DOI10.1017/CBO9780511546792zbMath1007.76001OpenAlexW2969262004MaRDI QIDQ4547371
Michel O. Deville, Ernest Mund, Paul F. Fischer
Publication date: 21 August 2002
Full work available at URL: https://doi.org/10.1017/cbo9780511546792
Bandwidth truncation for Chebyshev polynomial and ultraspherical/Chebyshev Galerkin discretizations of differential equations: restrictions and two improvements ⋮
High order semi-Lagrangian methods for the incompressible Navier-Stokes equations ⋮
High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy ⋮
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations ⋮
A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements ⋮
A fast spectral element solver combining static condensation and multigrid techniques ⋮
A Multilevel Multiscale Finite-Volume Method ⋮
Dispersive behaviour of high order finite element schemes for the one-way wave equation ⋮
A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations ⋮
Least-squares spectral method for solving advective population balance problems ⋮
A parallel time-space least-squares spectral element solver for incompressible flow problems ⋮
Neumann-Neumann-Schur complement methods for Fekete spectral elements ⋮
On instability characteristics of isolated vortices and models of trailing-vortex systems ⋮
Computational performance of a parallelized three-dimensional high-order spectral element toolbox ⋮
Simulation of flows of viscoelastic fluids at high Weissenberg number using a filter-based stabilization of the spectral element method ⋮
Formulation of a Galerkin spectral element--Fourier method for three-dimensional incompressible flows in cylindrical geometries ⋮
A new triangular spectral element method. I: Implementation and analysis on a triangle ⋮
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media ⋮
A coupled approximate deconvolution and dynamic mixed scale model for large eddy simulation ⋮
A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows ⋮
Stabilization of the spectral element method in convection dominated flows by recovery of skew-symmetry ⋮
Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows ⋮
An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid ⋮
A spectral element method to price European options. I. Single asset with and without jump diffusion ⋮
A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains ⋮
Horizontal large eddy simulation of stratified mixing in a lock-exchange system ⋮
The least squares spectral element method for the Cahn-Hilliard equation ⋮
Finite element preconditioning on spectral element discretizations for coupled elliptic equations ⋮
A numerical study of the Whitham equation as a model for steady surface water waves ⋮
Analysis of communication costs for domain decomposed Monte Carlo methods in nuclear reactor analysis ⋮
Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations ⋮
A new compact difference scheme for second derivative in non-uniform grid expressed in self-adjoint form ⋮
High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods ⋮
To CG or to HDG: A comparative study ⋮
Space-time adaptive simulations for unsteady Navier-Stokes problems ⋮
Transitional cylindrical swirling flow in presence of a flat free surface ⋮
An experimental and numerical study of the structure and stability of laminar opposed-jet flows ⋮
A new method preserving the positive definiteness of a second order tensor variable in flow simulations with application to viscoelastic turbulence ⋮
A numerical strategy to combine high-order schemes, complex geometry and parallel computing for high resolution DNS of fractal generated turbulence ⋮
Advances and challenges of applied large eddy simulation ⋮
Numerical simulation of steady planar die swell for a Newtonian fluid using the spectral element method ⋮
Finite difference methods for viscous incompressible global stability analysis ⋮
Non-conforming high order approximations of the elastodynamics equation ⋮
A prolate-element method for nonlinear PDEs on the sphere ⋮
Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes ⋮
A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral elements ⋮
On the generation of symmetric Lebesgue-like points in the triangle ⋮
A spectral finite element approach to modeling soft solids excited with high-frequency harmonic loads ⋮
Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis ⋮
A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations ⋮
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains ⋮
