scientific article; zbMATH DE number 7485209

zbMath1482.65218MaRDI QIDQ5862257

Li-Lian Wang, Hui-yuan Li

Publication date: 7 March 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/723.html

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zbMATH Keywords

spectral accuracyrational basis functionsspectral methods on tetrahedra

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Approximation by rational functions (41A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical radial basis function approximation (65D12)

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A new triangular spectral element method. I: Implementation and analysis on a triangle, Some progress in spectral methods, A spectral method for triangular prism, A hybridizable discontinuous triangular spectral element method on unstructured meshes and its \textit{hp}-error estimates, A novel tetrahedral spectral element method for Kohn-Sham model, Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials

Cites Work

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• Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
• Error analysis of spectral method on a triangle
• Generalized Jacobi polynomials/functions and their applications
• Spectral methods on triangles and other domains
• Orthogonal polynomials and cubature formulae on spheres and on simplices
• Variational discretization of elliptic boundary value problems.
• Approximation on simplices with respect to weighted Sobolev norms
• Spectral element methods on unstructured meshes: comparisons and recent advances
• Optimal spectral-Galerkin methods using generalized Jacobi polynomials
• An Algorithm for Computing Fekete Points in the Triangle
• 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
• 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
• High-Order Methods for Incompressible Fluid Flow
• A new triangular and tetrahedral basis for high‐order (hp) finite element methods
• Spectral Methods
• Spectral/hp Element Methods for Computational Fluid Dynamics
• Spectral schemes on triangular elements