Mixed approximations of evolution problems

DOI10.1016/0045-7825(80)90043-2zbMath0457.73049OpenAlexW1993377669WikidataQ56996789 ScholiaQ56996789MaRDI QIDQ1151279

Alfio M. Quarteroni

Publication date: 1980

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(80)90043-2

zbMATH Keywords

Crank-Nicolson schemebackward finite difference schemenoncoercive stationary partsemidiscrete problemtime continuous Galerkin approximationtwo implicit difference schemes convergence in L2-norm and in energy norm

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Schrödinger operator, Schrödinger equation (35J10)

Related Items

On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation, On mixed methods for fourth-order problems, A mathematical model for suspension bridge vibration

Cites Work

• On mixed methods for fourth-order problems
• Dual iterative techniques for solving a finite element approximation of the biharmonic equation
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• An Alternating Direction Method for Schrödinger’s Equation
• Galerkin Methods for Parabolic Equations
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