Metric-driven Riemannian gradient methods recover Localized Orthogonal Decomposition spaces from a new perspective and are demonstrated on ground-state computations for spin-orbit-coupled Bose-Einstein condensates.
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2025 2verdicts
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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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Metric-driven numerical methods
Metric-driven Riemannian gradient methods recover Localized Orthogonal Decomposition spaces from a new perspective and are demonstrated on ground-state computations for spin-orbit-coupled Bose-Einstein condensates.
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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.