Mass and momentum conservation of the least-squares spectral collocation method for the Navier-Stokes equations ⋮
Efficient enforcement of far-field boundary conditions in the transformed field expansions method ⋮
Periodic and localized states in natural doubly diffusive convection ⋮
Variable density and viscosity, miscible displacements in capillary tubes ⋮
A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations ⋮
Stokes eigenmodes in cubic domain: primitive variable and lattice Boltzmann formulations ⋮
A pseudo-penalization method for high Reynolds number unsteady flows ⋮
Constructive spectral approaches for the Helmholtz decomposition of a vector field ⋮
Solution of moving-boundary problems by the spectral element method ⋮
A new \(hp\) method for the \(-\mathrm{grad}(\mathrm{div})\) operator in non-Cartesian geometries ⋮
Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable ⋮
Effective numerical viscosity in spectral multidomain penalty method-based simulations of localized turbulence ⋮
Prediction of the evolution of the dispersed phase in bubbly flow problems ⋮
GPU accelerated spectral finite elements on all-hex meshes ⋮
A high order Discontinuous Galerkin Finite Element solver for the incompressible Navier-Stokes equations ⋮
Towards the development of an \(h\)-\(p\)-refinement strategy based upon error estimate sensitivity ⋮
High performance computing for partial differential equations ⋮
High accuracy flow simulations: advances and challenges for future needs in aeronautics ⋮
Spectral element solutions for the \(P_{N}\) neutron transport equations ⋮
Spectral element predictions of die-swell for Oldroyd-B fluids ⋮
Stability analysis in spanwise-periodic double-sided lid-driven cavity flows with complex cross-sectional profiles ⋮
From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers ⋮
Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods ⋮
Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media ⋮
Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations ⋮
Spectral element methods for transient viscoelastic flow problems ⋮
A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence ⋮
Entropy viscosity method for nonlinear conservation laws ⋮
Particle transport modeling in pulmonary airways with high-order elements ⋮
Simulation of a natural circulation loop using a least squares \(hp\)-adaptive solver ⋮
From \(h\) to \(p\) efficiently: implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations ⋮
Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling ⋮
Boundary layer transition over a concave surface caused by centrifugal instabilities ⋮
Numerical assessment of a class of uniformly stable mixed spectral elements for the Navier-Stokes equations ⋮
A compatible and conservative spectral element method on unstructured grids ⋮
A stabilised nodal spectral element method for fully nonlinear water waves ⋮
Stabilization of numerical interchange in spectral-element magnetohydrodynamics ⋮
Fourier-spectral element approximation of the ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration ⋮
Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the antarctic ice sheet ⋮
A spectral finite volume transport scheme on the cubed sphere ⋮
A WENO-limited, ADER-DT, finite-volume scheme for efficient, robust, and communication-avoiding multi-dimensional transport ⋮
Dealiasing techniques for high-order spectral element methods on regular and irregular grids ⋮
A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations ⋮
Radial collocation methods for the onset of convection in rotating spheres ⋮
Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes ⋮
Adjoint pseudospectral least-squares methods for an elliptic boundary value problem ⋮
Variational multiscale turbulence modelling in a high-order spectral element method ⋮
Legendre spectral methods for the -grad (div) operator with free boundary conditions ⋮
A spectral Galerkin method for the coupled Orr-Sommerfeld and induction equations for free-surface MHD ⋮
Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability. ⋮
A new analysis of Galerkin Legendre spectral methods for coupled hyperbolic/parabolic system arising in unsteady MHD flow of Maxwell fluid and numerical simulation ⋮
Direct numerical simulation of the effect of inlet isotropic turbulence on centrifugal instabilities over a curved wall ⋮
A spectral deferred correction method for incompressible flow with variable viscosity ⋮
