diff --git a/amdis/DOFVector.hpp b/amdis/DOFVector.hpp
index ececc17c520f8e73fe74fac64eaa8d79588ea834..555245157040e4d01671590f82e47c8f544aba08 100644
--- a/amdis/DOFVector.hpp
+++ b/amdis/DOFVector.hpp
@@ -13,6 +13,7 @@
 #include <amdis/Observer.hpp>
 #include <amdis/common/Concepts.hpp>
 #include <amdis/common/TypeTraits.hpp>
+#include <amdis/functions/ParallelGlobalBasis.hpp>
 #include <amdis/gridfunctions/DiscreteFunction.hpp>
 #include <amdis/typetree/TreePath.hpp>
 
@@ -74,12 +75,11 @@ namespace AMDiS
       : DOFVector(Dune::wrap_or_move(FWD(basis)), op)
     {}
 
-    /// (3) Constructor. Forwards to (1) by creating a new basis from a dune-functions basis.
-    template <class GB_,
-      REQUIRES(not Concepts::Similar<GB_,GB>),
-      REQUIRES(Concepts::GlobalBasis<GB_>)>
-    DOFVector(GB_&& basis, DataTransferOperation op = DataTransferOperation::INTERPOLATE)
-      : DOFVector(std::make_shared<GB>(std::move(basis)), op)
+    /// (3) Constructor. Forwards to (1) by creating a new basis from a dune-functions pre-basis factory.
+    template <class GV, class PBF,
+      REQUIRES(Concepts::PreBasisFactory<PBF, GV, MultiIndex_t<PBF>>)>
+    DOFVector(GV const& gridView, PBF const& preBasisFactory, DataTransferOperation op = DataTransferOperation::INTERPOLATE)
+      : DOFVector(std::make_shared<GB>(gridView, preBasisFactory), op)
     {}
 
     std::shared_ptr<GlobalBasis const> const& basis() const { return basis_; }
@@ -224,6 +224,10 @@ namespace AMDiS
   DOFVector(GB&& basis, DataTransferOperation op = DataTransferOperation::INTERPOLATE)
     -> DOFVector<ParallelGlobalBasis<typename Underlying_t<GB>::PreBasis>>;
 
+  template <class GV, class PBF>
+  DOFVector(GV const& gridView, PBF const& pbf, DataTransferOperation op = DataTransferOperation::INTERPOLATE)
+    -> DOFVector<decltype(ParallelGlobalBasis{gridView,pbf})>;
+
 
   /// \brief Create a DOFVector from a basis.
   /**
diff --git a/amdis/ProblemStat.hpp b/amdis/ProblemStat.hpp
index 5471a940ecc92ae111cee87e504c55d0b043bc9f..0f154450b156294e7b8689e0672555bdcf2316d0 100644
--- a/amdis/ProblemStat.hpp
+++ b/amdis/ProblemStat.hpp
@@ -116,7 +116,7 @@ namespace AMDiS
     /// on the fly.
     template <class Grid_, class PBF_,
       class GV_ = typename Underlying_t<Grid_>::LeafGridView,
-      REQUIRES(Concepts::PreBasisFactory<PBF_,GV_>)>
+      REQUIRES(Concepts::PreBasisFactory<PBF_, GV_, MultiIndex_t<PBF_>>)>
     ProblemStat(std::string const& name, Grid_&& grid, PBF_ const& preBasisFactory)
       : ProblemStat(name, FWD(grid))
     {
@@ -536,7 +536,7 @@ namespace AMDiS
 
     template <class G, class PBF>
     struct DeducedProblemTraits<G,PBF,
-      std::enable_if_t<Concepts::PreBasisFactory<PBF,typename G::LeafGridView>>>
+      std::enable_if_t<Concepts::PreBasisFactory<PBF, typename G::LeafGridView, MultiIndex_t<PBF>>>>
     {
       using Grid = AdaptiveGrid_t<G>;
       using GridView = typename Grid::LeafGridView;
diff --git a/amdis/common/Concepts.hpp b/amdis/common/Concepts.hpp
index d772544b358c6d1d8adf589bcae4854598084619..67183b81921aa3e63e17e8eb2fe52a24eb4bde9d 100644
--- a/amdis/common/Concepts.hpp
+++ b/amdis/common/Concepts.hpp
@@ -192,11 +192,11 @@ namespace AMDiS
     template <class GB, class GV = typename GB::GridView>
     using GlobalBasis_t = models_t<Dune::Functions::Concept::GlobalBasis<GV>(GB)>;
 
