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Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast
Abstract We present a new approach to the numerical upscaling for elliptic problems with rough diffusion coefficient at high contrast. It is based on the localizable orthogonal decomposition of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>H</m:mi> <m:mn>1</m:mn> </m:msup> </m:math> ${H^{1}}$ into the image and the kernel of some novel stable quasi-interpolation operators with …