Add overload for LagrangeBasis with single node

examples/CMakeLists.txt

@@ -35,4 +35,4 @@ endif ()
 if (dune-foamgrid_FOUND)
   add_amdis_executable(NAME surface.2d SOURCES surface.cc DIM 2 DOW 3 ALBERTA_GRID)
   add_dependencies(examples surface.2d)
-endif ()
\ No newline at end of file
+endif ()

examples/boundary.cc

@@ -11,10 +11,8 @@
 #include <amdis/Integrate.hpp>
 #include <amdis/ProblemStat.hpp>
 #include <amdis/LocalOperators.hpp>
-#include <amdis/common/Literals.hpp>
 
 using namespace AMDiS;
-using namespace Dune::Indices;
 
 // 1 component with polynomial degree 2
 using Param   = YaspGridBasis<GRIDDIM, 2>;
@@ -28,7 +26,7 @@ void run(SetBoundary setBoundary)
   setBoundary(prob.boundaryManager());
 
   auto opL = makeOperator(tag::gradtest_gradtrial{}, 1.0);
-  prob.addMatrixOperator(opL, 0, 0);
+  prob.addMatrixOperator(opL);
 
   auto f = [](auto const& x) {
     double r2 = dot(x,x);
@@ -36,18 +34,18 @@ void run(SetBoundary setBoundary)
     return -(400.0 * r2 - 20.0 * x.size()) * ux;
   };
   auto opForce = makeOperator(tag::test{}, f, 6);
-  prob.addVectorOperator(opForce, 0);
+  prob.addVectorOperator(opForce);
 
   // set boundary condition
   auto g = [](auto const& x){ return std::exp(-10.0 * dot(x,x)); };
-  prob.addDirichletBC(BoundaryType{1}, 0, 0, g);
+  prob.addDirichletBC(BoundaryType{1}, g);
 
   AdaptInfo adaptInfo("adapt");
 
   prob.assemble(adaptInfo);
   prob.solve(adaptInfo);
 
-  double errorL2 = integrate(sqr(g - prob.solution(0)), prob.gridView(), 6);
+  double errorL2 = integrate(sqr(g - prob.solution()), prob.gridView(), 6);
   msg("error_L2 = {}", errorL2);
 }
 
@@ -69,17 +67,17 @@ void run_periodic()
   prob.boundaryManager().setBoxBoundary({-1,-1,1,1});
 
   auto opL = makeOperator(tag::gradtest_gradtrial{}, 1.0);
-  prob.addMatrixOperator(opL, 0, 0);
+  prob.addMatrixOperator(opL);
 
   auto opForce = makeOperator(tag::test{}, 1.0, 6);
-  prob.addVectorOperator(opForce, 0);
+  prob.addVectorOperator(opForce);
 
   // set boundary condition
   auto g = [](auto const& x) {
     return std::sin(0.5*M_PI*x[1])*std::sin(2*M_PI * (0.25 + x[0]))
          + std::cos(0.5*M_PI*x[1])*std::sin(2*M_PI * (-0.25 + x[0]));
   };
-  prob.addDirichletBC(BoundaryType{1}, 0, 0, g);
+  prob.addDirichletBC(BoundaryType{1}, g);
 
   typename ElliptProblem::WorldMatrix A{{1.0,0.0}, {0.0,1.0}};
   typename ElliptProblem::WorldVector b{1.0, 0.0};

examples/convection_diffusion.cc

@@ -6,7 +6,6 @@
 #include <amdis/AMDiS.hpp>
 #include <amdis/ProblemStat.hpp>
 #include <amdis/localoperators/ConvectionDiffusionOperator.hpp>
-#include <amdis/common/Literals.hpp>
 
 using namespace AMDiS;
 
@@ -19,20 +18,18 @@ int main(int argc, char** argv)
 {
   Environment env(argc, argv);
 
-  using namespace Dune::Indices;
-
   ElliptProblem prob("ellipt");
   prob.initialize(INIT_ALL);
 
   // -div(A*grad(u)) + div(b*u) + c*u = f
   auto opCD = convectionDiffusion(/*A=*/1.0, /*b=*/0.0, /*c=*/1.0, /*f=*/1.0);
-  prob.addMatrixOperator(opCD, 0, 0);
-  prob.addVectorOperator(opCD, 0);
+  prob.addMatrixOperator(opCD);
+  prob.addVectorOperator(opCD);
 