-    template <class PBF, class GV, class MultiIndex = std::array<std::size_t,1>>
-    constexpr bool PreBasisFactory = models<Definition::PreBasisFactory<MultiIndex>(PBF,GV)>;
+    template <class PBF, class GV, class MI = std::array<std::size_t,1>>
+    constexpr bool PreBasisFactory = models<Definition::PreBasisFactory<MI>(PBF,GV)>;
 
-    template <class PBF, class GV, class MultiIndex = std::array<std::size_t,1>>
-    using PreBasisFactory_t = models_t<Definition::PreBasisFactory<MultiIndex>(PBF,GV)>;
+    template <class PBF, class GV, class MI = std::array<std::size_t,1>>
+    using PreBasisFactory_t = models_t<Definition::PreBasisFactory<MI>(PBF,GV)>;
 
     /** @} **/
 
diff --git a/amdis/functions/ParallelGlobalBasis.hpp b/amdis/functions/ParallelGlobalBasis.hpp
index fe29ff08b3c4e9b1de24e846e03008b18a7491ca..bcd63d2b3d60429cd823aa6a27ee2922d0c73e70 100644
--- a/amdis/functions/ParallelGlobalBasis.hpp
+++ b/amdis/functions/ParallelGlobalBasis.hpp
@@ -38,7 +38,7 @@
 namespace AMDiS
 {
   template <class PreBasisFactory>
-  using MultiIndex = std::conditional_t<
+  using MultiIndex_t = std::conditional_t<
     (remove_cvref_t<PreBasisFactory>::requiredMultiIndexSize == 1),
     Dune::Functions::FlatMultiIndex<std::size_t>,
     Dune::ReservedVector<std::size_t, remove_cvref_t<PreBasisFactory>::requiredMultiIndexSize>>;
@@ -101,9 +101,9 @@ namespace AMDiS
 
     /// Construct this global basis with a preBasisFactory
     template <class PBF>
-    ParallelGlobalBasis(std::string const& name, GridView const& gridView, PBF&& preBasisFactory)
+    ParallelGlobalBasis(std::string const& name, GridView const& gridView, PBF const& preBasisFactory)
       : ParallelGlobalBasis(name, gridView.grid(),
-          preBasisFactory.template makePreBasis<MultiIndex<PBF>>(gridView))
+          preBasisFactory.template makePreBasis<MultiIndex_t<PBF>>(gridView))
     {}
 
     /// Construct this global basis with empty name
@@ -181,11 +181,11 @@ namespace AMDiS
   template <class GV, class PBF>
   ParallelGlobalBasis(std::string const& name, GV const& gridView, PBF&& preBasisFactory)
     -> ParallelGlobalBasis<decltype(
-         preBasisFactory.template makePreBasis<MultiIndex<PBF>>(gridView))>;
+         preBasisFactory.template makePreBasis<MultiIndex_t<PBF>>(gridView))>;
 
   template <class GV, class PBF>
   ParallelGlobalBasis(GV const& gridView, PBF&& preBasisFactory)
     -> ParallelGlobalBasis<decltype(
-         preBasisFactory.template makePreBasis<MultiIndex<PBF>>(gridView))>;
+         preBasisFactory.template makePreBasis<MultiIndex_t<PBF>>(gridView))>;
 
 } // end namespace AMDiS
diff --git a/test/DOFVectorTest.cpp b/test/DOFVectorTest.cpp
index a8faf178c463125c684ce54b180591701b991901..5ecfc92b65ff43371668ba704744a7c6ad654490 100644
--- a/test/DOFVectorTest.cpp
+++ b/test/DOFVectorTest.cpp
@@ -98,7 +98,7 @@ int main(int argc, char** argv)
     DOFVector<Basis> vec1(basis);
 
     // Conversion from Dune::Functions::DefaultGlobalBasis
-    auto vec2 = makeDOFVector(makeBasis(gridView, preBasis));
+    DOFVector vec2(gridView, preBasis);
 
     for (auto const& e : elements(gridView))
       grid.mark(1, e);