A high-performance parallel implementation of the certified reduced basis method
type: Item
instance of: scholarly article
title: A high-performance parallel implementation of the certified reduced basis method
zbMATH Open document ID: 1228.76109
author: D. J. Knezevic
author: John W. Peterson
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2011-12-19T00:00:00Z
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76R10
zbMATH DE Number: 5990346
zbMATH Keywords: reduced basis method
zbMATH Keywords: a posteriori error bounds
zbMATH Keywords: finite element methods
zbMATH Keywords: high-performance computing
zbMATH Keywords: Boussinesq equation
zbMATH Keywords: sensitivity derivatives
describes a project that uses: MUMPS
describes a project that uses: PETSc
describes a project that uses: DAKOTA
describes a project that uses: Gmsh
describes a project that uses: SLEPc
describes a project that uses: libMesh
MaRDI profile type: Publication
full work available at URL: j.cma.2010.12.026
OpenAlex ID: W2100143228
cites work: Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
cites work: Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data
cites work: Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods
cites work: The Reduced Basis Method for Initial Value Problems
cites work: On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations
cites work: Recent advances in reduction methods for nonlinear problems
cites work: Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
cites work: A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
cites work: Parametric free-form shape design with PDE models and reduced basis method
cites work: A novel reduced-basis method with upper and lower bounds for real-time computation of linear elasticity problems
cites work: Q4356470
cites work: SLEPc
cites work: A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
cites work: Reduced basis method for finite volume approximations of parametrized linear evolution equations
cites work: Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: Multifrontal parallel distributed symmetric and unsymmetric solvers
cites work: Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
cites work: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
cites work: Q4868580
cites work: Aerodynamic design via control theory
cites work: A reduced-order method for simulation and control of fluid flows
cites work: An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
cites work: An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations
DOI: 10.1016/J.CMA.2010.12.026
description: scientific article; zbMATH DE number 5990346