The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi)
type: Item
instance of: scholarly article
title: The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi)
author: Thomas Führer
author: Norbert Heuer
author: Xiaochuan Tian
author: Leszek Demkowicz
publication date: 2021-06-23T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 7362354
MaRDI profile type: Publication
full work available at URL: j.camwa.2020.10.002
OpenAlex ID: W3097613224
cites work: Adaptivity and variational stabilization for convection-diffusion equations
cites work: A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
cites work: A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D
cites work: An analysis of the practical DPG method
cites work: Construction of DPG Fortin operators for second order problems
cites work: Breaking spaces and forms for the DPG method and applications including Maxwell equations
cites work: Fully discrete DPG methods for the Kirchhoff-Love plate bending model
cites work: Low-Order Discontinuous Petrov--Galerkin Finite Element Methods for Linear Elasticity
cites work: A robust Petrov-Galerkin discretisation of convection-diffusion equations
cites work: A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form
cites work: Q4085497
cites work: Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
cites work: An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition
cites work: Adaptive wavelet methods. II: Beyond the elliptic case
cites work: Adaptive Wavelet Methods for Saddle Point Problems---Optimal Convergence Rates
cites work: Double greedy algorithms: Reduced basis methods for transport dominated problems
cites work: Robust DPG method for convection-dominated diffusion problems
cites work: A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms
cites work: A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems
cites work: Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems
cites work: On some results concerning the reciprocal formulation for the Signorini's problem
DOI: 10.1016/J.CAMWA.2020.10.002
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7362354