diff --git a/dune/tectonic/ellipticenergy.hh b/dune/tectonic/ellipticenergy.hh
index d16292b1fdf6c29fb9d49657e3c8e677b6079bdf..11924f548c2b88bc5e5845ce1f0eac9f83aa3741 100644
--- a/dune/tectonic/ellipticenergy.hh
+++ b/dune/tectonic/ellipticenergy.hh
@@ -12,28 +12,28 @@
 
 template <size_t dim> class EllipticEnergy {
 public:
-  using SmallVector = Dune::FieldVector<double, dim>;
-  using SmallMatrix = Dune::FieldMatrix<double, dim, dim>;
+  using LocalVector = Dune::FieldVector<double, dim>;
+  using LocalMatrix = Dune::FieldMatrix<double, dim, dim>;
 
   using Nonlinearity = LocalFriction<dim>;
 
-  EllipticEnergy(SmallMatrix const &A, SmallVector const &b,
+  EllipticEnergy(LocalMatrix const &A, LocalVector const &b,
                  std::shared_ptr<Nonlinearity const> phi,
                  typename Dune::BitSetVector<dim>::const_reference ignore)
       : A(A), b(b), phi(phi), ignore(ignore) {}
 
-  double operator()(SmallVector const &v) const {
+  double operator()(LocalVector const &v) const {
     return computeEnergy(A, v, b) + (*phi)(v);
   }
 
-  SmallMatrix const &A;
-  SmallVector const &b;
+  LocalMatrix const &A;
+  LocalVector const &b;
   std::shared_ptr<Nonlinearity const> const phi;
   /* Dimension that should be ignored; goes from 0 to dim-1; the
      special value dim means that no dimension should be ignored */
   typename Dune::BitSetVector<dim>::const_reference const ignore;
 
-  void gradient(SmallVector const &x, SmallVector &y) const {
+  void gradient(LocalVector const &x, LocalVector &y) const {
     A.mv(x, y);
     y -= b;
     phi->addGradient(x, y);
diff --git a/dune/tectonic/minimisation.hh b/dune/tectonic/minimisation.hh
index 09ec89de510364c6f1db0d868032223102366a4d..389a0a1498576f2e7fd97efd66954c4b0f31420c 100644
--- a/dune/tectonic/minimisation.hh
+++ b/dune/tectonic/minimisation.hh
@@ -13,10 +13,10 @@
 
 template <class Functional>
 void descentMinimisation(Functional const &J,
-                         typename Functional::SmallVector &x,
-                         typename Functional::SmallVector const &v,
+                         typename Functional::LocalVector &x,
+                         typename Functional::LocalVector const &v,
                          Bisection const &bisection) {
-  using SmallVector = typename Functional::SmallVector;
+  using LocalVector = typename Functional::LocalVector;
   using LocalNonlinearity = typename Functional::Nonlinearity;
 
   MyDirectionalConvexFunction<LocalNonlinearity> const JRest(
@@ -31,12 +31,12 @@ void descentMinimisation(Functional const &J,
 }
 
 template <class Functional>
-void minimise(Functional const &J, typename Functional::SmallVector &x,
+void minimise(Functional const &J, typename Functional::LocalVector &x,
               size_t steps, Bisection const &bisection) {
-  using SmallVector = typename Functional::SmallVector;
+  using LocalVector = typename Functional::LocalVector;
 
   for (size_t step = 0; step < steps; ++step) {
-    SmallVector v;
+    LocalVector v;
     J.gradient(x, v);
     if (v.two_norm() == 0.0)
       return;
diff --git a/src/explicitvectors.hh b/src/explicitvectors.hh
index 84ec9cf7f01dc621cb56dfaa14ebcdd967377a71..28271cc30f67fe7f72f5ab21bec123cd2c13b14d 100644
--- a/src/explicitvectors.hh
+++ b/src/explicitvectors.hh
@@ -3,8 +3,8 @@
 #include <dune/istl/bcrsmatrix.hh>
 #include <dune/istl/bvector.hh>
 
