On a BPX-preconditioner for P1 elements
Copyright policy )On a BPX-preconditioner for P1 elements
An optimal multilevel preconditioner for nonconforming P1 elements discretizations of second order elliptic boundary value problems is derived. The resulting condition numbers are uniformly bounded with respect to the number of levels \(j\) which is known for the conforming case, and improve the previous results for nonconforming P1 elements.
Iterative numerical methods for linear systems, second order elliptic boundary value problems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, nonconforming P1 elements, Boundary value problems for second-order elliptic equations, optimal multilevel preconditioner, Numerical computation of matrix norms, conditioning, scaling, condition numbers, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
Iterative numerical methods for linear systems, second order elliptic boundary value problems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, nonconforming P1 elements, Boundary value problems for second-order elliptic equations, optimal multilevel preconditioner, Numerical computation of matrix norms, conditioning, scaling, condition numbers, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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