Hierarchical Error Estimation is an error estimation method that leverages a nested sequence of discretizations or model refinements to systematically assess and quantify the discrepancy between approximate solutions at different levels of resolution, thereby distinguishing itself from non-hierarchical estimation techniques by exploiting the structured, multi-level relationships inherent in the solution space.
38
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1.6K
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90
Authors
57
Institutions
Publications per year
2017–2026
7
Parents
Publications
38
Hierarchical bases and the finite element method
Randolph E. Bank · Acta Numerica · 1996 · 188 citations
Computing, Computational Engineering, Finite Element Analysis +15
Hierarchical error processing: Different errors, different systems
Olav Krigolson, Clay B. Holroyd · Brain Research · 2007 · 104 citations
1–5 of 38
Authors
90
- JS
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1–5 of 90
Institutions
57
Guangzhou University
Guangzhou, China
2 h-index
8 publications
191 citations
University of Münster
Münster, Germany
2 h-index
2 publications
34 citations
University of Minnesota
Minneapolis, United States
2 h-index
4 publications
62 citations
Freie Universität Berlin
Berlin, Germany
2 h-index
5 publications
140 citations
New York University
New York, United States
2 h-index
2 publications
136 citations
Numerical Method (China)
Tsuen Wan, China
1 h-index
3 publications
30 citations
University of Zagreb
Zagreb, Croatia
1 h-index
1 publications
44 citations
Stanford University
Stanford, United States
1 h-index
2 publications
102 citations
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Venues
- SIAM Journal on Numerical Analysis
5 publications · 412 citations
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- Numerische Mathematik
3 publications · 150 citations
3
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- Computer Methods in Applied Mechanics and Engineering
3 publications · 69 citations
3
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- Mathematics of Computation
MCOM · 2 publications · 60 citations
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- Mathematical Models and Methods in Applied Sciences
2 publications · 39 citations
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