Finite element method for some nonlinear integro-differential equations

DOI10.1007/s11766-999-0074-2zbMath0958.65145OpenAlexW2028992061MaRDI QIDQ1970744

Chengshun Jiang

Publication date: 10 April 2001

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-999-0074-2

zbMATH Keywords

error estimatesfinite element methodCrank-Nicolson methodelliptic Ritz-Volterra projectionnonlinear hyperbolic partial integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

Cites Work

• Limiting behavior of strongly damped nonlinear wave equations
• Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
• On a Nonlinear Hyperbolic Volterra Equation
• An Abstract Parabolic Volterra Integrodifferential Equation