Spectral Element Methods on Simplicial Meshes

DOI10.1007/978-3-319-01601-6_3zbMath1282.65157OpenAlexW2224727351MaRDI QIDQ5745769

Francesca Rapetti, Richard Pasquetti

Publication date: 31 January 2014

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-01601-6_3

zbMATH Keywords

spectral element methodnumerical examplesSchur complement\(p\)-multigrid solver

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation ⋮ A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the generation of symmetric Lebesgue-like points in the triangle
• Dispersion analysis of triangle-based spectral element methods for elastic wave propagation
• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Bounding the Lebesgue function for Lagrange interpolatin in a simplex
• Neumann-Neumann-Schur complement methods for Fekete spectral elements
• Aliasing errors due to quadratic nonlinearities on triangular spectral /\(hp\) element discretisations
• A diagonal-mass-matrix triangular-spectral-element method based on cubature points
• An explicit construction of interpolation nodes on the simplex
• Spectral element multigrid. II: Theoretical justification
• Polymorphic nodal elements and their application in discontinuous Galerkin methods
• Spectral element multigrid. I: Formulation and numerical results
• Spectral methods on triangles and other domains
• The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• An encyclopaedia of cubature formulas.
• De-aliasing on non-uniform grids: algorithms and applications.
• Advances in multidimensional integration
• Spectral element methods on triangles and quadrilaterals: Comparisons and applications
• Spectral approximation of partial differential equations in highly distorted domains
• Spectral element methods on unstructured meshes: Which interpolation points?
• Benchmark spectral results on the lid-driven cavity flow
• Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
• Spectral element methods on unstructured meshes: comparisons and recent advances
• An Algorithm for Computing Fekete Points in the Triangle
• Tensor product Gauss-Lobatto points are Fekete points for the cube
• A New Spectral Method on Triangles
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Overlapping Schwarz Methods for Fekete and Gauss–Lobatto Spectral Elements
• From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
• Stable Spectral Methods on Tetrahedral Elements
• High-Order Methods for Incompressible Fluid Flow
• A Lobatto interpolation grid over the triangle
• Spectral Methods
• A Lobatto interpolation grid in the tetrahedron

This page was built for publication: Spectral Element Methods on Simplicial Meshes