Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ | Paper Citation Record

Observation b3fe9de1-ff09-4a5e-b2c3-c99f0d4b7a02 · outbound

This paper cites MFEM: a modular ﬁnite element methods library.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ MFEM: a modular ﬁnite element methods library

Reference 1

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ High-performance ﬁnite elements with MFEM

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains

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This paper cites A class of domain decompositio n preconditioners forhp-discontinuous Galerkin ﬁnite element methods.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ A class of domain decompositio n preconditioners forhp-discontinuous Galerkin ﬁnite element methods

Reference 4

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This paper cites Algebraic multigrid schemes for hig h-order nodal discontinuous Galerkin methods.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Algebraic multigrid schemes for hig h-order nodal discontinuous Galerkin methods

Reference 5

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This paper cites A uniform additive Schwarz preconditione r for high-order discontinuous Galerkin approximations of elliptic problems.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ A uniform additive Schwarz preconditione r for high-order discontinuous Galerkin approximations of elliptic problems

Reference 6

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This paper cites An interior penalty ﬁnite element method with discon tinuous elements.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ An interior penalty ﬁnite element method with discon tinuous elements

Reference 7

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Quadrilateral H(div) Finite Elements

Reference 8

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This paper cites Uniﬁed analysis of discontinuous Galerkin metho ds for elliptic problems.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Uniﬁed analysis of discontinuous Galerkin metho ds for elliptic problems

Reference 9

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This paper cites Matrix-free multigrid block-preconditioners f or higher order discontinuous Galerkin discretisations.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Matrix-free multigrid block-preconditioners f or higher order discontinuous Galerkin discretisations

Reference 10

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Numerical solution of sadd le point problems

Reference 11

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Polynomial interpolation results in S obolev spaces

Reference 12

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This paper cites Multilevel preconditioning of discontinuous Galerkin spectral element methods. Part I: geometrically conforming meshes.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Multilevel preconditioning of discontinuous Galerkin spectral element methods. Part I: geometrically conforming meshes

Reference 13

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This paper cites Continuous interior penalty hp-ﬁnite element methods for advection and advection-diﬀusion equations.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Continuous interior penalty hp-ﬁnite element methods for advection and advection-diﬀusion equations

Reference 14

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This paper cites A note on disc ontinuous Galerkin divergence-free solu- tions of the Navier–Stokes equations.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ A note on disc ontinuous Galerkin divergence-free solu- tions of the Navier–Stokes equations

Reference 15

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This paper cites Multigrid methods for the Stokes problem on GPU systems.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Multigrid methods for the Stokes problem on GPU systems

Reference 16

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This paper cites Two-level preconditioning of discontinuous Galerkin approximations of second- order elliptic equations.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Two-level preconditioning of discontinuous Galerkin approximations of second- order elliptic equations

Reference 17

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This paper cites An explicit divergence-free DG method for incompressib le ﬂow.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ An explicit divergence-free DG method for incompressib le ﬂow

Reference 18

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This paper cites A multilevel discontinuous Galerkin method.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ A multilevel discontinuous Galerkin method

Reference 19

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Observation cd84ead7-21ba-4b84-9afb-726aec22afa9 · outbound

This paper cites Application of p-multigrid to discontinuous Galerkin formulations of the Poisson equation.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Application of p-multigrid to discontinuous Galerkin formulations of the Poisson equation

Reference 20

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Observation c0190d76-0b77-48c9-8980-29f11190dfa2 · outbound

This paper cites BoomerAMG: a parallel algebraic m ultigrid solver and preconditioner.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ BoomerAMG: a parallel algebraic m ultigrid solver and preconditioner

Reference 21

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This paper cites On the divergence constraint in mixed ﬁnite elemen t methods for incompressible ﬂows.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ On the divergence constraint in mixed ﬁnite elemen t methods for incompressible ﬂows

Reference 22

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This paper cites Multilevel methods for discontinuous Galerkin FE M on locally reﬁned meshes.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Multilevel methods for discontinuous Galerkin FE M on locally reﬁned meshes

Reference 23

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Observation 4b161093-93fb-4e67-975e-b636f4ec668a · outbound

This paper cites Multigrid methods for H div-conforming discontinuous Galerkin methods for the Stokes equations.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Multigrid methods for H div-conforming discontinuous Galerkin methods for the Stokes equations

Reference 24

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This paper cites Conservative and accurate solution t ransfer between high-order and low- order reﬁned ﬁnite element spaces.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Conservative and accurate solution t ransfer between high-order and low- order reﬁned ﬁnite element spaces

Reference 25

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Observation 01d02e50-2a03-4825-8157-8f2df93fb3de · outbound

This paper cites Fast matrix-free evaluation o f discontinuous Galerkin ﬁnite element operators.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Fast matrix-free evaluation o f discontinuous Galerkin ﬁnite element operators

Reference 26

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Observation 8f8f74b5-57c9-4b44-9da4-821aaf74d682 · outbound

