A Unified Analysis of Quasi-Optimal Convergence for Adaptive Mixed Finite Element Methods
From MaRDI portal
Publication:4602549
DOI10.1137/16M105513XzbMath1387.65118arXiv1601.00132MaRDI QIDQ4602549
No author found.
Publication date: 31 January 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.00132
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) Complexity and performance of numerical algorithms (65Y20)
Related Items
Adaptive Least-Squares, Discontinuous Petrov-Galerkin, and Hybrid High-Order Methods, Superconvergent pseudostress-velocity finite element methods for the Oseen equations, A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems, A posteriori error analysis of a fully-discrete finite element method for the wave equation, An optimal adaptive Fictitious Domain Method, Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors, The Convergence and Superconvergence of a MFEM for Elliptic Optimal Control Problems, Partial relaxation of \(C^0\) vertex continuity of stresses of conforming mixed finite elements for the elasticity problem, Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus, Computational engineering. Abstracts from the workshop held October 21--27, 2018
Cites Work
- Axioms of adaptivity
- Guaranteed a posteriori error estimator for mixed finite element methods of elliptic problems
- A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension
- An optimally convergent adaptive mixed finite element method
- Feedback and adaptive finite element solution of one-dimensional boundary value problems
- Superconvergence and a posteriori error estimation for triangular mixed finite elements
- Mixed finite elements for elasticity
- Adaptive finite element methods with convergence rates
- Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation
- Optimal adaptive nonconforming FEM for the Stokes problem
- A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids
- Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem
- Optimality of a standard adaptive finite element method
- A posteriori error estimates for mixed finite element approximations of elliptic problems
- A mixed finite element method for elasticity in three dimensions
- Error estimators for a mixed method
- Finite element approximations of symmetric tensors on simplicial grids in ℝn: The lower order case
- Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations
- Convergence and optimality of adaptive mixed finite element methods
- Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations
- A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem
- A posteriori error estimate for the mixed finite element method
- An optimal adaptive mixed finite element method
- Energy norm a posteriori error estimates for mixed finite element methods
- Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order case
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Mixed finite element methods for incompressible flow: Stationary Stokes equations
- Finite elements for symmetric tensors in three dimensions
- A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Mixed and Hybrid Finite Element Methods
- A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
- Data Oscillation and Convergence of Adaptive FEM
- Convergence of Adaptive Finite Element Methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Quasi-optimal convergence rate for adaptive mixed finite element methods
- A New Family of Efficient Conforming Mixed Finite Elements on Both Rectangular and Cuboid Meshes for Linear Elasticity in the Symmetric Formulation
- A Posteriori Error Estimators for the Raviart–Thomas Element
- Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations
- A posteriori error estimates for Maxwell equations
- Error reduction and convergence for an adaptive mixed finite element method