Dispersion analysis of the spectral element method using a triangular mesh
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Publication:526498
DOI10.1016/j.wavemoti.2012.01.003zbMath1360.74155OpenAlexW2079615698WikidataQ60703528 ScholiaQ60703528MaRDI QIDQ526498
Mrinal K. Sen, Tianyue Hu, Jonas D. De Basabe, Tao Liu, Lin Li
Publication date: 15 May 2017
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0165212512000042
Spectral and related methods applied to problems in solid mechanics (74S25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Waves in solid mechanics (74Jxx)
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Cites Work
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- A nodal triangle-based spectral element method for the shallow water equations on the sphere
- Dispersion analysis of 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
- A diagonal-mass-matrix triangular-spectral-element method based on cubature points
- An explicit construction of interpolation nodes on the simplex
- Spectral methods on triangles and other domains
- Spurious modes in finite-element discretizations of the wave equation may not be all that bad
- Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
- A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
- A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements
- Spectral element methods on triangles and quadrilaterals: Comparisons and applications
- Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers
- 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
- Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
- HIGHER-ORDER MASS-LUMPED FINITE ELEMENTS FOR THE WAVE EQUATION
- On the Existence of Explicit $hp$-Finite Element Methods Using Gauss–Lobatto Integration on the Triangle
- Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
- Basis Functions for Triangular and Quadrilateral High-Order Elements
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
- A Lobatto interpolation grid over the triangle
- Spectral/hp Element Methods for Computational Fluid Dynamics