This paper cites Fully discrete hp-ﬁnite elements: fast quadrature.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Fully discrete hp-ﬁnite elements: fast quadrature

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This paper cites Decomposition and ﬁctitious domains meth ods for elliptic boundary value prob- lems.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Decomposition and ﬁctitious domains meth ods for elliptic boundary value prob- lems

Reference 28

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Observation 6eb8cb34-70fe-4f26-bc42-c3a1bf9b05ae · outbound

This paper cites Domain decomposition methods.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Domain decomposition methods

Reference 29

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Observation a5a5dfc9-b355-45b7-9f31-dcebd22a8260 · outbound

This paper cites Spectral methods for problems in complex geom etries.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Spectral methods for problems in complex geom etries

Reference 30

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Observation e31c279e-494f-4aaa-84bd-6309d19a6dd6 · outbound

This paper cites On a BPX-preconditioner for P1 elements.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ On a BPX-preconditioner for P1 elements

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Observation 879e79d3-baf4-4db0-9c93-d75f1d2b39f2 · outbound

This paper cites Additive Schwarz methods for the p-version ﬁnite element method.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Additive Schwarz methods for the p-version ﬁnite element method

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Observation fed0a3c3-c13f-47b8-a050-dc0c6b0ef076 · outbound

This paper cites Domain decomposition algorithms for the p-version ﬁnite element method for elliptic problems.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Domain decomposition algorithms for the p-version ﬁnite element method for elliptic problems

Reference 33

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Observation 37f2f6fd-856d-4cf4-b1c9-de9830ba02c0 · outbound

This paper cites Eﬃcient low-order reﬁned preconditioners for hig h-order matrix-free continuous and dis- continuous Galerkin methods.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Eﬃcient low-order reﬁned preconditioners for hig h-order matrix-free continuous and dis- continuous Galerkin methods

Reference 34

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Observation 90d735c1-c8fc-4a21-8790-c1dad3d8291d · outbound

This paper cites Uniform subspace correction precon ditioners for discontinuous Galerkin methods with hp-reﬁnement.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Uniform subspace correction precon ditioners for discontinuous Galerkin methods with hp-reﬁnement

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Observation 77418238-ab4a-40d0-a21d-b85007e21db4 · outbound

This paper cites Low-order precon ditioning for the high-order ﬁnite element de Rham complex.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Low-order precon ditioning for the high-order ﬁnite element de Rham complex

Reference 36

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Observation 8d442da3-12b6-4f65-8055-fdfb0ee16e64 · outbound

This paper cites Matrix-free high-p erformance saddle-point solvers for high-order problems in H(div).

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Matrix-free high-p erformance saddle-point solvers for high-order problems in H(div)

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Observation f3565d28-f5ba-48de-9d16-0431adc56627 · outbound

This paper cites Approximate tensor-product preconditioners for very high order dis- continuous Galerkin methods.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Approximate tensor-product preconditioners for very high order dis- continuous Galerkin methods

Reference 38

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This paper cites Algebraic Multigrid.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Algebraic Multigrid

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Observation 6572dc4a-276f-499c-965a-eb7fac00f74d · outbound

This paper cites An explicit expression for the penalty parameter of the interior penalty method.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ An explicit expression for the penalty parameter of the interior penalty method

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Observation a0f51b6b-2614-48a2-bd46-d38190e39720 · outbound

This paper cites Comparison of multigrid alg orithms for high-order continuous ﬁnite element discretizations.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Comparison of multigrid alg orithms for high-order continuous ﬁnite element discretizations

Reference 41

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Observation 2e5ec88e-e4ec-46ba-ada5-b6ddcb5e24e0 · outbound

This paper cites Short note on the mass matrix for Gauss–Lo batto grid points.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Short note on the mass matrix for Gauss–Lo batto grid points

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Observation afe7980c-c223-44db-a7da-258bede9d4bd · outbound

This paper cites Toselli and O.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Toselli and O

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This paper cites A robust numerical method for S tokes equations based on divergence- freehH(div) ﬁnite element methods.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ A robust numerical method for S tokes equations based on divergence- freehH(div) ﬁnite element methods

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Observation 0c99c016-21cc-4f96-a4f1-cde182722726 · outbound

This paper cites The auxiliary space method and optimal multigrid precond itioning techniques for unstructured grids.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ The auxiliary space method and optimal multigrid precond itioning techniques for unstructured grids

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Observation c3a1d91c-23c0-48db-963e-f4074e1d0fac · outbound

This paper cites Iterative methods by space decomposition and subspa ce correction.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Iterative methods by space decomposition and subspa ce correction

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This paper cites The method of subspace corrections.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ The method of subspace corrections

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Observation 063c7874-3430-4eb4-9c4e-fc6f39075b0a · outbound

This paper cites The method of alternating projection s and the method of subspace corrections in Hilbert space.

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ The method of alternating projection s and the method of subspace corrections in Hilbert space

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Unresolved cited work

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Unresolved cited work

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Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$ Unresolved cited work

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