We use notwithstanding to express contrast opinions. It has a meaning similar to although, however has a wider usage.
Use Of Notwithstanding
Notwithstanding has a wide variety of usages.
It is a subordinating conjunction similar to "although, though, even though..." followed by a clause.
Notwithstanding he is rich, he never takes a holiday.
I recognized you quickly notwithstanding I hadn't seen you for a long time.
(You can substitute "notwithstanding" with "although, though, even though".)
It is a transition similar to "but, however, nonetheless, yet..." and it can also be used between two sentences.
I did my best to be approved by the University, notwithstanding, I was refused.
It got dark before we reached the summit of the mountain, notwithstanding, we went on climbing.
(You can substitute "notwithstanding" with "but, however, nonetheless, yet...".)
It is a prepositional phrase similar to "despite, In spite of..."
Notwithstanding my endeavor to finish my assignment on time, I couldn't manage it.
Notwithstanding the heavy traffic, we arrived our destination on time.
(You can substitute "notwithstanding" with "despite, In spite of...".)