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations ⋮
Multirate timestepping for the incompressible Navier-Stokes equations in overlapping grids ⋮
Improving accuracy of volume penalised fluid-solid interactions ⋮
Viscous and hyperviscous filtering for direct and large-eddy simulation ⋮
Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term ⋮
A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation ⋮
Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms ⋮
Measuring and improving the geometric accuracy of piece-wise polynomial boundary meshes ⋮
A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials ⋮
Temporal large eddy simulation with lattice Boltzmann methods ⋮
Stokes eigenmodes in square domain and the stream function-vorticity correlation ⋮
Applying Bayesian optimization with Gaussian process regression to computational fluid dynamics problems ⋮
A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics ⋮
Topology optimization of unsteady flows using the spectral element method ⋮
T-shaped micromixers aligned in a row: characterization of the engulfment regime ⋮
A spectral-element discontinuous Galerkin lattice Boltzmann method for simulating natural convection heat transfer in a horizontal concentric annulus ⋮
Algebraic tailoring of discontinuous Galerkin \(p\)-multigrid for convection ⋮
Multidomain, sparse, spectral-tau method for helically symmetric flow ⋮
A Legendre spectral element method for the family of regularized long wave equations ⋮
A new hybrid adaptive mesh algorithm based on Voronoi tessellations and equi-distribution principle: algorithms and numerical experiments ⋮
Spectral/hp element methods for plane Newtonian extrudate swell ⋮
Two-level parallelization of a fluid mechanics algorithm exploiting hardware heterogeneity ⋮
Dynamics of tandem cylinders in the vicinity of a plane moving wall ⋮
A post-processing technique for stabilizing the discontinuous pressure projection operator in marginally-resolved incompressible inviscid flow ⋮
A high-order flux reconstruction/correction procedure via reconstruction formulation for unsteady incompressible flow on unstructured moving grids ⋮
High-order visualization of three-dimensional Lagrangian coherent structures with DG-FTLE ⋮
Implicit-explicit and explicit projection schemes for the unsteady incompressible Navier-Stokes equations using a high-order dG method ⋮
Simulations of radiation hydrodynamics and radiative magnetohydrodynamics by collocation spectral methods ⋮
Stability and instability of hydromagnetic Taylor-Couette flows ⋮
Optimal error analysis of the spectral element method for the 2D homogeneous wave equation ⋮
A preconditioning strategy for linear systems arising from nonsymmetric schemes in isogeometric analysis ⋮
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis ⋮
Legendre spectral element method with nearly incompressible materials ⋮
Linear disturbances in the rotating-disk flow: a comparison between results from simulations, experiments and theory ⋮
Numerical investigation of the interaction between laminar to turbulent transition and the wake of an airfoil ⋮
Robust multigrid for high-order discontinuous Galerkin methods: a fast Poisson solver suitable for high-aspect ratio Cartesian grids ⋮
A multi-moment constrained finite volume method on arbitrary unstructured grids for incompressible flows ⋮
On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics ⋮
High-order matrix-free incompressible flow solvers with GPU acceleration and low-order refined preconditioners ⋮
Spectral approximation of partial differential equations in highly distorted domains ⋮
A new spectral element method for pricing European options under the Black-Scholes and Merton jump diffusion models ⋮
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics ⋮
Direct numerical simulation of rotating ellipsoidal particles using moving nonconforming Schwarz-spectral element method ⋮
A matrix-free hyperviscosity formulation for high-order ALE hydrodynamics ⋮
Factorizing the factorization -- a spectral-element solver for elliptic equations with linear operation count ⋮
High-order perturbation of surfaces algorithms for the simulation of localized surface plasmon resonances in graphene nanotubes ⋮
A high-order perturbation of surfaces method for scattering of linear waves by periodic multiply layered gratings in two and three dimensions ⋮
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations ⋮
A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow ⋮
