scientific article; zbMATH DE number 5179816
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Publication:5756148
zbMath1134.65068MaRDI QIDQ5756148
Timothy Warburton, Jan S. Hesthaven
Publication date: 16 August 2007
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
algorithmsstabilityNavier-Stokes equationstextbookEuler equationHelmholtz equationnonlinear conservation lawsgas dynamicsMaxwell's equationwave problemsMATLAB codesDiscontinuous Galerkin finite element method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Navier-Stokes equations for incompressible viscous fluids (76D05) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order hyperbolic equations (35L15) Packaged methods for numerical algorithms (65Y15)
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II, Hybrid Fourier pseudospectral/discontinuous Galerkin time-domain method for wave propagation, A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow, An interior penalty stabilised incompressible discontinuous Galerkin-Fourier solver for implicit large eddy simulations, The analysis of a FETI-DP preconditioner for a full DG discretization of elliptic problems in two dimensions, Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes, A graph-theoretic-based method for analyzing conduction problems, A high-order discontinuous Galerkin method for 1D wave propagation in a nonlinear heterogeneous medium, Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows, Discontinuous Galerkin algorithms for fully kinetic plasmas, Stable, non-dissipative, and conservative flux-reconstruction schemes in split forms, Local discontinuous Galerkin methods for fractional ordinary differential equations, Computing gravity-driven viscous fingering in complex subsurface geometries: a high-order discontinuous Galerkin approach, Revisit of dilation-based shock capturing for discontinuous Galerkin methods, Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations, A conjugate heat transfer analysis of a triangular finned annulus based on DG-FEM, The time-fractional diffusion inverse problem subject to an extra measurement by a local discontinuous Galerkin method, Truncation error estimation in the p-anisotropic discontinuous Galerkin spectral element method, \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes, A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods, An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell's equations in metamaterials, High-order accurate thin layer approximations for time-domain electromagnetics. II: Transmission layers, From \(h\) to \(p\) efficiently: implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations, Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics, The finite element method with continuity constraints for stair-step grids in geoscience, A stabilised nodal spectral element method for fully nonlinear water waves, GPU-accelerated discontinuous Galerkin methods on hybrid meshes, A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes, Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations, A triangular discontinuous Galerkin method for non-Newtonian implicit constitutive models of rarefied and microscale gases, Discontinuous Galerkin methods for solving Boussinesq-Green-Naghdi equations in resolving non-linear and dispersive surface water waves, Introducing a new kinetic model which admits an H-theorem for simulating the nearly incompressible fluid flows, High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling, High-order flux correction/finite difference schemes for strand grids, High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation, Bound-preserving discontinuous Galerkin methods for conservative phase space advection in curvilinear coordinates, Artificial boundary layers in discontinuous Galerkin solutions to shallow water equations in channels, Hybridizable discontinuous Galerkin projection methods for Navier-Stokes and Boussinesq equations, Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction, A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation, A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids, Polymorphic nodal elements and their application in discontinuous Galerkin methods, Discontinuous Galerkin solver for the shallow-water equations in covariant form on the sphere and the ellipsoid, Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method, Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism, Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks, Local discontinuous Galerkin method for nonlinear time-space fractional subdiffusion/superdiffusion equations, First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: model derivation and realizability theory, A dynamically load-balanced parallel \(p\)-adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation, A new norm and stability condition for tensor product flux reconstruction schemes, Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems, An arbitrary-order cell method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations, Unconditionally stable and parallel discontinuous Galerkin solver, A \(p\)-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids, A large eddy simulation method for DGSEM using non-linearly optimized relaxation filters, A spectral deferred correction method for incompressible flow with variable viscosity, High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: scalable SSDC algorithms and flow solver, On pixel-exact rendering for high-order mesh and solution, Preface to focused issue on discontinuous Galerkin methods, A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification, Spectral approximation of partial differential equations in highly distorted domains, Investigation on polynomial integrators for time-domain electromagnetics using a high-order discontinuous Galerkin method, Numerical study of the plasma-Lorentz model in metamaterials, On the connection between the correction and weighting functions in the correction procedure via reconstruction method, New locally conservative finite element methods on a rectangular mesh, Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012, Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations, Characteristic modal shock detection for discontinuous finite element methods, Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation, An energy conservative \(hp\)-method for Liouville's equation of geometrical optics, A multivariate version of Hammer's inequality and its consequences in numerical integration, Modal spectral element method in curvilinear domains, An analysis of stability of the flux reconstruction formulation on quadrilateral elements for the linear advection-diffusion equation, High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes, An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form, Smoothing