document: Non-nested multi-level solvers for finite element discretisations of mixed problems We consider a general framework for analysing the convergence of multi-grid solvers applied to finite element discretisations of mixed problems , both of conforming and nonconforming type . As a basic new feature . our approach allows to use different finite element discretisations on each level of the multi-grid hierarchy . Thus , in our multi-level approach , accurate higher order finite element discretisations can be combined with fast multi-level solvers based on lower order -LRB- nonconforming -RRB- finite element discretisations . This leads to the design of efficient multi-level solvers for higher order finite element discretisations
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