Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus
DOI10.1137/18M1229080zbMath1422.65401arXiv1811.11143WikidataQ127370658 ScholiaQ127370658MaRDI QIDQ5232316
Publication date: 2 September 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.11143
convergenceoptimalitya posteriori error estimateHodge Laplacianfinite element exterior calculusadaptive mixed finite element method
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) Rate of convergence, degree of approximation (41A25)
Related Items (5)
Cites Work
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- A posteriori error estimates for finite element exterior calculus: the de Rham complex
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- An optimally convergent adaptive mixed finite element method
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements in \(\mathbb{R}^3\)
- An algorithm for adaptive mesh refinement in \(n\) dimensions
- Some observations on Babuška and Brezzi theories
- Adaptive finite element methods with convergence rates
- Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation
- Simplicial grid refinement: On Freudenthal's algorithm and the optimal number of congruence classes
- Convergence and quasi-optimality of adaptive finite element methods for harmonic forms
- Optimality of a standard adaptive finite element method
- Error estimators for a mixed method
- Finite element exterior calculus with lower-order terms
- Convergence and optimality of adaptive mixed finite element methods
- Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems
- A posteriori error estimate for the mixed finite element method
- Local bounded cochain projections
- Convergence and Optimality of Adaptive Mixed Methods for Poisson's Equation in the FEEC Framework
- Finite element exterior calculus, homological techniques, and applications
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- A BASIC CONVERGENCE RESULT FOR CONFORMING ADAPTIVE FINITE ELEMENTS
- Finite element exterior calculus: from Hodge theory to numerical stability
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- A comparison of adaptive refinement techniques for elliptic problems
- Data Oscillation and Convergence of Adaptive FEM
- Convergence of Adaptive Mixed Finite Element Methods for the Hodge Laplacian Equation: Without Harmonic Forms
- A Unified Analysis of Quasi-Optimal Convergence for Adaptive Mixed Finite Element Methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations
- The completion of locally refined simplicial partitions created by bisection
- A posteriori error estimates for Maxwell equations
- Smoothed projections in finite element exterior calculus
- Error reduction and convergence for an adaptive mixed finite element method
- Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
- Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems
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