A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition

DOI10.4208/ijnam2023-1028zbMath1528.65112OpenAlexW4386874152MaRDI QIDQ6143272

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Publication date: 23 January 2024

Published in: International Journal of Numerical Analysis and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/ijnam2023-1028

zbMATH Keywords

finite element methodsweak Galerkinweak gradientsecond order elliptic problemspolytopal partitions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50)

Cites Work

• Unnamed Item
• Unnamed Item
• On application of the weak Galerkin finite element method to a two-phase model for subsurface flow
• \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
• A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs
• A primal-dual finite element method for first-order transport problems
• A weak Galerkin finite element method for the Maxwell equations
• Weak Dirichlet boundary conditions for wall-bounded turbulent flows
• Weak Galerkin methods for time-dependent Maxwell's equations
• A new weak Galerkin finite element method for elliptic interface problems
• A weak Galerkin finite element method for second-order elliptic problems
• Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
• A stabilizer free weak Galerkin finite element method on polytopal mesh. II
• A stabilizer free weak Galerkin finite element method on polytopal mesh. III
• Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements
• Modified weak Galerkin method with weakly imposed boundary condition for convection-dominated diffusion equations
• A weak Galerkin finite element method with polynomial reduction
• Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
• An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• The finite element method with Lagrangian multipliers
• A new numerical method for div-curl systems with low regularity assumptions
• Virtual Element Method for general second-order elliptic problems on polygonal meshes
• Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations
• Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
• A weak Galerkin mixed finite element method for second order elliptic problems
• Imposing Dirichlet boundary conditions in the extended finite element method
• A Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A discontinuous-Galerkin-based immersed boundary method
• The Finite Element Method with Penalty
• A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form
• A weak Galerkin finite element scheme for the Cahn-Hilliard equation
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• A Primal-Dual Weak Galerkin Finite Element Method for Fokker--Planck Type Equations
• A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
• A Modified Primal-Dual Weak Galerkin Finite Element Method for Second Order Elliptic Equations in Non-Divergence Form
• Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems
• A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
• Developing weak Galerkin finite element methods for the wave equation
• The Mathematical Theory of Finite Element Methods
• A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems
• Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions
• A weak Galerkin finite element method for the Navier-Stokes equations
• A weak Galerkin finite element method for the Stokes equations
• A stabilizer free weak Galerkin finite element method with supercloseness of order two

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