TY - JOUR
T1 - Compatible Finite Elements for Glacier Modeling
AU - Brinkerhoff, Douglas J.
N1 - Publisher Copyright:
Author
PY - 2023
Y1 - 2023
N2 - Described in this article is the first application of two mixed finite-element methods to the equations of glacier evolution under different simplifying assumptions, along with a framework for the implicit solution of the coupled velocity-thickness equations. The first method uses Raviartâ€Â"Thomas elements for velocity and piecewise constants for thickness and is a reframing of a classic staggered-grid finite-difference method to the case of unstructured triangular meshes. The second method uses Mardalâ€Â"Taiâ€Â"Winther elements for velocity and exhibits several desirable properties: second-order convergence of velocity and near-exact mass conservation while resolving both membrane and shear stresses in steep topography with thin ice.
AB - Described in this article is the first application of two mixed finite-element methods to the equations of glacier evolution under different simplifying assumptions, along with a framework for the implicit solution of the coupled velocity-thickness equations. The first method uses Raviartâ€Â"Thomas elements for velocity and piecewise constants for thickness and is a reframing of a classic staggered-grid finite-difference method to the case of unstructured triangular meshes. The second method uses Mardalâ€Â"Taiâ€Â"Winther elements for velocity and exhibits several desirable properties: second-order convergence of velocity and near-exact mass conservation while resolving both membrane and shear stresses in steep topography with thin ice.
UR - http://www.scopus.com/inward/record.url?scp=85168723841&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/2e53166a-e1dd-3294-813f-754f365a5ffc/
U2 - 10.1109/MCSE.2023.3305864
DO - 10.1109/MCSE.2023.3305864
M3 - Article
AN - SCOPUS:85168723841
SN - 1521-9615
VL - 25
SP - 18
EP - 28
JO - Computing in Science and Engineering
JF - Computing in Science and Engineering
IS - 3
ER -