Application of spectral element method for solving Sobolev equations with error estimation ⋮
High order \(C^0\)-continuous Galerkin schemes for high order PDEs, conservation of quadratic invariants and application to the Korteweg-de Vries model ⋮
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation ⋮
De-aliasing on non-uniform grids: algorithms and applications. ⋮
An efficient solver for space-time isogeometric Galerkin methods for parabolic problems ⋮
Spectral element methods on unstructured meshes: Which interpolation points? ⋮
MFEM: a modular finite element methods library ⋮
Global spectral analysis of multi-level time integration schemes: numerical properties for error analysis ⋮
Modal spectral element method in curvilinear domains ⋮
Robust isogeometric preconditioners for the Stokes system based on the fast diagonalization method ⋮
NURBS-SEM: a hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces ⋮
Explicit second order isogeometric discretizations for acoustic wave problems ⋮
Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods ⋮
Numerical simulation of three-dimensional Lee waves behind an isolated hill ⋮
An efficient iterative method for solving multiple scattering in locally inhomogeneous media ⋮
A characteristic-based spectral element method for moving-domain problems ⋮
A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings ⋮
Impact and importance of hyperdiffusion on the spectral element method: a linear dispersion analysis ⋮
Double-grid quadrature with interpolation-projection (DoGIP) as a novel discretisation approach: an application to FEM on simplexes ⋮
Nonlinear operator integration factor splitting for the shallow water equations ⋮
An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point ⋮
Seamless integration of elliptic Dirichlet-to-Neumann boundary condition and high order spectral element method for scattering problem ⋮
A space-time fully decoupled wavelet Galerkin method for solving two-dimensional Burgers' equations ⋮
Large eddy simulation of the differentially heated cubic cavity flow by the spectral element method ⋮
A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers ⋮
Algebraic multigrid for higher-order finite elements ⋮
Matrix-free multigrid solvers for phase-field fracture problems ⋮
Improved Lebesgue constants on the triangle ⋮
Nonlinear optimal large-scale structures in turbulent channel flow ⋮
High-order perturbation of surfaces algorithms for the simulation of localized surface plasmon resonances in two dimensions ⋮
Spectral domain embedding for elliptic PDEs in complex domains ⋮
Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach ⋮
SAV method applied to fractional Allen-Cahn equation ⋮
Force and torque model sensitivity and coarse graining for bedload-dominated sediment transport ⋮
Finite difference/spectral element method for one and two-dimensional Riesz space fractional advection-dispersion equations ⋮
Fast barycentric-based evaluation over spectral/\textit{hp} elements ⋮
High-order methods and numerical boundary conditions ⋮
Legendre spectral methods for the - grad(div) operator ⋮
BDDC and FETI-DP preconditioners for spectral element discretizations ⋮
Adjoint-based optimal control of incompressible flows with convective-like energy-stable open boundary conditions ⋮
Time-property least-squares spectral method for population balance equations ⋮
An application of domain decomposition methods with non-conforming spectral element/Fourier expansions for the incompressible Navier-Stokes equations ⋮
Application of mortar elements to diffuse-interface methods ⋮
A hybridizable discontinuous triangular spectral element method on unstructured meshes and its \textit{hp}-error estimates ⋮
An efficient time-dependent auxiliary variable approach for the three-phase conservative Allen-Cahn fluids ⋮
Accelerating high-order mesh optimization using finite element partial assembly on GPUs ⋮
Solution of space-time tempered fractional diffusion-wave equation using a high-order numerical method ⋮
A novel ADI Galerkin spectral element method for the solution of two-dimensional time fractional subdiffusion equation ⋮
Spatially localized states in natural doubly diffusive convection ⋮
Global mode analysis of axisymmetric bluff-body wakes: Stabilization by base bleed ⋮
Stable, high-order computation of impedance–impedance operators for three-dimensional layered medium simulations ⋮