   // set boundary condition
   auto predicate = [](auto const& x){ return x[0] < 1.e-8 || x[1] < 1.e-8; }; // define boundary
   auto dbcValues = [](auto const& x){ return 0.0; }; // set value
-  prob.addDirichletBC(predicate, 0, 0, dbcValues);
+  prob.addDirichletBC(predicate, dbcValues);
 
   AdaptInfo adaptInfo("adapt");
   prob.assemble(adaptInfo);

examples/ellipt.cc

@@ -8,7 +8,6 @@
 using Grid = Dune::YaspGrid<GRIDDIM>;
 
 using namespace AMDiS;
-using namespace Dune::Indices;
 
 int main(int argc, char** argv)
 {
@@ -34,13 +33,13 @@ int main(int argc, char** argv)
   prob.initialize(INIT_ALL);
 
   auto opL = makeOperator(tag::gradtest_gradtrial{}, 1.0);
-  prob.addMatrixOperator(opL, 0, 0);
+  prob.addMatrixOperator(opL);
 
   auto opForce = makeOperator(tag::test{}, f, 6);
-  prob.addVectorOperator(opForce, 0);
+  prob.addVectorOperator(opForce);
 
   // set boundary condition
-  prob.addDirichletBC(1, 0, 0, g);
+  prob.addDirichletBC(1, g);
 
   AdaptInfo adaptInfo("adapt");
 
@@ -65,9 +64,9 @@ int main(int argc, char** argv)
     prob.assemble(adaptInfo);
     prob.solve(adaptInfo);
 
-    double errorL2 = integrate(sqr(g - prob.solution(0)), prob.gridView(), 6);
+    double errorL2 = integrate(sqr(g - prob.solution()), prob.gridView(), 6);
     errL2.push_back(std::sqrt(errorL2));
-    double errorH1 = errorL2 + integrate(unary_dot(grad_g - gradientAtQP(prob.solution(0))), prob.gridView(), 6);
+    double errorH1 = errorL2 + integrate(unary_dot(grad_g - gradientAtQP(prob.solution())), prob.gridView(), 6);
     errH1.push_back(std::sqrt(errorH1));
   }
 

examples/heat.cc

@@ -9,7 +9,6 @@
 #include <amdis/ProblemInstat.hpp>
 #include <amdis/ProblemStat.hpp>
 #include <amdis/GridFunctions.hpp>
-#include <amdis/common/Literals.hpp>
 
 using namespace AMDiS;
 
@@ -34,23 +33,23 @@ int main(int argc, char** argv)
   auto invTau = std::ref(probInstat.invTau());
 
   auto opTimeLhs = makeOperator(tag::test_trial{}, invTau);
-  prob.addMatrixOperator(opTimeLhs, 0, 0);
+  prob.addMatrixOperator(opTimeLhs);
 
   auto opL = makeOperator(tag::gradtest_gradtrial{}, 1.0);
-  prob.addMatrixOperator(opL, 0, 0);
+  prob.addMatrixOperator(opL);
 
   auto opTimeRhs = makeOperator(tag::test{},
-    invokeAtQP([invTau](double u) { return u * invTau.get(); }, prob.solution(0)), 2);
-  prob.addVectorOperator(opTimeRhs, 0);
+    invokeAtQP([invTau](double u) { return u * invTau.get(); }, prob.solution()), 2);
+  prob.addVectorOperator(opTimeRhs);
 
   auto opForce = makeOperator(tag::test{}, [](auto const& x) { return -1.0; }, 0);
-  prob.addVectorOperator(opForce, 0);
+  prob.addVectorOperator(opForce);
 
 
   // set boundary condition
   auto predicate = [](auto const& p){ return p[0] < 1.e-8 || p[1] < 1.e-8; };
   auto dbcValues = [](auto const& p){ return 0.0; };
-  prob.addDirichletBC(predicate, 0, 0, dbcValues);
+  prob.addDirichletBC(predicate, dbcValues);
 
   AdaptInstationary adapt("adapt", prob, adaptInfo, probInstat, adaptInfo);
   adapt.adapt();

examples/init/boundary.dat.2d

@@ -8,7 +8,7 @@ ellipt->solver->relative tolerance: 1.e-10
 ellipt->solver->info:           1
 ellipt->solver->precon:         ilu
 
