Sparse finite element approximation of high-dimensional transport-dominated diffusion problems

We develop the analysis of stabilized sparse tensor-product finite element methods for high-dimensional, non-self-adjoint and possibly degenerate second-order partial differential equations of the form ΔΔu + b · Δu + cu = f(x), x ε ω = (0, 1)d ⊃ Rd, where a ε Rd×d where is a symmetric positive semid...

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Bibliographic Details
Main Authors: Schwab, C, Sueli, E, Todor, R
Format: Journal article
Language:English
Published: 2008