RT Journal Article
T1 A Finite Difference Method for the Variational p-Laplacian
A1 Del Teso Méndez, Félix
A1 Lindgren, Erik
AB We propose a new monotone finite difference discretization for the variational p-Laplace operator, pu = div(|∇u|p−2∇u), and present a convergent numerical scheme for related Dirichlet problems. The resulting nonlinear system is solved using two different methods: one based on Newton-Raphson and one explicit method. Finally, we exhibit some numerical simulations supporting our theoretical results. To the best of our knowledge, this is the first monotone finite difference discretization of the variational p-Laplacian and also the first time that nonhomogeneous problems for this operator can be treated numerically with a finite difference scheme.
PB Springer
SN 0885-7474
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/71302
UL https://hdl.handle.net/20.500.14352/71302
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2021)
NO Ministerio de Ciencia e Innovación (MICINN)
NO Swedish Research Council
DS Docta Complutense
RD 6 abr 2025