algorithm for stabilization of the material point method for fluid-solid interaction problems, Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods, High-order discontinuous Galerkin methods for coastal hydrodynamics applications, A high-order discontinuous Galerkin approach to the elasto-acoustic problem, Simultaneous approximation terms for multi-dimensional summation-by-parts operators, Time-local discretization of fractional and related diffusive operators using Gaussian quadrature with applications, Very high order discontinuous Galerkin method in elliptic problems, An implicit dual-time stepping high-order nodal discontinuous Galerkin method for solving incompressible flows on triangle elements, A space-time discontinuous Galerkin spectral element method for the Stefan problem, Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods, A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings, A hybrid discontinuous Galerkin scheme for multi-scale kinetic equations, Three time integration methods for incompressible flows with discontinuous Galerkin Boltzmann method, Energy analysis and discretization of nonlinear impedance boundary conditions for the time-domain linearized Euler equations, An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs, High-order multi-dimensional limiting strategy with subcell resolution. I: Two-dimensional mixed meshes, Lattice Boltzmann simulations on irregular grids: introduction of the NATriuM library, Optimal control for electromagnetic cloaking metamaterial parameters design, On the identification of symmetric quadrature rules for finite element methods, A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms, FESTUNG: A~MATLAB/GNU~Octave~toolbox for the discontinuous Galerkin method. I: Diffusion operator, Mortar formulation for a class of staggered discontinuous Galerkin methods, Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations, An analysis of solution point coordinates for flux reconstruction schemes on tetrahedral elements, Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity, Numerical simulation of EHD flows using discontinuous Galerkin finite element methods, A CFD/CAA coupling method applied to jet noise prediction, Time-domain finite element method and analysis for modeling of surface plasmon polaritons, Spatio-stochastic adaptive discontinuous Galerkin methods, Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations, Analytical preconditioners for Neumann elastodynamic boundary element methods, Metrics for performance quantification of adaptive mesh refinement, Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions, Non-intrusive reduced-order modeling of parameterized electromagnetic scattering problems using cubic spline interpolation, Numerical integration using integrals over hyperplane sections of simplices in a triangulation of a polytope, An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions, Keller-Segel chemotaxis models: a review, \(P_0\) time/space subcell limiting DG-DGLM method for hyperbolic systems of conservation laws, Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes III. Code optimization via tensor contraction, High-order perturbation of surfaces algorithms for the simulation of localized surface plasmon resonances in two dimensions, A model for \textit{Vibrio cholerae} colonization of the human intestine, Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations, Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations, Tracking particles in flows near invariant manifolds via balance functions, Fully discrete local discontinuous Galerkin approximation for time-space fractional subdiffusion/superdiffusion equations, Two new finite element schemes and their analysis for modeling of wave propagation in graphene, A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations, A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes, FDTD schemes for Maxwell's equations with embedded perfect electric conductors based on the correction function method, Implicit large eddy simulations for NACA0012 airfoils using compressible and incompressible discontinuous Galerkin solvers, A compact subcell WENO limiting strategy using immediate neighbors for Runge-Kutta discontinuous Galerkin methods for unstructured meshes, A mass- and energy-conserved DG method for the Schrödinger-Poisson equation, Fast barycentric-based evaluation over spectral/\textit{hp} elements, Dynamic phase-field fracture with a first-order discontinuous Galerkin method for elastic waves, A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes, Discontinuous Galerkin discretizations and analysis for the Cohen-Monk PML model, High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface, A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes, A generalized probabilistic learning approach for multi-fidelity uncertainty quantification in complex physical simulations, A non-intrusive model order reduction approach for parameterized time-domain Maxwell's equations, The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations, Utilizing time-reversibility for shock capturing in nonlinear hyperbolic conservation laws, A hybridizable discontinuous triangular spectral element method on unstructured meshes and its \textit{hp}-error estimates, 3D time-dependent scattering about complex shapes using high order difference potentials, Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements, High-order implicit shock tracking (HOIST), The time domain linear sampling method for determining the shape of multiple scatterers using electromagnetic waves, The spectral difference Raviart-Thomas method for two and three-dimensional elements and its connection with the flux reconstruction formulation, A very high-order flux reconstruction approach coupled to the MPFA-QL finite volume method for the numerical simulation of oil-water flows in 2D petroleum reservoirs, A high-order partitioned fluid-structure interaction framework for vortex-induced vibration simulation, Stable spectral difference approach using Raviart-Thomas elements for 3D computations on tetrahedral grids, Interconnected hierarchical structures for fast direct elliptic solution, The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering, Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods, A compact subcell WENO limiting strategy using immediate neighbours for Runge-Kutta discontinuous Galerkin methods, A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids, Superconvergence analysis for time-dependent Maxwell's equations in metamaterials, Application of spectral filtering to discontinuous Galerkin methods on