An hp-mixed discontinuous Galerkin method for the biharmonic eigenvalue problem
DOI10.1016/j.amc.2023.127969OpenAlexW4361022765MaRDI QIDQ6160575
Jinhua Feng, Yidu Yang, Hai Bi, Shixi Wang
Publication date: 26 June 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2023.127969
a priori error analysismixed DG methoda posterior error analysishp approximationsthe biharmonic eigenvalue
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
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- Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems
- Mixed discontinuous Galerkin finite element method for the biharmonic equation
- Mathematical aspects of discontinuous Galerkin methods.
- Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes
- Convergence of a lowest-order finite element method for the transmission eigenvalue problem
- The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems
- Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering
- The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem
- Mixed methods for the elastic transmission eigenvalue problem
- A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems
- A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems.
- Eigenvalue approximation from below using non-conforming finite elements
- Discontinuous Galerkin approximation of the Laplace eigenproblem
- Mixed Methods for the Helmholtz Transmission Eigenvalues
- Finite element approximation of eigenvalue problems
- A priori and a posteriori error analysis for the mixed discontinuous Galerkin finite element approximations of the biharmonic problems
- Residual-based a posteriori error estimator for the mixed finite element approximation of the biharmonic equation
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- The $h-p$ version of the finite element method with quasiuniform meshes
- On the boundary value problem of the biharmonic operator on domains with angular corners
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Finite Elements II
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
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