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A stable space-time FE method for the shallow water equations - MaRDI portal

A stable space-time FE method for the shallow water equations (Q2130945)

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Language	Label	Description	Also known as
English	A stable space-time FE method for the shallow water equations	scientific article

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scholarly article

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A stable space-time FE method for the shallow water equations (English)

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Clint N. Dawson

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Computational Geosciences

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/2011.04786

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zbMATH Keywords

shallow water equations

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discontinuous Petrov-Galerkin

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adaptivity

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space-time FE method

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local time stepping

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describes a project that uses

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Firedrake-Fluids

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MaRDI profile type

MaRDI publication profile

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Error-bounds for finite element method

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The $h-p$ version of the finite element method with quasiuniform meshes

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Least-squares finite element methods

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Mixed Finite Element Methods and Applications

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Mixed and Hybrid Finite Element Methods

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Nonlinear discontinuous Petrov-Galerkin methods

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A Posteriori Error Control for DPG Methods

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Breaking spaces and forms for the DPG method and applications including Maxwell equations

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Discontinuous and coupled continuous/discontinuous Galerkin methods for the shallow water equations

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Discontinuous/continuous Galerkin methods for coupling the primitive and wave continuity equations of shallow water.

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A class of discontinuous Petrov-Galerkin methods. I: The transport equation

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Analysis of the DPG Method for the Poisson Equation

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A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

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A class of discontinuous Petrov-Galerkin methods. III: Adaptivity

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Construction of DPG Fortin operators revisited

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An Overview of the Discontinuous Petrov Galerkin Method

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A Convergent Adaptive Algorithm for Poisson’s Equation

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A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

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An analysis of the practical DPG method

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A space-time hybridizable discontinuous Galerkin method for linear free-surface waves

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Selective lumping finite element method for shallow water flow

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Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations

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Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm

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Least-squares finite element method for shallow-water equations with source terms

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A wave equation model for finite element tidal computations

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A well-balanced scheme for the shallow-water equations with topography or Manning friction

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Explicit-in-time goal-oriented adaptivity

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Construction of DPG Fortin operators for second order problems

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Shallow water problems: A general explicit formulation

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Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I

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A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations

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Alternative enriched test spaces in the DPG method for singular perturbation problems

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A comparison of the explicit and implicit hybridizable discontinuous Galerkin methods for nonlinear shallow water equations

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A First-Order System Least Squares Finite Element Method for the Shallow Water Equations

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On a relation of discontinuous Petrov-Galerkin and least-squares finite element methods

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Space-time SUPG formulation of the shallow-water equations

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An unconditionally stable space-time FE method for the Korteweg-de Vries equation

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An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry

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High-order entropy stable discontinuous Galerkin methods for the shallow water equations: curved triangular meshes and GPU acceleration

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Identifiers

zbMATH Open document ID

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10.1007/s10596-021-10108-4

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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:2130945

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