triangulations, Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs, A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form, Stable, high-order computation of impedance–impedance operators for three-dimensional layered medium simulations, A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems, A GPU-accelerated adaptive discontinuous Galerkin method for level set equation, Construction and convergence analysis of conservative second order local time discretisation for linear wave equations, Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves, Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods, Loss of regularity in the ${K(m, n)}$ equations, Reduced Order Observer of Finite Dimensional Radiative-Conductive Heat Transfer Systems, A Trefftz method with reconstruction of the normal derivative applied to elliptic equations, Weight-Adjusted Discontinuous Galerkin Methods: Curvilinear Meshes, New computational methods in tsunami science, A posteriori analysis for dynamic model adaptation in convection-dominated problems, An operator-based local discontinuous Galerkin method compatible with the BSSN formulation of the Einstein equations, Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media, Применение сеточно-характеристического метода в решении прямых задач сейсморазведки трещиноватых пластов (обзорная статья), Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods, Fast Factorization Update for General Elliptic Equations Under Multiple Coefficient Updates, Efficient Matrix-Free High-Order Finite Element Evaluation for Simplicial Elements, Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks, Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods, Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations, Dispersion-Dissipation Analysis for Advection Problems with Nonconstant Coefficients: Applications to Discontinuous Galerkin Formulations, Broadband surface impedance boundary conditions for higher order time domain discontinuous Galerkin method, Efficient Numerical Solution of Geometric Inverse Problems Involving Maxwell's Equations Using Shape Derivatives and Automatic Code Generation, Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations, Numerical modeling of seismic waves by discontinuous spectral element methods, Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems, Burnett Spectral Method for High-Speed Rarefied Gas Flows, Stability of Energy Stable Flux Reconstruction for the Diffusion Problem Using Compact Numerical Fluxes, A high-order perturbation of envelopes (HOPE) method for scattering by periodic inhomogeneous media, Systems of Differential Algebraic Equations in Computational Electromagnetics, P2 Mesh Optimization Operators, A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction, Modeling Effects of Electromagnetic Waves on Thin Wires with a High-Order Discontinuous Galerkin Method, Spectral Properties of Discontinuous Galerkin Space Operators on Curved Meshes, A Combined-Mode Fourier Analysis of DG Methods for Linear Parabolic Problems, Unnamed Item, Fourier Analyses of High-Order Continuous and Discontinuous Galerkin Methods, Implicit DG Method for Time Domain Maxwell’s Equations Involving Metamaterials, Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves, Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids, An Immersed Discontinuous Galerkin Method for Acoustic Wave Propagation in Inhomogeneous Media, Shape Sensitivity Analysis in Aerodynamics Using an Isogeometric Discontinuous Galerkin Method, Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes, An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes, Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points, Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation, Variations on Hermite Methods for Wave Propagation, Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations, Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials, Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids, A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework, A stabilized discontinuous Galerkin method for the nonlinear advection-diffusion processes, High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes, A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows, Multidomain Galerkin–collocation method: spherical collapse of scalar fields II, Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes, High Order and Underresolution, A Fast Distributed Data-Assimilation Algorithm for Divergence-Free Advection, Unnamed Item, Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol, Complex dispersion relation calculations with the symmetric interior penalty method, Compactons, A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers, A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals, Post-processed Galerkin approximation of improved order for wave equations, A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations, Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods, Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators, Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving $\delta$-Singularities, Error Analysis of Discontinuous Galerkin Discretizations of a Class of Linear Wave-type Problems, A general approach to transforming finite elements, Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials, NUMERICAL VALIDATION OF PROBABILISTIC LAWS TO EVALUATE FINITE ELEMENT ERROR ESTIMATES, Stability analysis and error estimates of arbitrary Lagrangian–Eulerian discontinuous Galerkin method coupled with Runge–Kutta time-marching for linear conservation laws, A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations, Improved successive constraint method baseda posteriorierror estimate for reduced basis approximation of 2D Maxwell's problem, A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra, Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property, Numerical analysis of growing crack problems using particle discretization scheme, Dynamics of rapidly depressurized multiphase shock tubes, Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators, Extended Multidimensional Integration Formulas on Polytope Meshes, Fourth Order Finite Difference Methods for the Wave Equation with Mesh Refinement Interfaces, An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection, Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation, High Order Cut Discontinuous Galerkin Methods for Hyperbolic Conservation Laws in One Space Dimension, Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs, GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes, DG Discretization of Optimized Schwarz Methods for Maxwell’s Equations, A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity, Convergence analysis of some tent-based schemes for linear hyperbolic systems, The p-Weighted Limiter for the Discontinuous Galerkin Method in