A posteriori error estimates and adaptivity for the discontinuous Galerkin solutions of nonlinear second-order initial-value problems
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.06.001
Abstract: Abstract In this paper, we propose and analyze an efficient and reliable a posteriori error estimator of residual-type for the discontinuous Galerkin (DG) method applied to nonlinear second-order initial-value problems for ordinary differential equations. This… read more here.
Keywords: order; error; discontinuous galerkin; posteriori error ... See more keywords
An a posteriori error estimator for a LPS method for Navier–Stokes equations
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.12.018
Abstract: Abstract In this work we develop an a posteriori error estimator, of the hierarchical type, for the Local Projection Stabilized (LPS) finite element method introduced in [5] , applied to the incompressible Navier–Stokes equations. The… read more here.
Keywords: stokes equations; navier stokes; error estimator; posteriori error ... See more keywords
An accurate and simple universal a posteriori error estimator for GS4-1 framework: Adaptive time stepping in first-order transient systems
Sign Up to like & getrecommendations! Published in 2021 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113604
Abstract: Abstract The “Generalized Single Step Single Solve” framework for first-order transient systems (GS4-1) is considered to develop adaptive time stepping via a newly proposed a posteriori error estimator in this paper. Traditional approaches design and… read more here.
Keywords: order; error; time; adaptive time ... See more keywords
An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems
Sign Up to like & getrecommendations! Published in 2018 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.04.017
Abstract: This work deals with an a posteriori error estimator for hermitian positive eigenvalue problems. The proposed estimator is based on the residual and the definition of suitable shifts in the matrix spectrum. The mathematical properties… read more here.
Keywords: estimator; estimator based; eigenvalue problems; error estimator ... See more keywords
On a multiscale a posteriori error estimator for the stokes and Brinkman equations
Sign Up to like & getrecommendations! Published in 2019 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/drz053
Abstract: This work proposes and analyzes a residual a posteriori error estimator for the Multiscale Hybrid-Mixed (MHM) method for the Stokes and Brinkman equations. The error estimator relies on the multi-level structure of the MHM method… read more here.
Keywords: brinkman equations; stokes brinkman; estimator; posteriori error ... See more keywords