-ellipt->output[0]->format:      vtk
-ellipt->output[0]->filename:    boundary.2d
-ellipt->output[0]->name:        u
-ellipt->output[0]->output directory: ./output
+ellipt->output->format:      vtk
+ellipt->output->filename:    boundary.2d
+ellipt->output->name:        u
+ellipt->output->output directory: ./output

examples/init/cahn_hilliard.dat.2d

@@ -16,7 +16,7 @@ ch->solver:                     direct
 ch->solver->max iteration:      1000
 ch->solver->relative tolerance: 1e-6
 ch->solver->break if tolerance not reached: 1
-ch->solver->info: 2
+ch->solver->info: 0
 
 ch->output[0]->format:             vtk
 ch->output[0]->filename:           phi.2d
@@ -34,4 +34,4 @@ ch->output[1]->animation:          1
 
 adapt->timestep:    0.001
 adapt->start time:  0.0
-adapt->end time:    1.0
+adapt->end time:    0.5

examples/init/ellipt.dat.2d

@@ -13,7 +13,7 @@ ellipt->solver->max iteration: 10000
 ellipt->solver->relative tolerance: 1.e-10
 ellipt->solver->precon: ilu
 
-ellipt->output[0]->format: vtk backup
-ellipt->output[0]->filename: ellipt.2d
-ellipt->output[0]->name: u
-ellipt->output[0]->output directory: ./output
+ellipt->output->format: vtk backup
+ellipt->output->filename: ellipt.2d
+ellipt->output->name: u
+ellipt->output->output directory: ./output

examples/init/ellipt.dat.3d

@@ -13,7 +13,7 @@ ellipt->solver->max iteration: 10000
 ellipt->solver->relative tolerance: 1.e-10
 ellipt->solver->precon: ilu
 
-ellipt->output[0]->format: vtk
-ellipt->output[0]->filename: ellipt.3d
-ellipt->output[0]->name: u
-ellipt->output[0]->output directory: ./output
+ellipt->output->format: vtk
+ellipt->output->filename: ellipt.3d
+ellipt->output->name: u
+ellipt->output->output directory: ./output

examples/init/heat.dat.2d

@@ -12,12 +12,12 @@ heat->solver->absolute tolerance: 1e-6
 heat->solver->info: 1
 heat->solver->precon: ilu
 
-heat->output[0]->format: vtk backup
-heat->output[0]->name: u
-heat->output[0]->filename: heat.2d
-heat->output[0]->output directory: output
-heat->output[0]->mode: 1
-heat->output[0]->animation: 1
+heat->output->format: vtk backup
+heat->output->name: u
+heat->output->filename: heat.2d
+heat->output->output directory: output
+heat->output->mode: 1
+heat->output->animation: 1
 
 adapt->timestep:    0.1
 adapt->start time:  0.0

examples/init/surface.dat.2d

@@ -9,7 +9,7 @@ surface->solver->relative tolerance: 1.e-6
 surface->solver->info:           1
 surface->solver->precon:         ilu
 
-surface->output[0]->format:      vtk
-surface->output[0]->filename:    surface.2d
-surface->output[0]->name:        u
-surface->output[0]->output directory: ./output
+surface->output->format:      vtk
+surface->output->filename:    surface.2d
+surface->output->name:        u
+surface->output->output directory: ./output

examples/neumann.cc

@@ -15,10 +15,8 @@
 #include <amdis/Integrate.hpp>
 #include <amdis/ProblemStat.hpp>
 #include <amdis/LocalOperators.hpp>
-#include <amdis/common/Literals.hpp>
 
 using namespace AMDiS;
-using namespace Dune::Indices;
 
 template <class Grid>
 void run(Grid& grid)
@@ -28,18 +26,18 @@ void run(Grid& grid)
   using Traits = LagrangeBasis<Grid, 2>;
   ProblemStat<Traits> prob("ellipt", grid);
   prob.initialize(INIT_ALL);
-  prob.boundaryManager().setBoxBoundary({1,2,2,1});
+  prob.boundaryManager()->setBoxBoundary({1,2,2,1});
 
   auto opL = makeOperator(tag::gradtest_gradtrial{}, 1.0);
-  prob.addMatrixOperator(opL, 0, 0);
+  prob.addMatrixOperator(opL);
 
   // set dirichlet boundary condition
   auto g = [](auto const& x) { return 0.0; };
-  prob.addDirichletBC(BoundaryType{1}, 0, 0, g);
+  prob.addDirichletBC(BoundaryType{1}, g);
 
   // set neumann boundary condition
   auto opNeumann = makeOperator(tag::test{}, 1.0);
-  prob.addVectorOperator(BoundaryType{2}, opNeumann, 0);
+  prob.addVectorOperator(BoundaryType{2}, opNeumann);
 
