On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines

KA Johannessen, F Remonato, T Kvamsdal - Computer Methods in Applied …, 2015 - Elsevier
Smooth spline functions such as B-splines and NURBS are already an established
technology in the field of computer-aided design (CAD) and have in recent years been given …

Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution

O San, A Rasheed, T Kvamsdal - GAMM‐Mitteilungen, 2021 - Wiley Online Library
Most modeling approaches lie in either of the two categories: physics‐based or data‐driven.
Recently, a third approach which is a combination of these deterministic and statistical …

[HTML][HTML] Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis

M Kumar, T Kvamsdal, KA Johannessen - Computer Methods in Applied …, 2017 - Elsevier
In this article, we address adaptive methods for isogeometric analysis based on local
refinement guided by recovery based a posteriori error estimates. Isogeometric analysis was …

Patch recovery based on complementary energy

F Ubertini - International Journal for Numerical Methods in …, 2004 - Wiley Online Library
In this paper a new stress recovery procedure is presented. The formulation is very simple
and based on improving stresses by enforcing compatibility over local patches of elements …

Adaptive isogeometric finite element analysis of steady‐state groundwater flow

YW Bekele, T Kvamsdal, AM Kvarving… - … Journal for Numerical …, 2016 - Wiley Online Library
Numerical challenges occur in the simulation of groundwater flow problems because of
complex boundary conditions, varying material properties, presence of sources or sinks in …

[HTML][HTML] An efficient and easy-to-implement recovery-based a posteriori error estimator for isogeometric analysis of the Stokes equation

A Abdulhaque, T Kvamsdal, KA Johannessen… - Computer Methods in …, 2024 - Elsevier
In this article, we present an efficient recovery-based a posteriori error estimator for adaptive
isogeometric analysis (IGA) of the Stokes equation, which is straightforward to implement …

An equilibrium‐based stress recovery procedure for the VEM

E Artioli, S De Miranda, C Lovadina… - … Journal for Numerical …, 2019 - Wiley Online Library
Within the framework of the displacement‐based virtual element method (VEM), namely, for
plane elasticity, an important topic is the development of optimal techniques for the …

A posteriori error estimation based on the superconvergent Recovery by Compatibility in Patches

A Benedetti, S De Miranda… - International Journal for …, 2006 - Wiley Online Library
The present work deals with an a posteriori error estimator for linear finite element analysis,
based on a stress recovery procedure called Recovery by Compatibility in Patches. The key …

On application of two superconvergent recovery procedures to plate problems

B Boroomand, M Ghaffarian… - International Journal for …, 2004 - Wiley Online Library
In this paper a study is performed on application of two recovery methods, ie
superconvergent patch recovery (SPR) and the recovery by equilibrium of patches (REP), to …

Patch based recovery in finite element elastoplastic analysis

F Daghia, S De Miranda, F Ubertini - Computational Mechanics, 2013 - Springer
A new patch based stress recovery procedure for elastoplastic analysis is presented in this
paper. The formulation derives from the extension to the elastic-perfectly plastic case of the …