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Superconvergent HDG methods for Maxwell's equations via the \(M\)-decomposition - MaRDI portal

Superconvergent HDG methods for Maxwell's equations via the \(M\)-decomposition (Q2237907)

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Language	Label	Description	Also known as
English	Superconvergent HDG methods for Maxwell's equations via the \(M\)-decomposition	scientific article

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scholarly article

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Superconvergent HDG methods for Maxwell's equations via the \(M\)-decomposition (English)

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Journal of Computational and Applied Mathematics

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publication date

28 October 2021

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full work available at URL

https://arxiv.org/abs/1905.07383

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zbMATH Keywords

Maxwell's equations

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\(M\)-decomposition

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HDG method

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error analysis

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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A new family of mixed finite elements in \({\mathbb{R}}^ 3\)

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Mixed finite elements in \(\mathbb{R}^3\)

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Finite elements in computational electromagnetism

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Finite Element Methods for Maxwell's Equations

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A finite element method for approximating the time-harmonic Maxwell equations

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Optimal Error Estimates for Nedelec Edge Elements for Time-Harmonic Maxwell's Equations

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Stabilized interior penalty methods for the time-harmonic Maxwell equations.

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The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations

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Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

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Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation

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An analysis of HDG methods for the Helmholtz equation

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Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations

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Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations

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Hodge decomposition for two-dimensional time-harmonic Maxwell's equations: impedance boundary condition

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

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A projection-based error analysis of HDG methods

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An HDG method for distributed control of convection diffusion PDEs

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A superconvergent HDG method for distributed control of convection diffusion PDEs

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A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity

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Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations

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iHDG: An Iterative HDG Framework for Partial Differential Equations

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Construction and Analysis of HDG Methods for Linearized Shallow Water Equations

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A hybridizable discontinuous Galerkin method for modeling fluid-structure interaction

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Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion

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Discrete $H^1$-Inequalities for Spaces Admitting M-Decompositions

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Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions

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A note on the devising of superconvergent HDG methods for Stokes flow by<i>M</i>-decompositions

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Superconvergence by<i>M</i>-decompositions. Part III: Construction of three-dimensional finite elements

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Superconvergence by<i>M</i>-decompositions. Part II: Construction of two-dimensional finite elements

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A superconvergent HDG method for the Maxwell equations

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A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations

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A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number

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An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number

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Finite Element Methods for Navier-Stokes Equations

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Vector potentials in three-dimensional non-smooth domains

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Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions

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A hybridizable and superconvergent discontinuous Galerkin method for biharmonic problems

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Analysis of HDG methods for Stokes flow

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Uniform-in-time superconvergence of HDG methods for the heat equation

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A projection-based error analysis of HDG methods for Timoshenko beams

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Conditions for superconvergence of HDG methods for second-order elliptic problems

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Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes

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Analysis of HDG methods for Oseen equations

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Finite element quasi-interpolation and best approximation

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Interior penalty method for the indefinite time-harmonic Maxwell equations

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A Systematic Construction of Finite Element Commuting Exact Sequences

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Identifiers

zbMATH Open document ID

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10.1016/j.cam.2021.113789

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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:2237907

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