CFD application to oceanic mixed layer sampling with Lagrangian platforms ⋮
Low-Order Preconditioning of High-Order Triangular Finite Elements ⋮
Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves ⋮
The fluid dynamics of propagating fronts with solutal and thermal coupling ⋮
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes ⋮
Unnamed Item ⋮
Fourier continuation method for incompressible fluids with boundaries ⋮
A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier–Stokes equations ⋮
A highly efficient variant of scalar auxiliary variable (SAV) approach for the phase-field fluid-surfactant model ⋮
Numerical and theoretical discussions for solving nonlinear generalized Benjamin–Bona–Mahony–Burgers equation based on the Legendre spectral element method ⋮
Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media ⋮
Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators ⋮
Local element operations for curved simplex meshes ⋮
Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows ⋮
Towards pseudo-spectral incompressible smoothed particle hydrodynamics (ISPH) ⋮
Highly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid system ⋮
Linear instability of low Reynolds number massively separated flow around three NACA airfoils ⋮
Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction ⋮
Inertial wave super-attractor in a truncated elliptic cone ⋮
Coulomb-driven electroconvection turbulence in two-dimensional cavity ⋮
Linear energy-stable method with correction technique for the Ohta-Kawasaki-Navier-Stokes model of incompressible diblock copolymer melt ⋮
Optimal bursts in turbulent channel flow ⋮
Recent Developments in Spectral Element Simulations of Moving-Domain Problems ⋮
The Target-Matrix Optimization Paradigm for High-Order Meshes ⋮
A high-order perturbation of envelopes (HOPE) method for scattering by periodic inhomogeneous media ⋮
Turbulent convection for different thermal boundary conditions at the plates ⋮
The role of bed-penetrating Kelvin–Helmholtz vortices on local and instantaneous bedload sediment transport ⋮
Vortex cluster arising from an axisymmetric inertial wave attractor ⋮
Variations on Hermite Methods for Wave Propagation ⋮
Mean flow structure and velocity–bed shear stress maxima phase difference in smooth wall, transitionally turbulent oscillatory boundary layers: direct numerical simulations ⋮
Chaotic dynamics in premixed hydrogen/air channel flow combustion ⋮
Stability of planar buoyant jets in stratified fluids ⋮
Spatially localized binary fluid convection in a porous medium ⋮
Efficient visualization of high-order finite elements ⋮
Spectral Element Methods on Simplicial Meshes ⋮
Towards a High Order Fourier-SEM Solver of Fluid Models in Tokamaks ⋮
On the effects of a compressible viscous lubricant on the load‐bearing capacity of a journal bearing ⋮
Linear instability analysis of low-pressure turbine flows ⋮
Computing stationary free-surface shapes in microfluidics ⋮
Energy distribution in nonaxisymmetric magnetic Taylor‐Couette flow ⋮
A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers ⋮
Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators ⋮
Stratorotational instability in Taylor–Couette flow heated from above ⋮
A high-order element-based Galerkin method for the barotropic vorticity equation ⋮
A consistent splitting scheme for unsteady incompressible viscous flows I. Dirichlet boundary condition and applications ⋮
A discrete splitting finite element method for numerical simulations of incompressible Navier-Stokes flows ⋮
Detecting instabilities in flows of viscoelastic fluids ⋮
Space–time least–squares isogeometric method and efficient solver for parabolic problems ⋮
Temporal dynamics of large-scale structures for turbulent Rayleigh–Bénard convection in a moderate aspect-ratio cylinder ⋮
Stability and sensitivity of a cross-flow-dominated Falkner–Skan–Cooke boundary layer with discrete surface roughness ⋮
Characteristics of a precessing flow under the influence of a convecting temperature field in a spheroidal shell ⋮
Global and local statistics in turbulent convection at low Prandtl numbers ⋮
Roughness-induced transition by quasi-resonance of a varicose global mode ⋮
Boundary layer fluctuations in turbulent Rayleigh–Bénard convection ⋮
A New Compact Scheme in Exponential Form for Two-Dimensional Time-Dependent Burgers’ and Navier-Stokes Equations ⋮
Mean velocity and temperature profiles in turbulent Rayleigh–Bénard convection at low Prandtl numbers ⋮
