Weak Galerkin finite element methods for $\mathbf{H}(\mathrm{curl};\Omega)$ and $\mathbf{H}(\mathrm{curl},\operatorname{div};\Omega)$-elliptic problems

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25)

Cites Work

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The weak Galerkin method for solving the incompressible Brinkman flow
Discretization of div-curl systems by weak Galerkin finite element methods on polyhedral partitions
Computation of Maxwell singular solution by nodal-continuous elements
A weak Galerkin finite element method for the Maxwell equations
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem
On electric and magnetic problems for vector fields in anisotropic nonhomogeneous media
A coercive bilinear form for Maxwell's equations
A weak Galerkin least-squares finite element method for div-curl systems
Weak Galerkin methods for time-dependent Maxwell's equations
On generalized harmonic fields in domains with anisotropic nonhomogeneous media
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
A weak Galerkin finite element method for second-order elliptic problems
Analysis of a continuous finite element method for $H(\mathrm{curl},\mathrm{div})$-elliptic interface problem
Singularities of electromagnetic fields in polyhedral domains
Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes
A coercive mixed formulation for the generalized Maxwell problem
A weak Galerkin mixed finite element method for second order elliptic problems
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations
A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems
Finite Element Methods for Navier-Stokes Equations
Singularities of Maxwell interface problems
A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
A Justification of Eddy Currents Model for the Maxwell Equations
A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution
Weak Galerkin method for the coupled Darcy–Stokes flow
A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
Finite Element Methods for Maxwell's Equations
A weak Galerkin finite element method for the Stokes equations

Weak Galerkin finite element methods for \(\mathbf{H}(\mathrm{curl};\Omega)\) and \(\mathbf{H}(\mathrm{curl},\operatorname{div};\Omega)\)-elliptic problems