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math.NA2016★ 17 cited
Convergence of Discrete Exterior Calculus Approximations for Poisson Problems
Erick Schulz, Gantumur Tsogtgerel
Discrete exterior calculus (DEC) is a framework for constructing discrete versions of exterior differential calculus objects, and is widely used in computer graphics, computational…
math.NA2010★ 18 cited
Local Convergence of Adaptive Methods for Nonlinear Partial Differential Equations
Michael Holst, Gantumur Tsogtgerel, Yunrong Zhu
In this article we develop convergence theory for a general class of adaptive approximation algorithms for abstract nonlinear operator equations on Banach spaces, and use the theor…