Concepedia

Hp-adaptivity

hp-Adaptivity is an adaptive mesh refinement strategy that, as a singular methodological construct, combines both h-refinement (spatial subdivision of elements) and p-refinement (incremental increase in the polynomial order of basis functions) to achieve optimal convergence rates and solution accuracy in numerical simulations.

52

Publications

2.2K

Citations

87

Authors

58

Institutions

Publications per year

2017–2026

7

Variants

Hp-adaptive Method

Parents

Publications

52

A Fully Automatic hp-Adaptivity

Leszek Demkowicz, W. Rachowicz, Ph. Devloo · Journal of Scientific Computing · 2002 · 175 citations

, , +3

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

, , +15

Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method

Wing Kam Liu, R. A. Uras, Y. Chen · Journal of Applied Mechanics · 1997 · 139 citations

, , +16

An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry

Dominik Schillinger, E. Rank · Computer Methods in Applied Mechanics and Engineering · 2011 · 130 citations

, , +14

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

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

, , +10

1–5 of 52

Authors

87

  1. LD
    Leszek Demkowicz

    The University of Texas at Austin, United States

    15 publications · 587 citations

    13

    h-index

  2. DP
    David Pardo

    Ikerbasque, Spain

    8 publications · 214 citations

    8

    h-index

  3. MP
    Maciej Paszyński

    AGH University of Krakow, Poland

    4 publications · 157 citations

    4

    h-index

  4. GM
    Georg May

    RWTH Aachen University, Germany

    4 publications · 82 citations

    4

    h-index

  5. LE
    Luis E. García-Castillo

    Universidad Carlos III de Madrid, Spain

    3 publications · 44 citations

    3

    h-index

1–5 of 87

Institutions

58

  1. The University of Texas at Austin

    Austin, United States

    15 h-index

    36 publications

    1.4K citations

  2. Universidad Carlos III de Madrid

    Madrid, Spain

    5 h-index

    6 publications

    84 citations

  3. RWTH Aachen University

    Aachen, Germany

    4 h-index

    10 publications

    200 citations

  4. AGH University of Krakow

    Krakow, Poland

    4 h-index

    5 publications

    180 citations

  5. Technical University of Munich

    Munich, Germany

    3 h-index

    12 publications

    760 citations

  6. Universidad Politécnica de Madrid

    Madrid, Spain

    2 h-index

    2 publications

    31 citations

  7. Institute for Advanced Study

    Berlin, Germany

    2 h-index

    6 publications

    147 citations

  8. Leibniz University Hannover

    Hanover, Germany

    2 h-index

    3 publications

    79 citations

1–8 of 58

Venues

  1. 15

    h-index

  2. Applied Numerical Mathematics

    4 publications · 192 citations

    4

    h-index

  3. 3

    h-index

  4. Computational Mechanics

    3 publications · 217 citations

    3

    h-index

  5. Computers & Mathematics with Applications

    2 publications · 57 citations

    2

    h-index

1–5