Blar i NTNU Open på forfatter "Kumar, Mukesh"
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Adaptive Isogeometric Methods for Boussinesq Problems
Abdulhaque, Abdullah (Doctoral theses at NTNU;2022:261, Doctoral thesis, 2022)Computational Fluid Dynamics (CFD) is the numerical study of fluid flow, heat transfer, turbulence modelling and several conservation laws. The fluids can be liquids, gases and even plasmas. There is a vast number of ... -
Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines
Johannessen, Kjetil Andre; Kumar, Mukesh; Kvamsdal, Trond (Journal article; Peer reviewed, 2015)To solve the incompressible flow problems using isogeometric analysis, the div-compatible spline spaces were originally introduced by Buffa et al. (2011), and later developed by Evans (2011). In this paper, we extend the ... -
Simple a posteriori error estimators in adaptive isogeometric analysis
Kumar, Mukesh; Kvamsdal, Trond; Johannessen, Kjetil Andre (Journal article; Peer reviewed, 2015)n this article we propose two simple a posteriori error estimators for solving second order elliptic problems using adaptive isogeometric analysis. The idea is based on a Serendipity1pairing of discrete approximation spaces ... -
Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
Kumar, Mukesh; Kvamsdal, Trond; Johannessen, Kjetil Andre (Journal article; Peer reviewed, 2016)Highlights • A posteriori error estimation methodology for adaptive isogeometric analysis using LR B-splines is developed. • Superconvergent patch recovery of gradient field on adaptive meshes is developed. • Algorithm for ...