Hp-adaptation

Hp-Adaptation is a grid adaptation strategy that combines h-refinement, which selectively subdivides mesh elements to improve spatial resolution, and p-refinement, which increases the polynomial order of the basis functions to enhance solution accuracy, thereby achieving optimal convergence rates through simultaneous control of element size and approximation order.

Publications

Citations

Authors

Institutions

Publications per year

2017–2026

Variants

Hp-adaptive MethodHp-adaptive Strategy

Parents

Grid Adaptation

Publications

Wavelet and multiple scale reproducing kernel methods

Wing Kam Liu, Yi-Jung Chen · International Journal for Numerical Methods in Fluids · 1995 · 239 citations

Computing, Computational Engineering, Finite Element Analysis +13

Aspects of an adaptive hp-finite element method: Adaptive strategy, conforming approximation and efficient solvers

Mark Ainsworth, Bill Senior · Computer Methods in Applied Mechanics and Engineering · 1997 · 147 citations

Computing, Computational Engineering, Computational Mechanics +15

Multi-level hp-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes

Nils Zander, Tino Bog, Stefan Kollmannsberger et al. · Computational Mechanics · 2015 · 101 citations

Engineering, Computational Engineering, Computer Engineering +14

An adaptive strategy for hp-FEM based on testing for analyticity

Tino Eibner, Jens Markus Melenk · Computational Mechanics · 2006 · 101 citations · Full text

Computing, Computational Engineering, Mechanical Engineering +10

Goal-oriented hp-adaptivity for elliptic problems

Pavel Šolı́n, Leszek Demkowicz · Computer Methods in Applied Mechanics and Engineering · 2004 · 94 citations

Computing, Computer Science, Computational Mechanics +10

1–5 of 44

Authors

LD
Leszek Demkowicz
The University of Texas at Austin, United States
5 publications · 345 citations
5
h-index
DP
David Pardo
Ikerbasque, Spain
4 publications · 143 citations
4
h-index
GM
Georg May
RWTH Aachen University, Germany
3 publications · 103 citations
3
h-index
AB
Aravind Balan
RWTH Aachen University, Germany
2 publications · 80 citations
2
h-index
WR
W. Rachowicz
The University of Texas at Austin, United States
2 publications · 181 citations
2
h-index

1–5 of 85

Institutions

1–8 of 57

Venues

Computer Methods in Applied Mechanics and Engineering
7 publications · 484 citations
7
h-index
Applied Numerical Mathematics
5 publications · 180 citations
5
h-index
Journal of Computational Physics
3 publications · 59 citations
3
h-index
Computers & Fluids
2 publications · 94 citations
2
h-index
Computational Mechanics
2 publications · 202 citations
2
h-index

1–5