Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...
We propose an adaptive finite element method for linear elliptic problems based on an optimal maximum norm error estimate. The algorithm produces a sequence of ...
SIAM Journal on Numerical Analysis, Vol. 53, No. 1 (2015), pp. 43-62 (20 pages) The first-order div least squares finite element methods (LSFEMs) allow for an ...
Abstract: A key consideration in the design of supersonic aircraft is reducing the effects of sonic boom. In the past 15 years, significant progress has led to the demonstration of geometric shaping ...
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