H1 Error Estimates

H1 Error Estimates is a mathematical metric in the field of numerical analysis that quantifies the discrepancy between an exact solution and its numerical approximation in the Sobolev space H¹, distinguished by its incorporation of both function and first-derivative errors in the energy norm.

Publications

Citations

147

Authors

108

Institutions

Publications per year

2017–2026

Parents

Convergence Analysis

Publications

Poincaré--Friedrichs Inequalities for Piecewise <i>H</i><sup>1</sup> Functions

Susanne C. Brenner · SIAM Journal on Numerical Analysis · 2003 · 505 citations

Computing, Computational Engineering, Computational Mechanics +12

Velocity-Correction Projection Methods for Incompressible Flows

Jean‐Luc Guermond, Jie Shen · SIAM Journal on Numerical Analysis · 2003 · 272 citations

Natural Sciences, Mathematics, Physics +14

Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations

Yinnian He · SIAM Journal on Numerical Analysis · 2003 · 238 citations

Computing, Computational Engineering, Mechanical Engineering +13

Error estimates for the combinedh andp versions of the finite element method

Ivo Babuška, M. Dörr · Numerische Mathematik · 1981 · 219 citations

Computing, Computational Engineering, Mechanical Engineering +14

Error estimates in 𝐿², 𝐻¹ and 𝐿^{∞} in covolume methods for elliptic and parabolic problems: A unified approach

So‐Hsiang Chou, Qian Li · Mathematics of Computation · 1999 · 196 citations · Full text

Computing, Computational Engineering, Computational Mechanics +10

1–5 of 84

Authors

147

PC
Panagiotis Chatzipantelidis
University of Crete, Greece
4 publications · 209 citations
4
h-index
RL
Raytcho Lazarov
Texas A&M University, United States
4 publications · 209 citations
4
h-index
CH
Chaobao Huang
Shandong University of Finance and Economics, China
3 publications · 80 citations
3
h-index
AK
Amiya K. Pani
Indian Institute of Technology Bombay, India
3 publications · 194 citations
3
h-index
VT
Vidar Thomée
Chalmers University of Technology, Sweden
3 publications · 286 citations
3
h-index

1–5 of 147

Institutions

108

1–8 of 108

Venues

SIAM Journal on Numerical Analysis
14 publications · 1.7K citations
14
h-index
Numerical Methods for Partial Differential Equations
8 publications · 303 citations
8
h-index
IMA Journal of Numerical Analysis
6 publications · 161 citations
6
h-index
Journal of Scientific Computing
4 publications · 157 citations
4
h-index
ESAIM Mathematical Modelling and Numerical Analysis
4 publications · 106 citations
4
h-index

1–5