-using SmallVector = Dune::FieldVector<double, DIM>;
-using SmallMatrix = Dune::FieldMatrix<double, DIM, DIM>;
-using Vector = Dune::BlockVector<SmallVector>;
-using Matrix = Dune::BCRSMatrix<SmallMatrix>;
+using LocalVector = Dune::FieldVector<double, DIM>;
+using LocalMatrix = Dune::FieldMatrix<double, DIM, DIM>;
+using Vector = Dune::BlockVector<LocalVector>;
+using Matrix = Dune::BCRSMatrix<LocalMatrix>;
 using ScalarVector = Dune::BlockVector<Dune::FieldVector<double, 1>>;
diff --git a/src/one-body-sample.cc b/src/one-body-sample.cc
index bf5e5d3261bf604ea41a342d1f96a3c79b351274..388c7a6ac28d94c1ffc226848c2e0f3c0292be89 100644
--- a/src/one-body-sample.cc
+++ b/src/one-body-sample.cc
@@ -101,12 +101,12 @@ int main(int argc, char *argv[]) {
                                            parset);
     Dune::ParameterTreeParser::readOptions(argc, argv, parset);
 
-    using SmallVector = Dune::FieldVector<double, dims>;
-    using SmallMatrix = Dune::FieldMatrix<double, dims, dims>;
-    using SmallScalarMatrix = Dune::FieldMatrix<double, 1, 1>;
-    using Matrix = Dune::BCRSMatrix<SmallMatrix>;
-    using ScalarMatrix = Dune::BCRSMatrix<SmallScalarMatrix>;
-    using Vector = Dune::BlockVector<SmallVector>;
+    using LocalVector = Dune::FieldVector<double, dims>;
+    using LocalMatrix = Dune::FieldMatrix<double, dims, dims>;
+    using LocalScalarMatrix = Dune::FieldMatrix<double, 1, 1>;
+    using Matrix = Dune::BCRSMatrix<LocalMatrix>;
+    using ScalarMatrix = Dune::BCRSMatrix<LocalScalarMatrix>;
+    using Vector = Dune::BlockVector<LocalVector>;
     using ScalarVector = Dune::BlockVector<Dune::FieldVector<double, 1>>;
     using Nonlinearity = GlobalNonlinearity<Matrix, Vector>;
 
@@ -135,7 +135,7 @@ int main(int argc, char *argv[]) {
       grid = Dune::StructuredGridFactory<Grid>::createSimplexGrid(
           lowerLeft, upperRight, elements);
     }
-    SmallVector zenith(0);
+    LocalVector zenith(0);
     zenith[1] = 1;
 
     auto const refinements = parset.get<size_t>("grid.refinements");
@@ -266,9 +266,9 @@ int main(int argc, char *argv[]) {
 
     using LinearFactory = SolverFactory<
         dims, BlockNonlinearTNNMGProblem<ConvexProblem<
-                  ZeroNonlinearity<SmallVector, SmallMatrix>, Matrix>>,
+                  ZeroNonlinearity<LocalVector, LocalMatrix>, Matrix>>,
         Grid>;
-    ZeroNonlinearity<SmallVector, SmallMatrix> zeroNonlinearity;
+    ZeroNonlinearity<LocalVector, LocalMatrix> zeroNonlinearity;
 
     // TODO: clean up once generic lambdas arrive
     auto const solveLinearProblem = [&](
diff --git a/src/solverfactory_tmpl.cc b/src/solverfactory_tmpl.cc
index 0dc6e9dd7e0964f700ecf401406a99749ebd1578..d84065e3cc7c347d0e2f7924f5e56fc32d990027 100644
--- a/src/solverfactory_tmpl.cc
+++ b/src/solverfactory_tmpl.cc
@@ -18,5 +18,5 @@ template class SolverFactory<
     Grid>;
 template class SolverFactory<
     DIM, BlockNonlinearTNNMGProblem<
-             ConvexProblem<ZeroNonlinearity<SmallVector, SmallMatrix>, Matrix>>,
+             ConvexProblem<ZeroNonlinearity<LocalVector, LocalMatrix>, Matrix>>,
     Grid>;