A stabilized LOD multiscale method combined with novel post-processing achieves higher-order convergence rates for nondivergence-form elliptic equations under a generalized Cordes condition.
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A stable LOD construction in Raviart-Thomas spaces is introduced for mixed elliptic problems, providing coarse spaces with fine-scale information, rigorous error analysis, and avoidance of pollution terms from prior LOD versions.
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A post-processed higher-order multiscale method for nondivergence-form elliptic equations
A stabilized LOD multiscale method combined with novel post-processing achieves higher-order convergence rates for nondivergence-form elliptic equations under a generalized Cordes condition.
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Stable localized orthogonal decomposition in Raviart-Thomas spaces
A stable LOD construction in Raviart-Thomas spaces is introduced for mixed elliptic problems, providing coarse spaces with fine-scale information, rigorous error analysis, and avoidance of pollution terms from prior LOD versions.