diff --git a/CMakeLists.txt b/CMakeLists.txt
index 57221249d1f0390ae8ce809306ee1f4ba431be76..87fdee39aa6621d671f249224b8ed0e1fa58de93 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -14,7 +14,7 @@ find_package(PkgConfig REQUIRED)
 #------------------------------------------------------
 
 # custom variable allowing to define version suffixes such as -rc*, -beta*, ...
-set(PUGS_VERSION "0.4.1")
+set(PUGS_VERSION "0.5.0")
 
 # deduce PUGS_SHORT_VERSION using regex
 string(REGEX MATCH "^[0-9]+\.[0-9]+\.[0-9]+" PUGS_SHORT_VERSION ${PUGS_VERSION})
diff --git a/src/mesh/MeshFlatEdgeBoundary.cpp b/src/mesh/MeshFlatEdgeBoundary.cpp
index c20b9c1a5967fa511fdd4c9f99359696d7117cc2..7a2d4918d9c822303ba6debee91b5f4d707569c4 100644
--- a/src/mesh/MeshFlatEdgeBoundary.cpp
+++ b/src/mesh/MeshFlatEdgeBoundary.cpp
@@ -4,7 +4,7 @@
 #include <mesh/Mesh.hpp>
 #include <mesh/MeshFlatNodeBoundary.hpp>
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshFlatEdgeBoundary<MeshType>
 getMeshFlatEdgeBoundary(const MeshType& mesh, const IBoundaryDescriptor& boundary_descriptor)
 {
diff --git a/src/mesh/MeshFlatEdgeBoundary.hpp b/src/mesh/MeshFlatEdgeBoundary.hpp
index 10ab8edb835e8c7652665cae4b9db9cfe75c4418..70b51bc982222b7006b21e3a825cfeeab3fe6c93 100644
--- a/src/mesh/MeshFlatEdgeBoundary.hpp
+++ b/src/mesh/MeshFlatEdgeBoundary.hpp
@@ -24,7 +24,7 @@ class MeshFlatEdgeBoundary final : public MeshEdgeBoundary   // clazy:exclude=co
   MeshFlatEdgeBoundary& operator=(const MeshFlatEdgeBoundary&) = default;
   MeshFlatEdgeBoundary& operator=(MeshFlatEdgeBoundary&&)      = default;
 
-  template <MeshConcept MeshTypeT>
+  template <typename MeshTypeT>
   friend MeshFlatEdgeBoundary<MeshTypeT> getMeshFlatEdgeBoundary(const MeshTypeT& mesh,
                                                                  const IBoundaryDescriptor& boundary_descriptor);
 
@@ -40,7 +40,7 @@ class MeshFlatEdgeBoundary final : public MeshEdgeBoundary   // clazy:exclude=co
   ~MeshFlatEdgeBoundary()                           = default;
 };
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshFlatEdgeBoundary<MeshType> getMeshFlatEdgeBoundary(const MeshType& mesh,
                                                        const IBoundaryDescriptor& boundary_descriptor);
 
diff --git a/src/mesh/MeshFlatFaceBoundary.cpp b/src/mesh/MeshFlatFaceBoundary.cpp
index 632c6a033dee7fc5593363660cc179faa966fb80..2ecdf6768eb865413386b10a1a419c6e30799def 100644
--- a/src/mesh/MeshFlatFaceBoundary.cpp
+++ b/src/mesh/MeshFlatFaceBoundary.cpp
@@ -4,7 +4,7 @@
 #include <mesh/Mesh.hpp>
 #include <mesh/MeshFlatNodeBoundary.hpp>
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshFlatFaceBoundary<MeshType>
 getMeshFlatFaceBoundary(const MeshType& mesh, const IBoundaryDescriptor& boundary_descriptor)
 {
diff --git a/src/mesh/MeshFlatFaceBoundary.hpp b/src/mesh/MeshFlatFaceBoundary.hpp
index 0c53a31e095251c6ffaa70b7f6d58bfce10a6864..fc4d9d0f82b15a0d02dea4efdff3a13a6cceeb7a 100644
--- a/src/mesh/MeshFlatFaceBoundary.hpp
+++ b/src/mesh/MeshFlatFaceBoundary.hpp
@@ -24,7 +24,7 @@ class MeshFlatFaceBoundary final : public MeshFaceBoundary   // clazy:exclude=co
   MeshFlatFaceBoundary& operator=(const MeshFlatFaceBoundary&) = default;
   MeshFlatFaceBoundary& operator=(MeshFlatFaceBoundary&&)      = default;
 
