A Least-Squares Finite Element Reduced Basis Method (Q4997358)

scientific article; zbMATH DE number 7364317

Language	Label	Description	Also known as
English	A Least-Squares Finite Element Reduced Basis Method	scientific article; zbMATH DE number 7364317

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instance of

scholarly article

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title

A Least-Squares Finite Element Reduced Basis Method (English)

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author

Jehanzeb Hameed Chaudhry

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Luke N. Olson

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Peter Sentz

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published in

SIAM Journal on Scientific Computing

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publication date

29 June 2021

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full work available at URL

https://arxiv.org/abs/2003.04555

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zbMATH Keywords

least-squares

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finite elements

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reduced basis

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describes a project that uses

redbKIT

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Firedrake

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MaRDI profile type

MaRDI publication profile

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cites work

Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods

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

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Improved Least-squares Error Estimates for Scalar Hyperbolic Problems

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Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II

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Least-squares finite element methods

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Finite element approximation of eigenvalue problems

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Mixed Finite Element Methods and Applications

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Reduced-Basis Approach for Homogenization beyond the Periodic Setting

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Finite Elements

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Least-Squares Finite Element Methods for Quantum Electrodynamics

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Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space

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Least-Squares Methods for Linear Elasticity

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Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction

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Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations

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Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries

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A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations

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Improved successive constraint method baseda posteriorierror estimate for reduced basis approximation of 2D Maxwell's problem

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Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs

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Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers Equation

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Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity

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Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems

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Q3172609

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A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

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An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation

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A natural-norm successive constraint method for inf-sup lower bounds

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Reduced basis approximation anda posteriori error estimation for stress intensity factors

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Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems

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An adaptive least-squares mixed finite element method for the Signorini problem

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Nested Iteration and First-Order Systems Least Squares for a Two-Fluid Electromagnetic Darwin Model

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PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY

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Q3153328

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Least-Squares Finite-Element Solution of the Neutron Transport Equation in Diffusive Regimes

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Efficient Reduction of PDEs Defined on Domains with Variable Shape

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Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations

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Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems

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Reduced Basis Methods for Partial Differential Equations

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Firedrake

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Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations

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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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Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

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Rigorous and effective a-posteriori error bounds for nonlinear problems -- application to RB methods

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

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A least‐squares finite element method for time‐dependent incompressible flows with thermal convection

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Some least-squares Galerkin procedures for first-order time-dependent convection-diffusion system

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A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations

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Identifiers

zbMATH Open document ID

1481.65221

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DOI

10.1137/20M1323552

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4997358