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Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value Problems

Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value Problems,Ronald H. w. Hoppe,Barbara Wohlmuth

Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value Problems   (Citations: 16)
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We consider mixed finite element discretizations of linear secondorder elliptic boundary value problems with respect to an adaptivelygenerated hierarchy of possibly highly nonuniform simplicial triangulations.By a well known postprocessing technique the discrete problem isequivalent to a modified nonconforming discretization which is solved bypreconditioned cg-iterations using a multilevel BPX-type preconditionerdesigned for standard nonconforming approximations. Local refinementof the...
Published in 1994.
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