Dynamics of rapidly depressurized multiphase shock tubes ⋮
Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators ⋮
Scalable Low-Order Finite Element Preconditioners for High-Order Spectral Element Poisson Solvers ⋮
Initial Guesses for Sequences of Linear Systems in a GPU-Accelerated Incompressible Flow Solver ⋮
Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions ⋮
Dynamically adaptive spectral-element simulations of 2D incompressible Navier–Stokes vortex decays ⋮
Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis ⋮
Open boundary conditions for the velocity-correction scheme of the Navier-Stokes equations ⋮
Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains ⋮
Incompact3d: A powerful tool to tackle turbulence problems with up to O(105) computational cores ⋮
A versatile incompressible Navier–Stokes solver for blood flow application ⋮
On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem ⋮
Stabilisation of spectral/\(hp\) element methods through spectral vanishing viscosity: Application to fluid mechanics modelling ⋮
A spectral method for fourth-order mixed inhomogeneous boundary value problem in three dimensions ⋮
Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES ⋮
Solution of Nonlinear Stokes Equations Discretized By High-Order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics ⋮
Hydrodynamic and thermodiffusive instability effects on the evolution of laminar planar lean premixed hydrogen flames ⋮
An efficient direct parallel spectral-element solver for separable elliptic problems ⋮
High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster ⋮
A spectral-element/finite-element analysis of a ship-like structure subjected to an underwater explosion ⋮
Application of an elastoplastic spectral-element method to 3D slope stability analysis ⋮
Generalized Clenshaw-Curtis quadrature rule with application to a collocation least-squares method ⋮
Implicit spectral element methods and Neumann-Neumann preconditioners for acoustic waves ⋮
Simulation of high-Reynolds number vascular flows ⋮
Comparison of multigrid algorithms for high‐order continuous finite element discretizations ⋮
Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem ⋮
Variational integrators for nonvariational partial differential equations ⋮
Nonuniformly weighted Schwarz smoothers for spectral element multigrid ⋮
A spectral element method with transparent boundary condition for periodic layered media scattering ⋮
Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation ⋮
A fourth-order accurate adaptive solver for incompressible flow problems ⋮
A Comparison of High Order Interpolation Nodes for the Pyramid ⋮
Totally decoupled implicit-explicit linear scheme with corrected energy dissipation law for the phase-field fluid vesicle model ⋮
Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics ⋮
STABILIZED DISCONTINUOUS GALERKIN METHODS FOR FLOW–SOUND INTERACTION ⋮
Non-hydrostatic unified model of the ocean with application to ice/ocean interaction modeling ⋮
A collocatedC0finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics ⋮
Optimization of a regularized distortion measure to generate curved high-order unstructured tetrahedral meshes ⋮
A distortion measure to validate and generate curved high-order meshes on CAD surfaces with independence of parameterization ⋮
Mesh smoothing for the spectral element method ⋮
Modal laminar-turbulent transition delay by means of topology optimization of superhydrophobic surfaces ⋮
Numerical dissipation vs. subgrid-scale modelling for large eddy simulation ⋮
Vertical discretization with finite elements for a global hydrostatic model on the cubed sphere ⋮
Wall-pressure fluctuations of laminar separation bubble based on direct numerical simulation and experiments over a hydrofoil at \(\mathrm{Re}=450,000\) ⋮
A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection ⋮
Least‐squares spectral element method applied to the Euler equations ⋮
Unconditionally stable numerical scheme for natural convection problems ⋮
\textit{Semtex}: a spectral element-Fourier solver for the incompressible Navier-Stokes equations in cylindrical or Cartesian coordinates ⋮
A systematic study of the grid requirements for a spectral element method solver ⋮
Computational framework for efficient high-fidelity optimization of bio-inspired propulsion and its application to accelerating swimmers ⋮
An efficient high-order time integration method for spectral-element discontinuous Galerkin simulations in electromagnetics ⋮