-  template <MeshConcept MeshTypeT>
+  template <typename MeshTypeT>
   friend MeshFlatFaceBoundary<MeshTypeT> getMeshFlatFaceBoundary(const MeshTypeT& mesh,
                                                                  const IBoundaryDescriptor& boundary_descriptor);
 
@@ -40,7 +40,7 @@ class MeshFlatFaceBoundary final : public MeshFaceBoundary   // clazy:exclude=co
   ~MeshFlatFaceBoundary()                           = default;
 };
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshFlatFaceBoundary<MeshType> getMeshFlatFaceBoundary(const MeshType& mesh,
                                                        const IBoundaryDescriptor& boundary_descriptor);
 
diff --git a/src/mesh/MeshFlatNodeBoundary.cpp b/src/mesh/MeshFlatNodeBoundary.cpp
index bdc7c20a2c854c2a9a6492d8f06f46a026b38b0b..c3ca1dbd4ce980e6290b99af8a7bca878ca4520f 100644
--- a/src/mesh/MeshFlatNodeBoundary.cpp
+++ b/src/mesh/MeshFlatNodeBoundary.cpp
@@ -323,7 +323,7 @@ MeshFlatNodeBoundary<Mesh<3>>::_getOutgoingNormal(const Mesh<3>& mesh)
   }
 }
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshFlatNodeBoundary<MeshType>
 getMeshFlatNodeBoundary(const MeshType& mesh, const IBoundaryDescriptor& boundary_descriptor)
 {
diff --git a/src/mesh/MeshFlatNodeBoundary.hpp b/src/mesh/MeshFlatNodeBoundary.hpp
index 2eb28d14899a1d70f47f8cd139b435c4a81390b7..66c610ea72a3aed5e6876516890c0d168bc9aac4 100644
--- a/src/mesh/MeshFlatNodeBoundary.hpp
+++ b/src/mesh/MeshFlatNodeBoundary.hpp
@@ -20,21 +20,23 @@ class [[nodiscard]] MeshFlatNodeBoundary final : public MeshNodeBoundary   // cl
   Rd _getNormal(const MeshType& mesh);
 
   void _checkBoundaryIsFlat(const TinyVector<MeshType::Dimension, double>& normal,
-                            const TinyVector<MeshType::Dimension, double>& origin, const double length,
+                            const TinyVector<MeshType::Dimension, double>& origin,
+                            const double length,
                             const MeshType& mesh) const;
 
   Rd _getOutgoingNormal(const MeshType& mesh);
 
  public:
-  const Rd& outgoingNormal() const
+  const Rd&
+  outgoingNormal() const
   {
     return m_outgoing_normal;
   }
 
   MeshFlatNodeBoundary& operator=(const MeshFlatNodeBoundary&) = default;
-  MeshFlatNodeBoundary& operator=(MeshFlatNodeBoundary&&) = default;
+  MeshFlatNodeBoundary& operator=(MeshFlatNodeBoundary&&)      = default;
 
-  template <MeshConcept MeshTypeT>
+  template <typename MeshTypeT>
   friend MeshFlatNodeBoundary<MeshTypeT> getMeshFlatNodeBoundary(const MeshTypeT& mesh,
                                                                  const IBoundaryDescriptor& boundary_descriptor);
 
@@ -50,11 +52,11 @@ class [[nodiscard]] MeshFlatNodeBoundary final : public MeshNodeBoundary   // cl
  public:
   MeshFlatNodeBoundary()                            = default;
   MeshFlatNodeBoundary(const MeshFlatNodeBoundary&) = default;
-  MeshFlatNodeBoundary(MeshFlatNodeBoundary &&)     = default;
+  MeshFlatNodeBoundary(MeshFlatNodeBoundary&&)      = default;
   ~MeshFlatNodeBoundary()                           = default;
 };
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshFlatNodeBoundary<MeshType> getMeshFlatNodeBoundary(const MeshType& mesh,
                                                        const IBoundaryDescriptor& boundary_descriptor);
 
