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How To Best Sample a Solution Manifold? (Q2799929)

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Language	Label	Description	Also known as
English	How To Best Sample a Solution Manifold?	scientific article

Statements

scholarly article

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How To Best Sample a Solution Manifold? (English)

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Wolfgang Dahmen

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Sampling Theory, a Renaissance

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publication date

14 April 2016

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full work available at URL

https://arxiv.org/abs/1503.00307

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zbMATH Keywords

stabilization

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Galerkin method

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numerical example

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convection-diffusion problem

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singular perturbation

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model reduction

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reduced basis method

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solution manifold

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weakd greedy algorithm

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convergence

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Kolmogorov \(n\)-width

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MaRDI profile type

MaRDI publication profile

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Approximate symmetrization and Petrov-Galerkin methods for diffusion- convection problems

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Approximation and learning by greedy algorithms

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An optimal control approach to <i>a posteriori</i> error estimation in finite element methods

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Convergence Rates for Greedy Algorithms in Reduced Basis Methods

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Mixed and Hybrid Finite Element Methods

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<i>A priori</i>convergence of the Greedy algorithm for the parametrized reduced basis method

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Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs

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Adaptivity and variational stabilization for convection-diffusion 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 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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Greedy algorithms for reduced bases in Banach spaces

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REDUCED BASIS<i>A POSTERIORI</i>ERROR BOUNDS FOR THE STOKES EQUATIONS IN PARAMETRIZED DOMAINS: A PENALTY APPROACH

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Certified Reduced Basis Methods for Parametrized Saddle Point Problems

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<i>A posteriori</i>error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods

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First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane

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Stabilized reduced basis method for parametrized advection-diffusion PDEs

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On the stability of the reduced basis method for Stokes equations in parametrized domains

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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A Uniform Analysis of Nonsymmetric and Coercive Linear Operators

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``Natural norm'' a posteriori error estimators for reduced basis approximations

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Weak greedy algorithms

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Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-19749-4_11

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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:2799929

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