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math.NA2013★ 5 cited
An adaptive finite element method for the infinity Laplacian
Omar Lakkis, Tristan Pryer
We construct a finite element method (FEM) for the infinity Laplacian. Solutions of this problem may be singular, which has prompted us to conduct an a posteriori analysis of the m…
math.NA2013
Adaptive finite elements for semilinear reaction-diffusion systems on growing domains
Chandrasekhar Venkataraman, Omar Lakkis, Anotida Madzvamuse
We propose an adaptive finite element method to approximate the solutions to reaction-diffusion systems on time-dependent domains and surfaces. We derive a computable error estimat…