Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ | Paper Citation Record

Observation e9316544-3279-4912-bcb1-f46e81a108b9 · outbound

This paper cites Each H 1/2- stable projection yields convergence and quasi-optimality of adapt ive FEM with inhomogeneous Dirichlet data in Rd.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Each H 1/2- stable projection yields convergence and quasi-optimality of adapt ive FEM with inhomogeneous Dirichlet data in Rd

Reference 1

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This paper cites The h-p version of the ﬁnite element method with quasi-uniform meshes.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ The h-p version of the ﬁnite element method with quasi-uniform meshes

Reference 2

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This paper cites Local ﬂux reconstructions for standard ﬁnite element methods on triangular meshes.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Local ﬂux reconstructions for standard ﬁnite element methods on triangular meshes

Reference 3

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This paper cites A local regularization operator for triangular and quadrilateral ﬁnite elements.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ A local regularization operator for triangular and quadrilateral ﬁnite elements

Reference 4

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This paper cites Quelques propri´ et´ es d’approximation des ´ el´ ements ﬁnis de N´ed´ elec, application ` a l’analyse a posteriori.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Quelques propri´ et´ es d’approximation des ´ el´ ements ﬁnis de N´ed´ elec, application ` a l’analyse a posteriori

Reference 5

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This paper cites A new H(div)-conforming p-interpolation operator in two dimen- sions.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ A new H(div)-conforming p-interpolation operator in two dimen- sions

Reference 6

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This paper cites Mixed ﬁnite element methods and applications , vol.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Mixed ﬁnite element methods and applications , vol

Reference 7

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Equilibrated residual error estimates are p-robust

Reference 8

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Equilibrated residual error estimator for edge elements

Reference 9

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This paper cites Optimal error estimate for the div least-squares method with data f ∈L2 and application to nonlinear problems.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Optimal error estimate for the div least-squares method with data f ∈L2 and application to nonlinear problems

Reference 10

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ H., Stevenson, R., and Verani, M

Reference 11

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Comparison results of ﬁnite element methods for the Poisson model problem

Reference 12

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Medius analysis and comparison results for ﬁrst-order ﬁnite element methods in linear elasticity

Reference 13

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This paper cites H., and Winther, R.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ H., and Winther, R

Reference 14

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Approximation by ﬁnite element functions using local regularization

Reference 15

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ On Bogovski ˘ ı and regularized Poincar´ e integral operators for de Rham complexes on Lipschitz domains

Reference 16

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Polynomial exact sequences and projection-based interpolation w ith application to Maxwell equations

Reference 17

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This paper cites H 1, H(curl) and H(div)-conforming projection-based interpo- lation in three dimensions.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ H 1, H(curl) and H(div)-conforming projection-based interpo- lation in three dimensions

Reference 18

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Polynomial extension operators

Reference 19

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This paper cites Polynomial extension operators.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Polynomial extension operators

Reference 20

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This paper cites Polynomial extension operators.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Polynomial extension operators

Reference 21

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Explicit error bounds in a conforming ﬁnite element method

Reference 22

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This paper cites hp-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ hp-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems

Reference 23

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Molliﬁcation in strongly Lipschitz domains with application to continuous and discrete de Rham complexes

Reference 24

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Finite element quasi-interpolation and best approximation

Reference 25

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coeﬃcients and minimal regularity

Reference 26

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This paper cites Discrete p-robust H(div)-liftings and a posteriori estimates for elliptic problems with H −1 source terms.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Discrete p-robust H(div)-liftings and a posteriori estimates for elliptic problems with H −1 source terms

Reference 27

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Adaptive inexact Newton methods with a posteriori stopping criter ia for nonlinear diﬀusion PDEs

Reference 28

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Polynomial-degree-robust a posteriori estimates in a uniﬁed settin g for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations

Reference 29

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Stable broken H 1 and H(div) polynomial extensions for polynomial- degree-robust potential and ﬂux reconstruction in three space dimensions

Reference 30

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This paper cites S., and Winther, R.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ S., and Winther, R

Reference 31

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This paper cites A new error analysis for discontinuous ﬁnite element methods for line ar elliptic problems.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ A new error analysis for discontinuous ﬁnite element methods for line ar elliptic problems

Reference 32

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This paper cites A comment on least-squares ﬁnite element methods with minimum regu larity assumptions.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ A comment on least-squares ﬁnite element methods with minimum regu larity assumptions

Reference 33

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Unresolved cited work

Reference 34

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Unresolved cited work

Reference 35

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ M., and Rojik, C

Reference 36

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Mixed ﬁnite elements in R3

Reference 37

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ H., and Stamm, B

Reference 38

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ I., Carey, G

Reference 39

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This paper cites A mixed ﬁnite element method for 2nd order elliptic prob- lems.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ A mixed ﬁnite element method for 2nd order elliptic prob- lems

Reference 40

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ E., and Thomas, J.-M

Reference 41

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Commuting quasi-interpolation operators for mixed ﬁnite elements

Reference 42

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This paper cites A multilevel decomposition result in H(curl).

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ A multilevel decomposition result in H(curl)

Reference 43

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ R., and Zhang, S

Reference 44

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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ Approximating gradients with continuous piecewise polynomial funct ions

Reference 45

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This paper cites A posteriori error estimation techniques for ﬁnite element methods.

Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ A posteriori error estimation techniques for ﬁnite element methods

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:03.674766Z

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