@Article{CiCP-16-4,
author = {},
title = {A Second Order Finite-Difference Ghost-Point Method for Elasticity Problems on Unbounded Domains with Applications to Volcanology},
journal = {Communications in Computational Physics},
year = {2014},
volume = {16},
number = {4},
pages = {983--1009},
abstract = {<p style="text-align: justify;">We propose a finite-difference ghost-point approach for the numerical solution of Cauchy-Navier equations in linear elasticity problems on arbitrary unbounded
domains. The technique is based on a smooth coordinate transformation, which maps
an unbounded domain into a unit square. Arbitrary geometries are defined by suitable level-set functions. The equations are discretized by classical nine-point stencil on
interior points, while boundary conditions and high order reconstructions are used to
define the field variables at ghost-points, which are grid nodes external to the domain
with a neighbor inside the domain. The linear system arising from such discretization
is solved by a multigrid strategy. The approach is then applied to solve elasticity problems in volcanology for computing the displacement caused by pressure sources. The
method is suitable to treat problems in which the geometry of the source often changes
(explore the effects of different scenarios, or solve inverse problems in which the geometry itself is part of the unknown), since it does not require complex re-meshing
when the geometry is modified. Several numerical tests are successfully performed,
which asses the effectiveness of the present approach.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.210713.010414a},
url = {https://global-sci.com/article/80465/a-second-order-finite-difference-ghost-point-method-for-elasticity-problems-on-unbounded-domains-with-applications-to-volcanology}
}