Superconvergence for a mixed finite element method for elastic wave propagation in a plane domain

DOI10.1007/BF01389623zbMath0607.73027OpenAlexW2059407968MaRDI QIDQ1085661

Jim jun. Douglas, Chaitan P. Gupta

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133106

zbMATH Keywords

Sobolev spaceserror estimatessuperconvergencedifference quotientshigher order mixed finite element methodnonpositive indexplane, elastic mediumquasi- projection analysisspatially periodic problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Waves in solid mechanics (74J99) Numerical and other methods in solid mechanics (74S99)

Related Items

A new mixed finite element method for elastodynamics with weak symmetry ⋮ Mixed virtual element methods for elastodynamics with weak symmetry ⋮ Nonconforming modified quasi-Wilson finite element method for convection-diffusion-reaction equation ⋮ On superconvergence techniques ⋮ On mixed finite element methods for linear elastodynamics

Cites Work

• A family of higher order mixed finite element methods for plane elasticity
• Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable
• Interior and superconvergence estimates for a primal hybrid finite element method for second order elliptic problems
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Superconvergence of mixed finite element methods for parabolic equations
• A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
• Interior and superconvergence estimates for mixed methods for second order elliptic problems