Stabilization by multiscale decomposition

DOI10.1016/S0893-9659(98)00114-1zbMath0940.65060OpenAlexW2002873284WikidataQ127012793 ScholiaQ127012793MaRDI QIDQ1808596

Silvia Bertoluzza

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00114-1

zbMATH Keywords

Galerkin methodstabilizationHilbert spaceelliptic equationStokes equationmultiscale decompositionnoncoercive problembiorthogonal wavelet bases

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (7)

EFFICIENT DESIGN OF RESIDUAL-BASED STABILIZATION TECHNIQUES FOR THE THREE FIELDS DOMAIN DECOMPOSITION METHOD ⋮ Stabilized wavelet approximations of the Stokes problem ⋮ A polygonal discontinuous Galerkin method with minus one stabilization ⋮ Stabilization by multiscale decomposition ⋮ Negative norm stabilization of convection-diffusion problems ⋮ Multilevel stabilization devices in CFD ⋮ Algebraic representation of dual scalar products and stabilization of saddle point problems

Cites Work

• Numerical computation of wavelet expansion: \(W^{s,p}\) error estimate
• Stability of multiscale transformations
• Wavelet stabilization of the Lagrange multiplier method
• Stabilization by multiscale decomposition
• A least-squares approach based on a discrete minus one inner product for first order systems
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