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Inf-sup stability implies quasi-orthogonality (Q5097369)

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scientific article; zbMATH DE number 7574497

Language	Label	Description	Also known as
English	Inf-sup stability implies quasi-orthogonality	scientific article; zbMATH DE number 7574497

Statements

scholarly article

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Inf-sup stability implies quasi-orthogonality (English)

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Michael Feischl

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Mathematics of Computation

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publication date

23 August 2022

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full work available at URL

https://arxiv.org/abs/2008.12198

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zbMATH Keywords

finite elements

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mesh refinement

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MaRDI profile type

MaRDI publication profile

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Poincaré and Sobolev type inequalities for vector-valued functions

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LU-factorization of order bounded operators on Banach sequence spaces

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A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling

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Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

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Local inverse estimates for non-local boundary integral operators

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Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

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A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator

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Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations

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Pinching, Trimming, Truncating, and Averaging of Matrices

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Adaptive finite element methods with convergence rates

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Three-Dimensional Finite Element Methods for the Stokes Problem

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Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method

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Mixed and Hybrid Finite Element Methods

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Axioms of adaptivity

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Optimal adaptive nonconforming FEM for the Stokes problem

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The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust

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Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

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Quasioptimal cardinality of AFEM driven by nonresidual estimators

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Convergence and optimality of adaptive mixed finite element methods

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Lipschitz Continuity of Functions of Operators in the Schatten Classes

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A Convergent Adaptive Algorithm for Poisson’s Equation

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Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation

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Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems

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Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method

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Efficient implementation of adaptive P1-FEM in Matlab

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Rate optimality of adaptive finite element methods with respect to overall computational costs

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Adaptive boundary element methods with convergence rates

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Accuracy and Stability of Numerical Algorithms

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Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation

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On the Coupling of Boundary Integral and Finite Element Methods

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An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem

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A-Stable Time Discretizations Preserve Maximal Parabolic Regularity

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Decay rates of adaptive finite elements with Dörfler marking

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The main triangle projection in matrix spaces and its applications

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Data Oscillation and Convergence of Adaptive FEM

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A BASIC CONVERGENCE RESULT FOR CONFORMING ADAPTIVE FINITE ELEMENTS

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Adaptive mesh refinement -- theory and applications. Proceedings of the Chicago workshop on adaptive mesh refinement methods, Chicago, IL, USA, September 3--5, 2003.

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A natural adaptive nonconforming FEM of quasi-optimal complexity

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The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces

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Space-time adaptive wavelet methods for parabolic evolution problems

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Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

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Automatic control and adaptive time-stepping

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Optimality of a standard adaptive finite element method

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The completion of locally refined simplicial partitions created by bisection

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Some observations on Babuška and Brezzi theories

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Identifiers

zbMATH Open document ID

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10.1090/mcom/3748

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5097369

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