Parametric Polynomial Preserving Recovery on Manifolds
DOI10.1137/18M1191336zbMath1447.65134arXiv1703.06509MaRDI QIDQ3300860
Publication date: 30 July 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.06509
manifoldssuperconvergencegradient recoverya posteriori error estimatorparametric polynomial preserving
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Global differential geometry (53C99)
Related Items (4)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gradient recovery for the Crouzeix-Raviart element
- Superconvergent two-grid methods for elliptic eigenvalue problems
- Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces
- A finite element method for surface PDEs: Matrix properties
- Superconvergence results on mildly structured triangulations
- An adaptive octree finite element method for PDEs posed on surfaces
- A \(C^0\) linear finite element method for biharmonic problems
- Hessian recovery based finite element methods for the Cahn-Hilliard equation
- The polynomial-preserving recovery for higher order finite element methods in 2D and 3D
- Adaptive discontinuous Galerkin methods on surfaces
- A Higher Order Finite Element Method for Partial Differential Equations on Surfaces
- A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces
- Analysis of the discontinuous Galerkin method for elliptic problems on surfaces
- Solving Partial Differential Equations on Point Clouds
- Function Value Recovery and Its Application in Eigenvalue Problems
- An Adaptive Surface Finite Element Method Based on Volume Meshes
- L2and pointwise a posteriori error estimates for FEM for elliptic PDEs on surfaces
- Hessian recovery for finite element methods
- Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace–Beltrami Operator on General Surfaces
- A Finite Element Method for Elliptic Equations on Surfaces
- Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
- 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
- Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
- A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
- A $C^0$ linear finite element method for two fourth-order eigenvalue problems
- Analysis of recovery type a posteriori error estimators for mildly structured grids
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Superconvergent gradient recovery for virtual element methods
- Enhancing Eigenvalue Approximation by Gradient Recovery
- A New Finite Element Gradient Recovery Method: Superconvergence Property
- Finite element methods for surface PDEs
- The Mathematical Theory of Finite Element Methods
- An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces
- Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes
This page was built for publication: Parametric Polynomial Preserving Recovery on Manifolds