Toroidal field instability and eddy viscosity in Taylor-Couette flows ⋮
Large-eddy simulation of the flow in a lid-driven cubical cavity ⋮
INFLUENCE OF PENALIZATION AND BOUNDARY TREATMENT ON THE STABILITY AND ACCURACY OF HIGH-ORDER DISCONTINUOUS GALERKIN SCHEMES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS ⋮
Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode ⋮
Simulating hydrostatic and non-hydrostatic oceanic flows ⋮
Moving overlapping grid methodology of spectral accuracy for incompressible flow solutions around rigid bodies in motion ⋮
Scaling to the stars -- a linearly scaling elliptic solver for \(p\)-multigrid ⋮
On mass conservation and solvability of the discretized variable-density zero-Mach Navier-Stokes equations ⋮
Finite Element Analysis in Fluid Mechanics ⋮
Legendre spectral finite elements for structural dynamics analysis ⋮
Imposing Boundary Conditions to Match a CAD Virtual Geometry for the Mesh Curving Problem ⋮
A New Spectral Method on Triangles ⋮
High Order Polynomial Interpolation of Parameterized Curves ⋮
A Two-Dimensional DG-SEM Approach to Investigate Resonance Frequencies and Sound Radiation of Woodwind Instruments ⋮
Post-Processing of Marginally Resolved Spectral Element Data ⋮
The discontinuous Galerkin method: derivation and properties ⋮
High-performance implementation of discontinuous Galerkin methods with application in fluid flow ⋮
Numerical solution of two and three dimensional time fractional damped nonlinear Klein-Gordon equation using ADI spectral element method ⋮
The Taylor-Green vortex as a benchmark for high-fidelity combustion simulations using low-Mach solvers ⋮
On numerical uncertainties in scale-resolving simulations of canonical wall turbulence ⋮
Parallel spectral-element direction splitting method for incompressible Navier-Stokes equations ⋮
Direct minimization of the least-squares spectral element functional. I: Direct solver ⋮
Filtering in Legendre spectral methods ⋮
\(hp\)-adaptive least squares spectral element method for population balance equations ⋮
Exact calculation of Fourier series in nonconforming spectral-element methods ⋮
Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): object-oriented \(h\)-adaptive fluid dynamics simulation ⋮
Fourier spectral simulations and Gegenbauer reconstructions for electromagnetic waves in the presence of a metal nanoparticle ⋮
A Legendre spectral element model for sloshing and acoustic analysis in nearly incompressible fluids ⋮
A superposition-based parallel discrete operator splitting method for incompressible flows ⋮
Spectral vanishing viscosity method for large eddy simulation of turbulent flows ⋮
Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem ⋮
Fluid-structure interaction by the spectral element method ⋮
Direct numerical simulation in a lid-driven cubical cavity at high Reynolds number by a Chebyshev spectral method ⋮
On a stable spectral method for the grad(div) eigenvalue problem ⋮
Large eddy simulation of the lid-driven cubic cavity flow by the spectral element method ⋮
Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves ⋮
Mesh update techniques for free-surface flow solvers using spectral element method ⋮
MODIFIED VIRTUAL CRACK-CLOSURE TECHNIQUE USING SPECTRAL ELEMENT METHOD ⋮
Numerical calculation of the moments of the population balance equation ⋮
An explicit second order spectral element method for acoustic waves ⋮
Adaptive mesh refinement for steady flows in Nek5000 ⋮
Efficient high-order spectral element discretizations for building block operators of CFD ⋮
A super-compact higher order scheme for the unsteady 3D incompressible viscous flows ⋮
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation ⋮
A \(hk\) mortar spectral element method for the \(p\)-Laplacian equation ⋮
Three-dimensional simulations of premixed hydrogen/air flames in microtubes ⋮
Hierarchical Preconditioners for High-Order FEM ⋮
Fast iterative solver for convection-diffusion systems with spectral elements ⋮
FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube ⋮
A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation ⋮
Large-eddy simulation of compressible flows using a spectral multidomain method ⋮
Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation ⋮
Nonlinear artificial viscosity for spectral element methods ⋮
Nonconforming Schwarz-spectral element methods for incompressible flow ⋮
Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods