Committees Scientific Committee Organizing Committee Plenary Speakers Schedule Schedule Schedule Xylar Asay-davis Schedule Room: Cbc C116 Mini-symposium 4 Advances in Analytical and Computational Techniques for Nonlinear Waves Organizer: Room: Cbc C118 Mini-symposium 9 Uncertainty Quantification for

11:00 AM – 11:30 AM Generalized image charge solvation model for electrostatic interactions in molecular dynamics simulations of aqueous solutions (p. 70) 3:30 PM – 4:00 PM Dirichlet/Robin iteration-by-subdomain Schwarz-DDM for mul-tiphase fuel cell model with micro-porous layer (p. 60) 12:00 PM – 12:30 PM A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media (p. 62) A numerical method for solving 3D elastic wave equation in anisotropic heterogeneous medium (p. 42) 9:30 AM – 10:00 AM BISICLES – progress on a higher-order adaptive mesh refinement ice-sheet model (p. 47) 10:00 AM – 10:30 AM A simple approach to modeling multi-physics coupled models, application to large-scale ice sheet models (p. 47) 9:30 AM – 10:00 AM Cell conservative flux recovery and a posteriori error estimate of high order finite volume methods (p. 60) 11:00 AM – 11:30 AM A method for simulating dynamic ice shelves in global ocean models (p. 48) 12:00 PM – 12:30 PM A geometrical multigrid method for shallow ice models based on an energy minimization approach (p. 49) 3:00 PM – 3:30 PM Advanced ice sheet modeling: scalable parallel adaptive full Stokes solver and inversion for basal slipperiness and rheologi-cal parameters (p. 49) 3:30 PM – 4:00 PM Scalable and composable implicit solvers for polythermal ice flow with steep topography (p. 50) 10:00 AM – 10:30 AM Toward a robust hp-adaptive method for elliptic eigenvalue problems (p. 59) A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics(p. 75) Abstract. We consider a second order elliptic problem with a heterogeneous coefficient written in mixed form. Multiscale approximation methods for these problems can be viewed in one of three equivalent frameworks: as a Galerkin or finite element method with nonpolyno-mial basis functions, as a variational multiscale method with standard finite elements, or as a domain decomposition method with restricted degrees of freedom on the interfaces. Each is valuable for devising effective local multiscale methods. Taking a nonoverlapping domain decomposition view, we define a new multiscale mortar space that incorporates information from homogenization theory to better approximate the solution along the interfaces with just a few degrees of freedom. In the case of a locally periodic heterogeneous coefficient of period , the new method achieves both optimal order error estimates in the discretization parameters and convergence when is small, with no numerical resonance, despite the fact that our …