Interior error estimates of the Ritz method for pseudo-differential equations

DOI10.1007/BF03167092zbMath0597.65083MaRDI QIDQ3730978

Klaus Braun

Publication date: 1986

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

zbMATH Keywords

finite elementsRitz methodinterior estimatesHilbert-spaceOptimal local error estimatesstrongly elliptic pseudo-differential equationssuper-approximability

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for PDEs with pseudodifferential operators (35S15) Numerical solutions to equations with linear operators (65J10)

Related Items

Local convergence of the boundary element method on polyhedral domains

Cites Work

• A finite element method for some integral equations of the first kind
• Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
• Error-bounds for finite element method
• Zur Konvergenz von Näherungsverfahren bezüglich verschiedener Normen. (On convergence of approximation methods with respect to various norms)
• Finite Element Analysis of a Scattering Problem
• Simultaneous approximation in negative norms of arbitrary order
• Interior Estimates for Ritz-Galerkin Methods
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• Elliptic Partial Differential Equations of Second Order
• Simultaneous Approximation in Scales of Banach Spaces
• Curved Elements in the Finite Element Method. I
• An algebra of pseudo‐differential operators
• SCALES OF BANACH SPACES
• On Local Approximation Properties of L₂-Projection on Spline-Subspaces†
• Unnamed Item