diff --git a/src/mesh/MeshLineEdgeBoundary.cpp b/src/mesh/MeshLineEdgeBoundary.cpp
index 40de23d1e2dc86bbd82b8542b75e32d1cac40352..f1e0333a9afd8a642f3809560f0c16431e98e1e4 100644
--- a/src/mesh/MeshLineEdgeBoundary.cpp
+++ b/src/mesh/MeshLineEdgeBoundary.cpp
@@ -5,7 +5,7 @@
 #include <mesh/MeshLineNodeBoundary.hpp>
 #include <utils/Messenger.hpp>
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshLineEdgeBoundary<MeshType>
 getMeshLineEdgeBoundary(const MeshType& mesh, const IBoundaryDescriptor& boundary_descriptor)
 {
diff --git a/src/mesh/MeshLineEdgeBoundary.hpp b/src/mesh/MeshLineEdgeBoundary.hpp
index 0fc5db0ba6b73960cd1a64c5a0626585c857a4b8..11994eefa1d84580d6c21b58a4d5332ba8479431 100644
--- a/src/mesh/MeshLineEdgeBoundary.hpp
+++ b/src/mesh/MeshLineEdgeBoundary.hpp
@@ -18,7 +18,7 @@ class [[nodiscard]] MeshLineEdgeBoundary final : public MeshEdgeBoundary   // cl
   const Rd m_direction;
 
  public:
-  template <MeshConcept MeshTypeT>
+  template <typename MeshTypeT>
   friend MeshLineEdgeBoundary<MeshTypeT> getMeshLineEdgeBoundary(const MeshTypeT& mesh,
                                                                  const IBoundaryDescriptor& boundary_descriptor);
 
@@ -44,7 +44,7 @@ class [[nodiscard]] MeshLineEdgeBoundary final : public MeshEdgeBoundary   // cl
   ~MeshLineEdgeBoundary()                           = default;
 };
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshLineEdgeBoundary<MeshType> getMeshLineEdgeBoundary(const MeshType& mesh,
                                                        const IBoundaryDescriptor& boundary_descriptor);
 
diff --git a/src/mesh/MeshLineFaceBoundary.cpp b/src/mesh/MeshLineFaceBoundary.cpp
index 3608e7aef37dfeddf9eb2c6ad7d207d1acae3f07..81ea991ed6dcf999e3144a9b4d9d48f080a1499e 100644
--- a/src/mesh/MeshLineFaceBoundary.cpp
+++ b/src/mesh/MeshLineFaceBoundary.cpp
@@ -5,7 +5,7 @@
 #include <mesh/MeshLineNodeBoundary.hpp>
 #include <utils/Messenger.hpp>
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshLineFaceBoundary<MeshType>
 getMeshLineFaceBoundary(const MeshType& mesh, const IBoundaryDescriptor& boundary_descriptor)
 {
diff --git a/src/mesh/MeshLineFaceBoundary.hpp b/src/mesh/MeshLineFaceBoundary.hpp
index 206961a08f88f9a4008a14a7a223b9d90ff323ed..5b993923c2836500f46ebbc112ef234c05c67f94 100644
--- a/src/mesh/MeshLineFaceBoundary.hpp
+++ b/src/mesh/MeshLineFaceBoundary.hpp
@@ -17,7 +17,7 @@ class [[nodiscard]] MeshLineFaceBoundary final : public MeshFaceBoundary   // cl
   const Rd m_direction;
 
  public:
-  template <MeshConcept MeshTypeT>
+  template <typename MeshTypeT>
   friend MeshLineFaceBoundary<MeshTypeT> getMeshLineFaceBoundary(const MeshTypeT& mesh,
                                                                  const IBoundaryDescriptor& boundary_descriptor);
 
@@ -43,7 +43,7 @@ class [[nodiscard]] MeshLineFaceBoundary final : public MeshFaceBoundary   // cl
   ~MeshLineFaceBoundary()                           = default;
 };
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshLineFaceBoundary<MeshType> getMeshLineFaceBoundary(const MeshType& mesh,
                                                        const IBoundaryDescriptor& boundary_descriptor);
 
diff --git a/src/mesh/MeshLineNodeBoundary.cpp b/src/mesh/MeshLineNodeBoundary.cpp
index 1cd3bb64d749d49de82d925bff9eaa3ecf88ead9..7ec8bb898aa7af4a8d747e516f0438b1792edb67 100644
--- a/src/mesh/MeshLineNodeBoundary.cpp
+++ b/src/mesh/MeshLineNodeBoundary.cpp
@@ -105,7 +105,7 @@ MeshLineNodeBoundary<Mesh<3>>::_getDirection(const Mesh<3>& mesh)
   return direction;
 }
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshLineNodeBoundary<MeshType>
 getMeshLineNodeBoundary(const MeshType& mesh, const IBoundaryDescriptor& boundary_descriptor)
 {
diff --git a/src/mesh/MeshLineNodeBoundary.hpp b/src/mesh/MeshLineNodeBoundary.hpp
index fb75ef9a49d77095c47d1a45db42e636b905c572..95cbab34cfbb35190fe23f607bdbcd46698f4023 100644
--- a/src/mesh/MeshLineNodeBoundary.hpp
+++ b/src/mesh/MeshLineNodeBoundary.hpp
@@ -24,7 +24,7 @@ class [[nodiscard]] MeshLineNodeBoundary final : public MeshNodeBoundary   // cl
                             const MeshType& mesh) const;
 
  public:
-  template <MeshConcept MeshTypeT>
+  template <typename MeshTypeT>
   friend MeshLineNodeBoundary<MeshTypeT> getMeshLineNodeBoundary(const MeshTypeT& mesh,
                                                                  const IBoundaryDescriptor& boundary_descriptor);
 
@@ -58,7 +58,7 @@ class [[nodiscard]] MeshLineNodeBoundary final : public MeshNodeBoundary   // cl
   ~MeshLineNodeBoundary()                           = default;
 };
 
-template <MeshConcept MeshType>
+template <typename MeshType>
 MeshLineNodeBoundary<MeshType> getMeshLineNodeBoundary(const MeshType& mesh,
                                                        const IBoundaryDescriptor& boundary_descriptor);
 
diff --git a/src/scheme/AcousticSolver.cpp b/src/scheme/AcousticSolver.cpp
index 90998d3aba2e9ecf0a9b5c4e8961c7b87889eaa5..e4db63bd7ec57502c08a1e3f212386ebe8215859 100644
--- a/src/scheme/AcousticSolver.cpp
+++ b/src/scheme/AcousticSolver.cpp
@@ -371,8 +371,8 @@ class AcousticSolverHandler::AcousticSolver final : public AcousticSolverHandler
                  const std::shared_ptr<const DiscreteFunctionVariant>& p_v,
                  const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list) const
   {
-    std::shared_ptr i_mesh = getCommonMesh({rho_v, c_v, u_v, p_v});
-    if (not i_mesh) {
+    std::shared_ptr mesh_v = getCommonMesh({rho_v, c_v, u_v, p_v});
+    if (not mesh_v) {
       throw NormalError("discrete functions are not defined on the same mesh");
     }
 
@@ -380,7 +380,7 @@ class AcousticSolverHandler::AcousticSolver final : public AcousticSolverHandler
       throw NormalError("acoustic solver expects P0 functions");
     }
 
-    const MeshType& mesh              = *i_mesh->get<MeshType>();
+    const MeshType& mesh              = *mesh_v->get<MeshType>();
     const DiscreteScalarFunction& rho = rho_v->get<DiscreteScalarFunction>();
     const DiscreteScalarFunction& c   = c_v->get<DiscreteScalarFunction>();
     const DiscreteVectorFunction& u   = u_v->get<DiscreteVectorFunction>();
@@ -474,8 +474,8 @@ class AcousticSolverHandler::AcousticSolver final : public AcousticSolverHandler
                const std::shared_ptr<const ItemValueVariant>& ur,
                const std::shared_ptr<const SubItemValuePerItemVariant>& Fjr) const
   {
-    std::shared_ptr i_mesh = getCommonMesh({rho_v, u_v, E_v});
-    if (not i_mesh) {
+    std::shared_ptr mesh_v = getCommonMesh({rho_v, u_v, E_v});
+    if (not mesh_v) {
       throw NormalError("discrete functions are not defined on the same mesh");
     }
 
@@ -484,7 +484,7 @@ class AcousticSolverHandler::AcousticSolver final : public AcousticSolverHandler
     }
 
     return this->apply_fluxes(dt,                                     //
-                              *i_mesh->get<MeshType>(),               //
+                              *mesh_v->get<MeshType>(),               //
                               rho_v->get<DiscreteScalarFunction>(),   //
                               u_v->get<DiscreteVectorFunction>(),     //
                               E_v->get<DiscreteScalarFunction>(),     //
@@ -863,9 +863,9 @@ class AcousticSolverHandler::AcousticSolver<MeshType>::SymmetryBoundaryCondition
   ~SymmetryBoundaryCondition() = default;
 };
 
