67 citations · 88 across the 20 of their papers we have counts for
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Goal-oriented adaptivity for GMsFEM
Eric T. Chung, Wing Tat Leung, Sara Pollock
In this paper we develop two goal-oriented adaptive strategies for a posteriori error estimation within the generalized multiscale finite element framework. In this methodology, on…
Stabilized and inexact adaptive methods for capturing internal layers in quasilinear PDE
Sara Pollock
A method is developed within an adaptive framework to solve quasilinear diffusion problems with internal and possibly boundary layers starting from a coarse mesh. The solution proc…
An improved method for solving quasilinear convection diffusion problems on a coarse mesh
Sara Pollock
A method is developed for solving quasilinear convection diffusion problems starting on a coarse mesh where the data and solution-dependent coefficients are unresolved, the problem…
A regularized Newton-like method for nonlinear PDE
Sara Pollock
An adaptive regularization strategy for stabilizing Newton-like iterations on a coarse mesh is developed in the context of adaptive finite element methods for nonlinear PDE. Existe…