Concepedia

Hp-convergence

hp-Convergence is a convergence analysis framework in numerical methods for partial differential equations characterized by simultaneous refinement of mesh size (h) and polynomial degree (p) in finite element discretizations to achieve exponential rates of convergence.

134

Publications

6.2K

Citations

210

Authors

135

Institutions

Publications per year

2017–2026

20

Parents

Publications

134

Discontinuous<i>hp</i>-Finite Element Methods for Advection-Diffusion-Reaction Problems

Paul Houston, Christoph Schwab, Endre Süli · SIAM Journal on Numerical Analysis · 2002 · 499 citations

, , +16

Approximated solutions of equations withL1 data. Application to theH-convergence of quasi-linear parabolic equations

Andrea Dall’Aglio · Annali di Matematica Pura ed Applicata (1923 -) · 1996 · 204 citations · Full text

, , +12

Approximation properties of the h-p version of the finite element method

Ivo Babuška, Binghui Guo · Computer Methods in Applied Mechanics and Engineering · 1996 · 164 citations

, , +15

A note on the design of hp-adaptive finite element methods for elliptic partial differential equations

Paul Houston, Endre Süli · Computer Methods in Applied Mechanics and Engineering · 2004 · 161 citations

, , +13

From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations

Peter Vos, Spencer J. Sherwin, Robert M. Kirby · Journal of Computational Physics · 2010 · 153 citations

, , +16

1–5 of 134

Authors

210

  1. CS
    Christoph Schwab

    ETH Zurich, Switzerland

    11 publications · 970 citations

    10

    h-index

  2. DS
    Dominik Schötzau

    University of British Columbia, Canada

    9 publications · 248 citations

    9

    h-index

  3. ES
    Endre Süli

    University of Oxford, United Kingdom

    8 publications · 1.2K citations

    8

    h-index

  4. JM
    Jens Markus Melenk

    TU Wien, Austria

    7 publications · 401 citations

    7

    h-index

  5. EP
    Ernst P. Stephan

    Leibniz University Hannover, Germany

    6 publications · 182 citations

    6

    h-index

1–5 of 210

Institutions

135

  1. ETH Zurich

    Zurich, Switzerland

    14 h-index

    24 publications

    862 citations

  2. The University of Texas at Austin

    Austin, United States

    11 h-index

    20 publications

    905 citations

  3. University of Oxford

    Oxford, United Kingdom

    7 h-index

    10 publications

    985 citations

  4. University of British Columbia

    Vancouver, Canada

    6 h-index

    6 publications

    145 citations

  5. University of Leicester

    Leicester, United Kingdom

    6 h-index

    9 publications

    1.4K citations

  6. Leibniz University Hannover

    Hanover, Germany

    5 h-index

    10 publications

    292 citations

  7. RWTH Aachen University

    Aachen, Germany

    5 h-index

    10 publications

    215 citations

  8. Imperial College London

    London, United Kingdom

    4 h-index

    7 publications

    542 citations

1–8 of 135

Venues

  1. SIAM Journal on Numerical Analysis

    16 publications · 1.4K citations

    14

    h-index

  2. 13

    h-index

  3. Applied Numerical Mathematics

    9 publications · 291 citations

    9

    h-index

  4. Mathematics of Computation

    MCOM · 8 publications · 375 citations

    8

    h-index

  5. Journal of Computational Physics

    8 publications · 360 citations

    8

    h-index

1–5