An adaptive \(\mathrm{C}^0\) Interior penalty discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations
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Publication:6169227
DOI10.1016/j.apnum.2023.01.004MaRDI QIDQ6169227
Publication date: 11 July 2023
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
von Kármán equationsa posteriori error estimationequilibration\(\mathrm{C}^0\) interior penalty discontinuous Galerkin approximation
Thin bodies, structures (74Kxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Unnamed Item
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- A \(C^0\) interior penalty method for a von Kármán plate
- Mathematical aspects of discontinuous Galerkin methods.
- An introduction to Sobolev spaces and interpolation spaces
- A posteriori estimates for partial differential equations
- Equilibrated residual error estimates are \(p\)-robust
- Hybrid finite element methods for the von Kármán equations
- On the numerical analysis of the Von Kármán equations: Mixed finite element approximation and continuation techniques
- A mixed finite element method for the solutions of the von Kármán equations
- Morley FEM for a distributed optimal control problem governed by the von Kármán equations
- An existence theorem for the von Kármán equations
- A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications toC0IP Methods
- A Nonconforming Finite Element Approximation for the von Karman equations
- An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method
- An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
- The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
- A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
- Mixed and Hybrid Finite Element Methods
- Finite element approximations of the von Kármán equations
- Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations
- A Convergent Adaptive Algorithm for Poisson’s Equation
- A posteriori error estimation for variational problems with uniformly convex functionals
- A C0 Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type
- A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations
- Error control and adaptivity for a variational model problem defined on functions of bounded variation
- On von Karman’s equations and the buckling of a thin elastic plate
- On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
- Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions
- Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates