(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods (Q4623145)

scientific article; zbMATH DE number 7025128

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English	(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods	scientific article; zbMATH DE number 7025128

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instance of

scholarly article

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title

(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods (English)

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SIAM Journal on Scientific Computing

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publication date

19 February 2019

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full work available at URL

https://arxiv.org/abs/1803.06925

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zbMATH Keywords

linear transport equation

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inf-sup stability

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reduced basis methods

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describes a project that uses

redbKIT

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MaRDI profile type

MaRDI publication profile

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cites work

Q4881718

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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On the stability of DPG formulations of transport equations

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Constructively well-posed approximation methods with unity inf–sup and continuity constants for partial differential equations

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Adaptive Petrov--Galerkin Methods for First Order Transport Equations

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Double greedy algorithms: Reduced basis methods for transport dominated problems

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A semi-supervised regression model for mixed numerical and categorical variables

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

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

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Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems

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Glioma follow white matter tracts: a multiscale DTI-based model

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Transport and propagation of a perturbation of a flow of a compressible fluid in a bounded region

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Model Reduction and Approximation

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A hierarchical a posteriori error estimator for the reduced basis method

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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\(M^5\) mesoscopic and macroscopic models for mesenchymal motion

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A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

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Reduced Basis Methods for Partial Differential Equations

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Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments

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Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques

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Some observations on Babuška and Brezzi theories

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Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations

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A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D

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Identifiers

zbMATH Open document ID

1428.65077

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DOI

10.1137/18M1176269

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4623145