Coupled model and grid adaptivity in hierarchical reduction of elliptic problems
type: Item
instance of: scholarly article
title: Coupled model and grid adaptivity in hierarchical reduction of elliptic problems
zbMATH Open document ID: 1307.65155
author: Simona Perotto
author: Alessandro Veneziani
published in: Journal of Scientific Computing
publication date: 2014-11-25T00:00:00Z
review text: The authors propose a surrogate model for advection-diffusion-reaction problems characterized by a dominant direction in their dynamics. They make the local selection of the transverse modes automatic by introducing a model adaptive procedure and derive an a posteriori modelling error estimator.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6373675
zbMATH Keywords: model reduction
zbMATH Keywords: a posteriori modeling error analysis
zbMATH Keywords: mesh adaptivity
zbMATH Keywords: domain decomposition
zbMATH Keywords: finite elements
zbMATH Keywords: advection-diffusion-reaction problem
MaRDI profile type: Publication
full work available at URL: s10915-013-9804-y
OpenAlex ID: W1968695368
cites work: Some remarks about the hierarchicala posteriori error estimate
cites work: A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Q4797885
cites work: A Posteriori Error Estimates Based on Hierarchical Bases
cites work: An optimal control approach to a posteriori error estimation in finite element methods
cites work: Q3138732
cites work: Black-box decomposition approach for computational hemodynamics: one-dimensional models
cites work: A Posteriori Control of Modeling Errors and Discretization Errors
cites work: From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
cites work: Q4162607
cites work: Q4144698
cites work: Q4593316
cites work: Q5503152
cites work: Small data oscillation implies the saturation assumption
cites work: Multiscale modelling of the circulatory system: a preliminary analysis
cites work: Cardiovascular mathematics. Modeling and simulation of the circulatory system
cites work: Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
cites work: Q5701661
cites work: Goal-oriented error estimation and adaptivity for the finite element method
cites work: Two different approaches for matching nonconforming grids: The mortar element method and the FETI method
cites work: Q5634306
cites work: A reduced-basis element method
cites work: Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems
cites work: Model coupling techniques for free-surface flow problems. I.
cites work: Estimation of modeling error in computational mechanics.
cites work: Modeling error and adapticity in nonlinear continuum mechanics
cites work: Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
cites work: A dimensional reduction approach based on the application of reduced basis methods in the framework of hierarchical model reduction
cites work: Adaptive modeling for free-surface flows
cites work: Hierarchical Model (Hi-Mod) Reduction in Non-rectilinear Domains
cites work: Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach
cites work: Q4254887
cites work: A DIRECTOR THEORY APPROACH FOR MODELING BLOOD FLOW IN THE ARTERIAL SYSTEM: AN ALTERNATIVE TO CLASSICAL 1D MODELS
cites work: Error-controlled adaptive goal-oriented modeling and finite element approximations in elasticity
cites work: Q4825126
cites work: On a Dimensional Reduction Method. III. A Posteriori Error Estimation and an Adaptive Approach
DOI: 10.1007/S10915-013-9804-Y
description: scientific article; zbMATH DE number 6373675