A holomorphic semigroup approach to the lumped mass finite element method

DOI10.1016/j.cam.2003.11.003zbMath1058.65108OpenAlexW2019368384MaRDI QIDQ1877196

Norikazu Saito

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.11.003

zbMATH Keywords

error estimatesfinite element methodholomorphic semigroupparabolic equationslumped mass approximation

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

A priorianda posteriorierror estimates for the method of lumped masses for parabolic optimal control problems ⋮ Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis ⋮ Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme ⋮ Some error estimates for the lumped mass finite element method for a parabolic problem

Cites Work

• Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs
• Fractional powers of dissipative operators. II
• Fractional powers of dissipative operators
• Fehlerabschätzungen für das Galerkinverfahren zur Lösung von Evolutionsgleichungen
• On the finite element method for parabolic equations. I: Approximation of homomorphic semi-groups
• The lumped mass finite element method for a parabolic problem
• Finite element approximation for degenerate parabolic equations. an application of nonlinear semigroup theory
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