Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem
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Publication:1739461
DOI10.1016/j.aml.2019.01.039zbMath1414.65036OpenAlexW2911361394MaRDI QIDQ1739461
Publication date: 26 April 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.039
MFEM\(E Q_1^{r o t}\) nonconforming elementnonlinear bi-wave SPPsuperconvergent estimatesuniform superclose
Singular perturbations in context of PDEs (35B25) 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) Ginzburg-Landau equations (35Q56)
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Cites Work
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- A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes
- Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
- A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations
- Symmetry reduction and some exact solutions of nonlinear biwave equations
- Superconvergence analysis of a new low order nonconforming MFEM for time-fractional diffusion equation
- Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element
- Superconvergent discontinuous Galerkin methods for linear non-selfadjoint and indefinite elliptic problems
- Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem
- Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations
- Discontinuous finite element methods for a bi-wave equation modeling $d$-wave superconductors
- Finite element methods for a bi-wave equation modeling d-wave superconductors
- Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
- Simple nonconforming quadrilateral Stokes element
- Studies of a Ginzburg--Landau Model ford-Wave Superconductors
- P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
- Uniform superconvergence analysis of Ciarlet‐Raviart scheme for Bi‐wave singular perturbation problem
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- New estimates of mixed finite element method for fourth‐order wave equation
- Approximation of Nonconforming Quasi-Wilson Element for Sine-Gordon Equations