   AdaptInfo adaptInfo("adapt");
 

examples/periodic.cc

@@ -11,7 +11,6 @@
 #include <amdis/Integrate.hpp>
 #include <amdis/ProblemStat.hpp>
 #include <amdis/LocalOperators.hpp>
-#include <amdis/common/Literals.hpp>
 
 using namespace AMDiS;
 

examples/surface.cc

@@ -3,7 +3,6 @@
 #include <amdis/Integrate.hpp>
 #include <amdis/LocalOperators.hpp>
 #include <amdis/ProblemStat.hpp>
-#include <amdis/common/Literals.hpp>
 
 #include <dune/grid/albertagrid/albertareader.hh>
 #include <dune/foamgrid/foamgrid.hh>
@@ -12,7 +11,6 @@
 #include "SphereMapping.hpp"
 
 using namespace AMDiS;
-using namespace Dune::Indices;
 
 using Grid = Dune::FoamGrid<2,3>;
 using Basis = LagrangeBasis<Grid, 1>;
@@ -44,14 +42,14 @@ int main(int argc, char** argv)
   prob.initialize(INIT_ALL);
 
   auto opL = makeOperator(tag::gradtest_gradtrial{}, 1.0);
-  prob.addMatrixOperator(opL, 0, 0);
+  prob.addMatrixOperator(opL);
 
   double kappa = Parameters::get<double>("surface->kappa").value_or(1.0);
   auto opM = makeOperator(tag::test_trial{}, -kappa*kappa);
-  prob.addMatrixOperator(opM, 0, 0);
+  prob.addMatrixOperator(opM);
 
   auto opForce = makeOperator(tag::test{}, X(0) + X(1) + X(2));
-  prob.addVectorOperator(opForce, 0);
+  prob.addVectorOperator(opForce);
 
   AdaptInfo adaptInfo("adapt");
   prob.assemble(adaptInfo);

src/amdis/ProblemStat.hpp

@@ -266,6 +266,12 @@ namespace AMDiS
                         RowTreePath row, ColTreePath col,
                         Values const& values);
 
+    template <class Identifier, class Values>
+    void addDirichletBC(Identifier&& id, Values&& values)
+    {
+      addDirichletBC(FWD(id), RootTreePath{}, RootTreePath{}, FWD(values));
+    }
+
     /// Add a periodic boundary conditions to the system, by specifying a face transformation
     /// y = A*x + b of coordinates. We assume, that A is orthonormal.
     void addPeriodicBC(BoundaryType id, WorldMatrix const& A, WorldVector const& b);

src/amdis/ProblemStatTraits.hpp

@@ -18,6 +18,17 @@ namespace AMDiS
     template <bool same, int... degs>
     struct LagrangePreBasisCreatorImpl;
 
+    // specialization for single node basis
+    template <int deg>
+    struct LagrangePreBasisCreatorImpl<true, deg>
+    {
+      static auto create()
+      {
+        using namespace Dune::Functions::BasisFactory;
+        return lagrange<deg>();
+      }
+    };
+
     // specialization for composite basis
     template <int... degs>
     struct LagrangePreBasisCreatorImpl<false, degs...>

test/ExpressionsTest.cpp

@@ -7,7 +7,6 @@
 #include <amdis/Integrate.hpp>
 #include <amdis/LocalOperators.hpp>
 #include <amdis/ProblemStat.hpp>
-#include <amdis/common/Literals.hpp>
 #include <amdis/common/FieldMatVec.hpp>
 
 
@@ -20,12 +19,10 @@ int main(int argc, char** argv)
 {
   Environment env(argc, argv);
 
-  using namespace Dune::Indices;
-
   ElliptProblem prob("ellipt");
   prob.initialize(INIT_ALL);
 
-  auto u = prob.solution(_0);
+  auto u = prob.solution();
 
   // eval a functor at global coordinates (at quadrature points)
   auto expr1 = evalAtQP([](Dune::FieldVector<double, 2> const& x) { return x[0] + x[1]; });
@@ -42,7 +39,7 @@ int main(int argc, char** argv)
   auto expr8 = X(0);
 
   // Evaluation of the DOFVector (component) at quadrature points
-  auto expr9 = prob.solution(_0);
+  auto expr9 = prob.solution();
 
   // ---------------------------------
 

test/IntegrateTest.cpp

@@ -23,7 +23,7 @@ int main(int argc, char** argv)
   ElliptProblem prob("ellipt");
   prob.initialize(INIT_ALL);
 
-  auto u = prob.solution(0);
+  auto u = prob.solution();
   auto gv = u.basis().gridView();
 
   u << 1.0;