663 citations · 919 across the 11 of their papers we have counts for
11 papers
Surface elevation errors in finite element Stokes models for glacier evolution
Ed Bueler
The primary data which determine the evolution of glaciation are the bedrock elevation and the surface mass balance. From this data, which we assume is defined over a fixed land re…
A full approximation scheme multilevel method for nonlinear variational inequalities
Ed Bueler, Patrick E. Farrell
We present the full approximation scheme constraint decomposition (FASCD) multilevel method for solving variational inequalities (VIs). FASCD is a common extension of both the full…
Performance analysis of high-resolution ice sheet simulations
Ed Bueler
Numerical ice sheet models compute evolving ice geometry and velocity fields using various stress-balance approximations and boundary conditions. At high spatial resolution, with h…
The full approximation storage multigrid scheme: A 1D finite element example
Ed Bueler
This note describes the full approximation storage (FAS) multigrid scheme for an easy one-dimensional nonlinear boundary value problem. The problem is discretized by a simple finit…
Conservation laws for free-boundary fluid layers
Ed Bueler
Time-dependent models of fluid motion in thin layers, subject to signed source terms, represent important sub-problems within climate dynamics. Examples include ice sheets, sea ice…
The shallow shelf approximation as a "sliding law" in a thermomechanically coupled ice sheet model
Ed Bueler, Jed Brown
The shallow shelf approximation is a better ``sliding law'' for ice sheet modeling than those sliding laws in which basal velocity is a function of driving stress. The shallow shel…
An exact solution to the temperature equation in a column of ice and bedrock
Ed Bueler
We construct a solution of a pure conduction problem in ice and bedrock. This solution is suitable for, and is used in this paper for, verifying a numerical scheme for conservation…
On exact solutions and numerics for cold, shallow, and thermocoupled ice sheets
Ed Bueler, Jed Brown
This three section report can be regarded as an extended appendix to (Bueler, Brown, and Lingle 2006). First we give the detailed construction of an exact solution to a standard co…
Computation of a combined spherical-elastic and viscous-half-space earth model for ice sheet simulation
Ed Bueler, Craig S. Lingle, Jed A. Kallen-Brown
This report starts by describing the continuum model used by Lingle & Clark (1985) to approximate the deformation of the earth under changing ice sheet and ocean loads. That source…
Chebyshev collocation for linear, periodic ordinary and delay differential equations: a posteriori estimates
Ed Bueler
We present a Chebyshev collocation method for linear ODE and DDE problems. We first give a posteriori estimates for the accuracy of the approximate solution of a scalar ODE initial…
Number operators for Riemannian manifolds
Ed Bueler
The Dirac operator d+delta on the Hodge complex of a Riemannian manifold is regarded as an annihilation operator A. On a weighted space L_mu^2 Omega, [A,A*] acts as multiplication…