Polynomial preserving recovery and a posteriori error estimates for the two-dimensional quad-curl problem
DOI10.3934/dcdsb.2022124zbMath1501.65136OpenAlexW4285181040MaRDI QIDQ2093470
Publication date: 8 November 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022124
superconvergenceadaptivepolynomial preserving recoveryquad-curl problem\textit{a posteriori} error estimate
Error bounds for boundary value problems involving PDEs (65N15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Rate of convergence, degree of approximation (41A25)
Uses Software
Cites Work
- Polynomial preserving recovery on boundary
- A mixed FEM for the quad-curl eigenvalue problem
- Hodge decomposition methods for a quad-curl problem on planar domains
- The polynomial-preserving recovery for higher order finite element methods in 2D and 3D
- A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media
- A Discontinuous Galerkin Method for the Fourth-Order Curl Problem
- Finite Element Methods for Maxwell's Transmission Eigenvalues
- A nonconforming finite element method for fourth order curl equations in ℝ³
- Iterative Methods for Transmission Eigenvalues
- Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes?
- A simple error estimator and adaptive procedure for practical engineerng analysis
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
- Analysis of recovery type a posteriori error estimators for mildly structured grids
- A Convergent Adaptive Algorithm for Poisson’s Equation
- A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE QUAD-CURL PROBLEM
- A priori and a posteriori error estimates for the quad-curl eigenvalue problem
- Simple Curl-Curl-Conforming Finite Elements in Two Dimensions
- H(curl$^2$)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl Problem
- A New Finite Element Gradient Recovery Method: Superconvergence Property
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