-AcousticSolverHandler::AcousticSolverHandler(const std::shared_ptr<const MeshVariant>& i_mesh)
+AcousticSolverHandler::AcousticSolverHandler(const std::shared_ptr<const MeshVariant>& mesh_v)
 {
-  if (not i_mesh) {
+  if (not mesh_v) {
     throw NormalError("discrete functions are not defined on the same mesh");
   }
 
@@ -878,5 +878,5 @@ AcousticSolverHandler::AcousticSolverHandler(const std::shared_ptr<const MeshVar
         throw NormalError("unexpected mesh type");
       }
     },
-    i_mesh->variant());
+    mesh_v->variant());
 }
diff --git a/src/scheme/HyperelasticSolver.cpp b/src/scheme/HyperelasticSolver.cpp
index d88067f982e244a53cb6f87d062e404392188a69..7bc6cd8c0dc854ecaa8caa2d8809891ed328790d 100644
--- a/src/scheme/HyperelasticSolver.cpp
+++ b/src/scheme/HyperelasticSolver.cpp
@@ -388,8 +388,8 @@ class HyperelasticSolverHandler::HyperelasticSolver final : public HyperelasticS
                  const std::shared_ptr<const DiscreteFunctionVariant>& sigma_v,
                  const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list) const
   {
-    std::shared_ptr i_mesh = getCommonMesh({rho_v, aL_v, aT_v, u_v, sigma_v});
-    if (not i_mesh) {
+    std::shared_ptr mesh_v = getCommonMesh({rho_v, aL_v, aT_v, u_v, sigma_v});
+    if (not mesh_v) {
       throw NormalError("discrete functions are not defined on the same mesh");
     }
 
@@ -397,7 +397,7 @@ class HyperelasticSolverHandler::HyperelasticSolver final : public HyperelasticS
       throw NormalError("hyperelastic solver expects P0 functions");
     }
 
-    const MeshType& mesh                = *i_mesh->get<MeshType>();
+    const MeshType& mesh                = *mesh_v->get<MeshType>();
     const DiscreteScalarFunction& rho   = rho_v->get<DiscreteScalarFunction>();
     const DiscreteVectorFunction& u     = u_v->get<DiscreteVectorFunction>();
     const DiscreteScalarFunction& aL    = aL_v->get<DiscreteScalarFunction>();
@@ -505,8 +505,8 @@ class HyperelasticSolverHandler::HyperelasticSolver final : public HyperelasticS
                const std::shared_ptr<const ItemValueVariant>& ur,
                const std::shared_ptr<const SubItemValuePerItemVariant>& Fjr) const
   {
-    std::shared_ptr i_mesh = getCommonMesh({rho, u, E});
-    if (not i_mesh) {
+    std::shared_ptr mesh_v = getCommonMesh({rho, u, E});
+    if (not mesh_v) {
       throw NormalError("discrete functions are not defined on the same mesh");
     }
 
@@ -515,7 +515,7 @@ class HyperelasticSolverHandler::HyperelasticSolver final : public HyperelasticS
     }
 
     return this->apply_fluxes(dt,                                   //
-                              *i_mesh->get<MeshType>(),             //
+                              *mesh_v->get<MeshType>(),             //
                               rho->get<DiscreteScalarFunction>(),   //
                               u->get<DiscreteVectorFunction>(),     //
                               E->get<DiscreteScalarFunction>(),     //
@@ -939,9 +939,9 @@ class HyperelasticSolverHandler::HyperelasticSolver<MeshType>::SymmetryBoundaryC
   ~SymmetryBoundaryCondition() = default;
 };
 
-HyperelasticSolverHandler::HyperelasticSolverHandler(const std::shared_ptr<const MeshVariant>& i_mesh)
+HyperelasticSolverHandler::HyperelasticSolverHandler(const std::shared_ptr<const MeshVariant>& mesh_v)
 {
-  if (not i_mesh) {
+  if (not mesh_v) {
     throw NormalError("discrete functions are not defined on the same mesh");
   }
 
@@ -954,5 +954,5 @@ HyperelasticSolverHandler::HyperelasticSolverHandler(const std::shared_ptr<const
         throw NormalError("unexpected mesh type");
       }
     },
-    i_mesh->variant());
+    mesh_v->variant());
 }