model) |
| 103 | + |
| 104 | + fespace = ConformingFESpace(_reffe,trian,graph,_labels,diritags) |
| 105 | + |
| 106 | + else |
| 107 | + |
| 108 | + s = "Conformity $conformity not possible for a $reffe reference FE" |
| 109 | + error(s) |
| 110 | + |
| 111 | + end |
| 112 | + |
| 113 | + |
| 114 | + else |
| 115 | + error("Reference element $reffe not implemented") |
| 116 | + end |
| 117 | + |
| 118 | + @assert fespace != nothing |
| 119 | + |
| 120 | + if constraint == nothing |
| 121 | + return fespace |
| 122 | + |
| 123 | + elseif constraint == :zeromean |
| 124 | + return ZeroMeanFESpace(fespace,order) |
| 125 | + |
| 126 | + else |
| 127 | + error("Unknown constraint value $constraint") |
| 128 | + |
| 129 | + end |
| 130 | + |
| 131 | +end |
| 132 | + |
| 133 | +function _get_kwarg(kwarg,kwargs) |
| 134 | + |
| 135 | + try |
| 136 | + return kwargs[kwarg] |
| 137 | + catch |
| 138 | + s = "The key-word argument $(kwarg) is mandatory in the FESpace constructor" |
| 139 | + error(s) |
| 140 | + end |
| 141 | + |
| 142 | +end |
| 143 | + |
| 144 | +function _get_kwarg(kwarg,kwargs,value) |
| 145 | + |
| 146 | + try |
| 147 | + return kwargs[kwarg] |
| 148 | + catch |
| 149 | + return value |
| 150 | + end |
| 151 | + |
| 152 | +end |
| 153 | + |
| 154 | +function _get_polytope(model) |
| 155 | + |
| 156 | + polys = CellPolytopes(Grid(model)) |
| 157 | + |
| 158 | + @notimplementedif ! isa(polys,ConstantCellValue) |
| 159 | + |
| 160 | + polys.value |
| 161 | + |
| 162 | +end |
| 163 | + |
| 164 | +function _is_reffe_lagrangian_compatible_with_polytope(reffe,polytope) |
| 165 | + v = (reffe == :Lagrangian) |
| 166 | + v = v || (reffe == :QLagrangian && _is_cube(polytope)) |
| 167 | + v = v || (reffe == :PLagrangian && _is_simplex(polytope)) |
| 168 | + v |
| 169 | +end |
| 170 | + |
| 171 | +_is_cube(p) = all(p.extrusion.array .== HEX_AXIS) |
| 172 | + |
| 173 | +_is_simplex(p) = all(p.extrusion.array .== TET_AXIS) |
| 174 | + |
| 175 | +function _poly_type(p) |
| 176 | + |
| 177 | + if _is_cube(p) |
| 178 | + t = :ncube |
| 179 | + elseif _is_simplex(p) |
| 180 | + t = :simplex |
| 181 | + else |
| 182 | + @notimplemented |
| 183 | + end |
| 184 | + |
| 185 | + return t |
| 186 | + |
| 187 | +end |
| 188 | + |
| 189 | + |
| 190 | + |
| 191 | +end # module |
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