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An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions - MaRDI portal

An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions (Q5131996)

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scientific article; zbMATH DE number 7271879

Language	Label	Description	Also known as
English	An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions	scientific article; zbMATH DE number 7271879

Statements

scholarly article

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An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions (English)

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SIAM Journal on Scientific Computing

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publication date

9 November 2020

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full work available at URL

https://arxiv.org/abs/1906.00829

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zbMATH Keywords

discontinuous Galerkin methods

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multiresolution analysis

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sparse grids

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hyperbolic conservation laws

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artificial viscosity

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems

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A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators

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Adaptive multiresolution approach for solution of hyperbolic PDEs

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Adaptive discontinuous Galerkin methods in multiwavelets bases

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\(hp\)-version discontinuous Galerkin methods for hyperbolic conservation laws

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Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I

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Parallel, adaptive finite element methods for conservation laws

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An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations

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Wavelets and adaptive grids for the discontinuous Galerkin method

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Multiresolution-based adaptive schemes for Hyperbolic Conservation Laws

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The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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Runge--Kutta discontinuous Galerkin methods for convection-dominated problems

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Fully adaptive multiresolution finite volume schemes for conservation laws

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Multiresolution schemes for conservation laws

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Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

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Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations

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A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows

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Adaptive multiresolution discontinuous Galerkin schemes for conservation laws: multi-dimensional case

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Entropy viscosity method for nonlinear conservation laws

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A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations

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An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions

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Solving PDEs with Hermite Interpolation

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Multiresolution algorithms for the numerical solution of hyperbolic conservation laws

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Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.

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Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws

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<i>hp</i>‐Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity

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Adaptive multiresolution discontinuous Galerkin schemes for conservation laws

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Error estimates to smooth solutions of semi‐discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws

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An Adaptive Multiwavelet-Based DG Discretization for Compressible Fluid Flow

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Multiwavelet discontinuous Galerkin \(h\)-adaptive shallow water model

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Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method

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On the scaling of entropy viscosity in high order methods

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Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

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The sparse-grid combination technique applied to time-dependent advection problems

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Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations

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Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation

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Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

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An artificial neural network as a troubled-cell indicator

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An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems

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Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Multiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes

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Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations

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Fast matrix-vector multiplication in the sparse-grid Galerkin method

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Identifiers

zbMATH Open document ID

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10.1137/19M126565X

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5131996

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