RT Journal Article
T1 A multigrid algorithm for the p-Laplacian
A1 Infante Del Río, Juan Antonio
A1 Bermejo, R.
AB We introduce a full approximation storage (FAS) multigrid algorithm to find the finite element solution for a class of nonlinear monotone elliptic problems. Since the solution of the problem is equivalent to minimize a strictly convex functional, we use a Polak-Ribiere conjugate gradient method as the nonlinear smoother in our algorithm. The advantage in so doing is that we do not have to calculate derivatives of operators. We prove local convergence of our algorithm and illustrate its performance by solving benchmark problems.
PB Society for Industrial and Applied Mathematics
SN 1064-8275
YR 2000
FD 2000-05
LK https://hdl.handle.net/20.500.14352/58806
UL https://hdl.handle.net/20.500.14352/58806
DS Docta Complutense
RD 2 may 2024