Numerical solutions for nonlinear elliptic problems based on first-order system
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Publication:2006043
DOI10.1016/j.camwa.2015.02.001zbMath1443.65354OpenAlexW1994601384MaRDI QIDQ2006043
Publication date: 8 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.02.001
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations (35J62)
Cites Work
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- Convergence and quasi-optimality of an adaptive finite element method for controlling \(L_{2}\) errors
- A posteriori error estimates for the primary and dual variables for the div first-order least-squares finite element method
- Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
- Consistency, stability, a priori and a posteriori errors for Petrov- Galerkin methods applied to nonlinear problems
- Techniques of scientific computing (Part 2)
- Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates
- Sharp $L_2$-Norm Error Estimates for First-Order div Least-Squares Methods
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- AN ADAPTIVE FINITE ELEMENT METHOD WITH EFFICIENT MAXIMUM NORM ERROR CONTROL FOR ELLIPTIC PROBLEMS
- Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- A Priori and A Posteriori Analysis of Mixed Finite Element Methods for Nonlinear Elliptic Equations
- The Mathematical Theory of Finite Element Methods
- On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles
- The $L^2$ Norm Error Estimates for the Div Least‐Squares Method
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