Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T05:37:03.152551Z
Paper Citation Record · LEDGER
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators
As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.22206.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved26
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1df18c4a-23e8-4f44-adb5-1689a59bdad9 · outbound
This paper cites An r-adaptive finite element method using neural networks for parametric self- adjoint elliptic problem.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators An r-adaptive finite element method using neural networks for parametric self- adjoint elliptic problem
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:36:59.714269Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a50e6fcd-52d6-404b-b003-60559d641b2b · outbound
This paper cites Shape and topology optimization.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Shape and topology optimization
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:36:59.843981Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2e1e32b-3015-4b7d-ad7b-6df7c4bb781b · outbound
This paper cites Unified form language: A domain-specific language for weak formulations of partial differential equations.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Unified form language: A domain-specific language for weak formulations of partial differential equations
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:00.019734Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 367dd7fa-6305-407b-8663-85abc1b4babb · outbound
This paper cites An Adaptive Conservative Moving Mesh Method.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators An Adaptive Conservative Moving Mesh Method
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:00.247468Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e91b8ca3-4688-4023-a275-cf78461e12ed · outbound
This paper cites Computationally Efficient R-Adaptive Graded Meshes Over Non-Convex Domains.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Computationally Efficient R-Adaptive Graded Meshes Over Non-Convex Domains
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:00.358161Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87c9f70e-e772-4bc2-9804-c71eb3e2a082 · outbound
This paper cites The Dune framework: Basic concepts and recent developments.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators The Dune framework: Basic concepts and recent developments
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:00.550945Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b8242cd-3cf6-4d04-b103-faa28a3fd035 · outbound
This paper cites Adaptive finite element methods.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Adaptive finite element methods
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:00.677243Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea5dcd74-6d5a-4f26-a9f8-e9e2e51e0b24 · outbound
This paper cites an unresolved cited work.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Unresolved cited work
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:00.798918Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 828fa097-e330-4699-b218-b4ab259b575e · outbound
This paper cites Adaptivity with moving grids.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Adaptivity with moving grids
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:00.921723Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c273427-564c-465c-97ca-c9f163f4e6f4 · outbound
This paper cites Convergence and optimality of hp-AFEM.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Convergence and optimality of hp-AFEM
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:01.130026Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c839946-4163-4a3e-82b4-47ea7286a3d2 · outbound
This paper cites A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:01.302013Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5bb3f91b-9cef-4994-bcb6-743bd5a28da8 · outbound
This paper cites Approaches for generating moving adaptive meshes: location versus velocity.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Approaches for generating moving adaptive meshes: location versus velocity
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:01.414644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 058641ae-f30f-4b8e-8f0b-732f65452605 · outbound
This paper cites A novel W 1,∞ approach to shape optimisation with Lipschitz domains.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators A novel W 1,∞ approach to shape optimisation with Lipschitz domains
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:01.600010Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4402746-c009-4b5c-ac75-f7914452a4e2 · outbound
This paper cites PDE-constrained shape optimization with first- order and Newton-type methods in the W 1,∞ topology.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators PDE-constrained shape optimization with first- order and Newton-type methods in the W 1,∞ topology
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:01.763566Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e29d08b-47fd-48e4-a62c-9032d480fd83 · outbound
This paper cites Convergence of a steepest descent algorithm in shape optimisation using W 1,∞ functions.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Convergence of a steepest descent algorithm in shape optimisation using W 1,∞ functions
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:01.832590Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9537e20-b961-45e2-9a6d-d9f0edd4bfb8 · outbound
This paper cites The Dune Python Module.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators The Dune Python Module
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:01.978211Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f52dd4f-a441-4980-a3a1-3edacd01a417 · outbound
This paper cites Dedner, M.
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.107624Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45bcc1a3-c3cb-4942-9be4-40cb63c5a49f · outbound
This paper cites An $rp$-adaptive method for accurate resolution of shock-dominated viscous flow based on implicit shock tracking.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators An $rp$-adaptive method for accurate resolution of shock-dominated viscous flow based on implicit shock tracking
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.228102Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8d67403-8c80-47ba-a808-30a0e4e716ee · outbound
This paper cites A formula for membrane mediated point particle interactions on near spherical biomembranes.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators A formula for membrane mediated point particle interactions on near spherical biomembranes
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.333896Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2305d097-67da-436f-8c6d-7c3d11460e17 · outbound
This paper cites On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.444014Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09bd5e06-b54f-4d16-beb1-59d7d63e00d0 · outbound
This paper cites Huang and R.
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.559583Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0241ddbc-e68c-4cdf-8091-5970bead3bcb · outbound
This paper cites Higher-order moving mesh methods for PDE- constrained shape optimization.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Higher-order moving mesh methods for PDE- constrained shape optimization
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.666756Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c78b28c-ac21-4e94-b067-b9356f1e6c49 · outbound
This paper cites an unresolved cited work.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Unresolved cited work
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.778373Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f3e413b-4cff-4df8-846c-0f8109a8fc4c · outbound
This paper cites A Moving Mesh Method for One- dimensional Hyperbolic Conservation Laws.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators A Moving Mesh Method for One- dimensional Hyperbolic Conservation Laws
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:02.922724Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f98b9039-06cc-496d-89ab-19116f402000 · outbound
This paper cites r-refinement for evolutionary PDEs with finite elements or finite differences.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators r-refinement for evolutionary PDEs with finite elements or finite differences
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:03.046130Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94de207c-2f17-43f9-a761-4c484c847d5d · outbound
This paper cites Towards universal mesh movement networks.
Shape optimisation for adaptive $r$-refinement: the one-dimensional case with residual based error estimators Towards universal mesh movement networks
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T05:37:03.152551Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.