Extends localized subspace iteration to parabolic multiscale PDEs with offline basis construction and explicit-implicit temporal splitting to achieve stable, accurate long-term simulations.
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Localized subspace iteration (LSI) methods, including LSSI and LKSI variants, are introduced to construct multiscale finite element bases via local operator localization and subspace iteration on spectral problems, supported by convergence analysis and numerical tests showing advantages in long-ch
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Decoupling scales via localized subspace iteration and temporal splitting for multiscale parabolic equations
Extends localized subspace iteration to parabolic multiscale PDEs with offline basis construction and explicit-implicit temporal splitting to achieve stable, accurate long-term simulations.
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Localized subspace iteration methods for elliptic multiscale problems
Localized subspace iteration (LSI) methods, including LSSI and LKSI variants, are introduced to construct multiscale finite element bases via local operator localization and subspace iteration on spectral problems, supported by convergence analysis and numerical tests showing advantages in long-ch