Triple
T18521887
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Susanne C. Brenner |
E452603
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
The Mathematical Theory of Finite Element Methods
The Mathematical Theory of Finite Element Methods is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to the mathematical foundations of finite element analysis for partial differential equations.
|
E483186
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: The Mathematical Theory of Finite Element Methods | Statement: [Susanne C. Brenner, notableWork, The Mathematical Theory of Finite Element Methods]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: The Mathematical Theory of Finite Element Methods Context triple: [Susanne C. Brenner, notableWork, The Mathematical Theory of Finite Element Methods]
-
A.
An Introduction to the Mathematical Theory of Finite Elements
An Introduction to the Mathematical Theory of Finite Elements is a foundational textbook that rigorously develops the mathematical underpinnings of the finite element method used in numerical analysis and engineering.
-
B.
Finite Element Methods for Flow Problems
"Finite Element Methods for Flow Problems" is a foundational textbook that develops and applies finite element techniques to the numerical simulation of fluid flow and related transport phenomena.
-
C.
Finite Elements of Nonlinear Continua
"Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
-
D.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis is a foundational textbook that rigorously presents the theory and application of finite element techniques for solving linear static and dynamic problems in engineering and applied sciences.
-
E.
finite element method
The finite element method is a numerical technique for solving complex engineering and physical problems by approximating solutions over discretized domains, widely used in structural analysis, heat transfer, fluid dynamics, and related fields.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: The Mathematical Theory of Finite Element Methods Triple: [Susanne C. Brenner, notableWork, The Mathematical Theory of Finite Element Methods]
Generated description
The Mathematical Theory of Finite Element Methods is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to the mathematical foundations of finite element analysis for partial differential equations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: The Mathematical Theory of Finite Element Methods Target entity description: The Mathematical Theory of Finite Element Methods is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to the mathematical foundations of finite element analysis for partial differential equations.
-
A.
An Introduction to the Mathematical Theory of Finite Elements
chosen
An Introduction to the Mathematical Theory of Finite Elements is a foundational textbook that rigorously develops the mathematical underpinnings of the finite element method used in numerical analysis and engineering.
-
B.
Finite Element Methods for Flow Problems
"Finite Element Methods for Flow Problems" is a foundational textbook that develops and applies finite element techniques to the numerical simulation of fluid flow and related transport phenomena.
-
C.
Finite Elements of Nonlinear Continua
"Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
-
D.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis is a foundational textbook that rigorously presents the theory and application of finite element techniques for solving linear static and dynamic problems in engineering and applied sciences.
-
E.
finite element method
The finite element method is a numerical technique for solving complex engineering and physical problems by approximating solutions over discretized domains, widely used in structural analysis, heat transfer, fluid dynamics, and related fields.
- F. None of above.
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d8d386df84819092355ebb260d848e |
completed | April 10, 2026, 10:40 a.m. |
| NER | Named-entity recognition | batch_69e5338e6e188190a41a4ee12c1ad330 |
completed | April 19, 2026, 7:57 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0491719490819090c39b4ca8973077 |
completed | May 13, 2026, 2:57 p.m. |
| NEDg | Description generation | batch_6a0492b3bb048190af9b28f3a1d89d7b |
completed | May 13, 2026, 3:03 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a049393db308190be7428a534c83ff9 |
completed | May 13, 2026, 3:07 p.m. |
Created at: April 10, 2026, 11:37 a.m.