Edge Functions for Spectral Element Methods
From MaRDI portal
Publication:2998525
DOI10.1007/978-3-642-15337-2_17zbMath1216.65168OpenAlexW111618586MaRDI QIDQ2998525
Publication date: 18 May 2011
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_17
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics ⋮ A hybrid mimetic spectral element method for three-dimensional linear elasticity problems ⋮ Low-Order Preconditioning for the High-Order Finite Element de Rham Complex ⋮ Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere ⋮ A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations. I: Periodic domains ⋮ A spectral mimetic least-squares method ⋮ A mimetic spectral element solver for the Grad-Shafranov equation ⋮ A fast matrix-free approach to the high-order control volume finite element method with application to low-Mach flow ⋮ Variational framework for structure-preserving electromagnetic particle-in-cell methods ⋮ Restoration of the product consumption rate with integral cubic smoothing spline, study of the best smoothing parameter choice ⋮ Use of algebraic dual spaces in domain decomposition methods for Darcy flow in 3D domains ⋮ A broken FEEC framework for electromagnetic problems on mapped multipatch domains ⋮ Construction and application of an algebraic dual basis and the fine-scale Greens' function for computing projections and reconstructing unresolved scales ⋮ Discrete conservation properties for shallow water flows using mixed mimetic spectral elements ⋮ \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction ⋮ Operator-adapted wavelets for finite-element differential forms ⋮ A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere ⋮ Spectral Mimetic Least-Squares Method for Div-curl Systems ⋮ Spectral Mimetic Least-Squares Methods on Curvilinear Grids ⋮ A Conservative Spectral Element Method for Curvilinear Domains ⋮ A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere ⋮ A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition ⋮ The Geometric Basis of Numerical Methods ⋮ High Order Methods with Exact Conservation Properties ⋮ Mimetic Spectral Element Advection ⋮ Mixed Mimetic Spectral Element Method Applied to Darcy’s Problem ⋮ A Geometric Approach Towards Momentum Conservation ⋮ Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems ⋮ The chain collocation method: a spectrally accurate calculus of forms ⋮ Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms ⋮ High order geometric methods with exact conservation properties ⋮ Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes ⋮ Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis ⋮ Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra ⋮ The discrete Steklov-Poincaré operator using algebraic dual polynomials ⋮ Spectral Equivalence of Low-Order Discretizations for High-Order H(curl) and H(div) Spaces ⋮ Algorithm 1023: Restoration of Function by Integrals with Cubic Integral Smoothing Spline in R
Cites Work
- An analysis of finite-difference and finite-volume formulations of conservation laws
- Discrete Poincaré lemma
- Differential forms. With applications to the physical sciences
- A Conservative Spectral Element Method for Curvilinear Domains
- Least-Squares Spectral Element Method on a Staggered Grid
- Mimetic Least-Squares Spectral/hp Finite Element Method for the Poisson Equation
- Finite Volume Methods for Hyperbolic Problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Edge Functions for Spectral Element Methods