Numerical verifications of solutions for nonlinear elliptic equations
DOI10.1007/BF03167208zbMath0784.65082OpenAlexW2054143717MaRDI QIDQ689912
Mitsuhiro T. Nakao, Yoshitaka Watanabe
Publication date: 29 March 1994
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167208
convergenceerror estimatesnumerical examplesfinite elementnonlinear elliptic problemsNewton-like verification method
Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical verification method for the existence of weak solutions for nonlinear boundary value problems
- Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems
- The Pseudo-Spectral Method and Path Following in Reaction-Diffusion Bifurcation Studies
- A numerical approach to the proof of existence of solutions for elliptic problems II
- A method of bivariate interpolation and smooth surface fitting based on local procedures
- A numerical approach to the proof of existence of solutions for elliptic problems
- A Posteriori Error Bounds for Two-Point Boundary Value Problems
- On the Existence of Positive Solutions of Semilinear Elliptic Equations