A penalized weak Galerkin spectral element method for second order elliptic equations
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Publication:2222173
DOI10.1016/j.cam.2020.113228zbMath1456.65174OpenAlexW3092665360MaRDI QIDQ2222173
Publication date: 3 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113228
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Cites Work
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- A new triangular spectral element method. I: Implementation and analysis on a triangle
- A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
- High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- A weak Galerkin finite element method for the Maxwell equations
- A systematic study on weak Galerkin finite element methods for second order elliptic problems
- A weak Galerkin finite element method for second-order elliptic problems
- A weak Galerkin finite element method with polynomial reduction
- Optimal spectral-Galerkin methods using generalized Jacobi polynomials
- A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
- On L<sup>2</sup> Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems
- A new weak Galerkin finite element method for the Helmholtz equation
- Efficient Spectral and Spectral Element Methods for Eigenvalue Problems of Schrödinger Equations with an Inverse Square Potential
- Spectral Methods
- A weak Galerkin mixed finite element method for second order elliptic problems
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- The $p$-version of the finite element method for elliptic equations of order $2l$
- A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions
- Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle
- Finite Element Methods for Navier-Stokes Equations
- A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
- Thep-Version of the Finite Element Method
- Basis Functions for Triangular and Quadrilateral High-Order Elements
- Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form
- Finite Element Methods for Maxwell's Equations
- A new triangular and tetrahedral basis for high‐order (hp) finite element methods
- hp analysis of a hybrid DG method for Stokes flow
- The triangular spectral element method for Stokes eigenvalues
- Spectral Methods
- Optimal convergence estimates for the trace of the polynomial $L^{2}$-projection operator on a simplex
- Spectral Methods
- Spectral/hp Element Methods for Computational Fluid Dynamics
- A weak Galerkin finite element method for the Navier-Stokes equations
- A weak Galerkin finite element method for the Stokes equations
