A hybridizable discontinuous triangular spectral element method on unstructured meshes and its \textit{hp}-error estimates
DOI10.1007/s11075-022-01300-3OpenAlexW4223614005WikidataQ112879570 ScholiaQ112879570MaRDI QIDQ2084259
Bo Wang, Bingzhen Zhou, Li-Lian Wang, Zi-Qing Xie
Publication date: 18 October 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-022-01300-3
spectral element methodunstructured triangular meshhybridizable discontinuous Galerkin method\textit{hp} error analysis
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Algorithms for approximation of functions (65D15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An HDG method for convection diffusion equation
- A fast spectral element solver combining static condensation and multigrid techniques
- A new triangular spectral element method. I: Implementation and analysis on a triangle
- To CG or to HDG: A comparative study
- On the suboptimality of the \(p\)-version interior penalty discontinuous Galerkin method
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- Spectral methods on triangles and other domains
- Factorizing the factorization -- a spectral-element solver for elliptic equations with linear operation count
- Spectral element methods on unstructured meshes: Which interpolation points?
- Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
- An Algorithm for Computing Fekete Points in the Triangle
- Conditions for superconvergence of HDG methods for second-order elliptic problems
- Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion
- A New Spectral Method on Triangles
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions
- Implementing Spectral Methods for Partial Differential Equations
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- High-Order Methods for Incompressible Fluid Flow
- A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations
- A new triangular and tetrahedral basis for high‐order (hp) finite element methods
- hp analysis of a hybrid DG method for Stokes flow
- A New Triangular Spectral Element Method II: Mixed Formulation and hp-Error Estimates
- Discontinuous Galerkin Method
- The triangular spectral element method for Stokes eigenvalues
- Spectral Methods
- Spectral/hp Element Methods for Computational Fluid Dynamics
This page was built for publication: A hybridizable discontinuous triangular spectral element method on unstructured meshes and its \textit{hp}-error estimates