Quantitative Error Control for Finite Element Methods for One-Dimensional Compressible Flow

DOI10.1137/S0036142997321625zbMath0910.76038MaRDI QIDQ4210318

Robert Sandboge

Publication date: 21 September 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

energy estimatesEuler equationsRiemann problema posteriori error estimatesstrong stabilitylinearized dual problemscalar Burgers equationspace-time streamline diffusion finite element method

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

Adaptive Turbulence Computation Based on Weak Solutions and Weak Uniqueness ⋮ Adaptive finite element methods for systems of reaction-diffusion equations ⋮ Adaptive finite element methods for compressible flow

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