Solving Compressible Flows on Tetrahedral Grids, NUMERICAL COUPLING OF TWO SCALAR CONSERVATION LAWS BY A RKDG METHOD, Discontinuous Galerkin method for blow-up solutions of nonlinear wave equations, Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems, Discontinuous Galerkin sparse grids methods for time domain Maxwell's equations, Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions, Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation, Hybrid large eddy simulation for low-order discontinuous Galerkin methods using an explicit filter, A Finite Difference–Discontinuous Galerkin Method for the Wave Equation in Second Order Form, High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations, Theoretical and computational analysis of the thermal quasi-geostrophic model, Positivity-preserving entropy filtering for the ideal magnetohydrodynamics equations, Explicit Least-Degree Boundary Filters for Discontinuous Galerkin, On the SAV‐DG method for a class of fourth order gradient flows, High-Order BDF Convolution Quadrature for Subdiffusion Models with a Singular Source Term, Numerical evaluation of line, surface and toroidal integrals on level sets of toroidally symmetric functions, Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs, Unnamed Item, A modified a posteriori subcell limiter for high order flux reconstruction scheme for one-dimensional detonation simulation, Fourier continuation discontinuous Galerkin methods for linear hyperbolic problems, Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model, High‐order non‐conforming discontinuous Galerkin methods for the acoustic conservation equations, Deep reinforcement learning for adaptive mesh refinement, Stability and Convergence of a Class of RKDG Methods for Maxwell’s Equations, A sub-element adaptive shock capturing approach for discontinuous Galerkin methods, Explicit high-order exponential time integrator for discontinuous Galerkin solution of Maxwell's equations, Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation, Whitney edge elements and the Runge phenomenon, Joint Geometry/Frequency Analyticity of Fields Scattered by Periodic Layered Media, Stabilizing discontinuous Galerkin methods using Dafermos' entropy rate criterion. I: One-dimensional conservation laws, Theoretical and practical aspects of space-time DG-SEM implementations, Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations, Adaptive quadratic finite element method for the unilateral contact problem, The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium, Multidimensional generalized Riemann problem solver for Maxwell's equations, A finite volume flux coordinate independent approach, Error control of the numerical posterior with Bayes factors in Bayesian uncertainty quantification, Parallel kinetic schemes for conservation laws, with large time steps, A space-time high-order implicit shock tracking method for shock-dominated unsteady flows, A NUMERICAL METHOD FOR 3D TIME-DEPENDENT MAXWELL’S EQUATIONS IN AXISYMMETRIC SINGULAR DOMAINS WITH ARBITRARY DATA, Domain-specific implementation of high-order discontinuous Galerkin methods in spherical geometry, Development of an implicit high-order flux reconstruction solver for high-speed flows on simplex elements, Model order reduction for parameterized electromagnetic problems using matrix decomposition and deep neural networks, On state feedback control of a class of nonlinear PDE systems in finite dimension, Modal explicit filtering for large eddy simulation in discontinuous spectral element method, Implicit hybridized discontinuous Galerkin methods for compressible magnetohydrodynamics, A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann-BGK equation, On strictly convex entropy functions for the reactive Euler equations, Architecture-based and target-oriented algorithm optimization of high-order methods via complete-search tensor contraction, Local discontinuous Galerkin schemes for an ultrasonic propagation equation with fractional attenuation, A flux reconstruction stochastic Galerkin scheme for hyperbolic conservation laws, Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations, On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics, A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography, A new Poisson-type equation applicable to the three-dimensional non-hydrostatic model in the framework of the discontinuous Galerkin method, Discontinuous Galerkin spectral element method for shock capturing with summation by parts properties, Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction, An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws, A discontinuous Galerkin finite element model for compound flood simulations, A discontinuous Galerkin approach for Atmospheric flows with implicit condensation, The extended discontinuous Galerkin method for two-phase flows with evaporation, L1/LDG algorithm for time‐Caputo space‐Riesz fractional convection equation in two dimensions, High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods, GPU-Accelerated Bernstein--Bézier Discontinuous Galerkin Methods for Wave Problems, A Short Note on a Bernstein--Bezier Basis for the Pyramid, Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements, A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems, High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation, Discontinuous Galerkin method for wave propagation in elastic media with inhomogeneous inclusions, Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks, Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions, Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation, A Posteriori Analysis of Fully Discrete Method of Lines Discontinuous Galerkin Schemes for Systems of Conservation Laws, Analysis of a Combined CG1-DG2 Method for the Transport Equation, Implicit Runge--Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations, A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws, Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation, High Order Algorithms for the Fractional Substantial Diffusion Equation with Truncated Lévy Flights, High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles, On the development, verification, and validation of a discontinuous Galerkin solver for the Navier-Stokes equations, Analysis and FDTD Simulation of a Perfectly Matched Layer for the Drude Metamaterial, A high-order shock capturing discontinuous Galerkin–finite difference hybrid method for GRMHD, High-Performance Evaluation of Finite Element Variational Forms via Commuting Diagrams and Duality, Comparison of Wetting and Drying Between a RKDG2 Method and Classical FV Based Second-Order Hydrostatic Reconstruction, A Discontinuous Galerkin Method for Non-hydrostatic Shallow Water Flows
Uses Software
