diff --git a/include/alpaka/exec/IndependentElements.hpp b/include/alpaka/exec/IndependentElements.hpp
index 3af342bf249..cd489b2a4cf 100644
--- a/include/alpaka/exec/IndependentElements.hpp
+++ b/include/alpaka/exec/IndependentElements.hpp
@@ -146,9 +146,9 @@ namespace alpaka
             };
 
         private:
-            const Idx first_;
-            const Idx stride_;
-            const Idx extent_;
+            Idx const first_;
+            Idx const stride_;
+            Idx const extent_;
         };
 
     } // namespace detail
@@ -311,11 +311,12 @@ namespace alpaka
 
                 ALPAKA_FN_ACC inline const_iterator(Idx elements, Idx stride, Idx extent, Idx first)
                     : elements_{elements}
-                    , stride_{stride}
+                    ,
+                    // we need to reduce the stride by on element range because index_ is later increased with each
+                    // increment
+                    stride_{stride - elements}
                     , extent_{extent}
-                    , first_{std::min(first, extent)}
-                    , index_{first_}
-                    , range_{std::min(first + elements, extent)}
+                    , index_{std::min(first, extent)}
                 {
                 }
 
@@ -328,22 +329,16 @@ namespace alpaka
                 // pre-increment the iterator
                 ALPAKA_FN_ACC inline const_iterator& operator++()
                 {
-                    // increment the index along the elements processed by the current thread
+                    ++indexElem_;
                     ++index_;
-                    if(index_ < range_)
-                        return *this;
-
-                    // increment the thread index with the block stride
-                    first_ += stride_;
-                    index_ = first_;
-                    range_ = std::min(first_ + elements_, extent_);
-                    if(index_ < extent_)
-                        return *this;
+                    if(indexElem_ >= elements_)
+                    {
+                        indexElem_ = Idx{0};
+                        index_ += stride_;
+                    }
+                    if(index_ >= extent_)
+                        index_ = extent_;
 
-                    // the iterator has reached or passed the end of the extent, clamp it to the extent
-                    first_ = extent_;
-                    index_ = extent_;
-                    range_ = extent_;
                     return *this;
                 }
 
@@ -357,7 +352,7 @@ namespace alpaka
 
                 ALPAKA_FN_ACC inline bool operator==(const_iterator const& other) const
                 {
-                    return (index_ == other.index_) and (first_ == other.first_);
+                    return (*(*this) == *other);
                 }
 
                 ALPAKA_FN_ACC inline bool operator!=(const_iterator const& other) const
@@ -371,16 +366,15 @@ namespace alpaka
                 Idx stride_;
                 Idx extent_;
                 // modified by the pre/post-increment operator
-                Idx first_;
                 Idx index_;
-                Idx range_;
+                Idx indexElem_ = {0};
             };
 
         private:
-            const Idx elements_;
-            const Idx thread_;
-            const Idx stride_;
-            const Idx extent_;
+            Idx const elements_;
+            Idx const thread_;
+            Idx const stride_;
+            Idx const extent_;
         };
 
     } // namespace detail