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Chris Budd, University of Bath
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Weizhang Huang, The University of Kansas
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Jens Lang, TU Darmstadt
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Simona Perotto, Politecnico of Milano
About:
A major bottleneck in current scientific computing practice is the difficulty of resolving small scale structures without excessive computational cost. Adaptive mesh methods afford the possibility of achieving much better resolution, and thus of providing much more accurate predictions, in an efficient manner. Adaptive mesh movement and anisotropic mesh adaptation have emerged as areas of intense research in mesh adaptation in the last decade.
The aim of this workshop was to bring together scientists from the fields of mathematics, scientific computing, physics, engineering, and meteorology to discuss the latest advances in adaptive moving and anisotropic meshes and their applications to real-life problems. Participants included both senior and young researchers to allow vigorous discussion and collaboration that will advance the state-of-the-art in these challenging and emerging areas.
The organisers intended for this workshop to bring a better theoretical understanding of the convergence and stability of moving mesh and anisotropic mesh adaptation methods, which will aid future work in their design. In addition there will be a clearer understanding of their computational complexity and effectiveness when solving very large problems (for example three dimensional problems in gas or fluid dynamics), particularly when using parallel methods. This will allow a better implementation of these methods for challenging practical problems and in new application areas.
Programme
MONDAY 09 MAY 2022 | ||
Lunch and Registration | All times are British Summertime. | |
Welcome | Housekeeping by Simon Kershaw, Conference Coordinator, ICMS | |
John MacKenzie, University of Strathclyde | Adaptive moving mesh methods for computational cell biology | |
Vit Dolejsi, Charles University, Prague | An anisotropic hp-mesh adaptation method for time-dependent problems based on the interpolation error control | |
Andrea Cangiani, SISSA | Adaptive non-hierarchical Galerkin methods for parabolic problems: moving mesh and virtual element methods | |
Discussions | ||
Informal Welcome Reception | Welcome Reception at ICMS until 18.00 | |
TUESDAY 10 MAY 2022 | ||
Chris Budd, University of Bath | Optimal transport methods for mesh adaption | |
Nicola Ferro, Politecnico di Milano | Anisotropic mesh adaptation for topology optimization: from theory to practice | |
Refreshment Break | ||
Charles Dapogny, CNRS & Laboratoire Jean Kuntzmann | A level set based mesh evolution method for shape optimization | |
Thierry Coupez, CEMEF - Mines Paris | Immersed method with metric based anisotropic meh adaptation for computational multiphase flow dynamics | |
Lunch Break | Lunch served at ICMS | |
Ron Haynes, Memorial University (ONLINE) | Towards Adaptive Parallel Solvers for PDEs on Surfaces | |
Weizhang Huang, University of Kansas (ONLINE) | A surface moving mesh PDE method | |
Refreshment Break | ||
Discussions | Discussions will end around 17.30. Short break before Public Lecture | |
Chris Budd , University of Bath | Computing: past, present and future' (Public Lecture) | |
WEDNESDAY 11 MAY 2022 | ||
Simone Appella, University of Bath | r-adaptivity, deep learning and the deep Ritz method | |
Paul Zegeling, Utrecht University | Adaptive moving grids for space-fractional PDEs | |
Refreshment Break | ||
Andrew McRae, University of Oxford | Optimal transport meshes on the sphere, and coupling moving meshes to fluid equations | |
Discussions | ||
Lunch Break | Lunch served at ICMS | |
Visit to James Clerk Maxwell Foundation (India Street) | Optional visit to birthplace of James Clerk Maxwell for workshop participants (finishing around 15.45) | |
THURSDAY 12 MAY 2022 | ||
Natalia Kopteva, University of Limerick | Convergence behaviour and a posteriori error estimation for finite element approximations on anisotropic meshes | |
Kaloyan Kirilov, Imperial College London | Mesh adaptation for high-order flow simulations | |
Refreshment Break | ||
Joseph Wallwork, Imperial College London (ONLINE) | Accelerating Mesh Adaptation using Neural Networks |
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Discussions | ||
Lunch Break | Lunch served at ICMS | |
Jean-Francois Remacle, UC Louvain | X-MESH : An eXtreme Mesh deformation method to follow sharp physical interfaces | |
Marco Picasso, EPFL | Anisotropic, adaptive finite elements for academic and industrial problems | |
Refreshment Break | ||
Panel discussion (HYBRID) | Panel discussion on the big open problems (ending 16.45) | |
Workshop Dinner | Workshop Dinner at ICMS until 20.30 | |
FRIDAY 13 MAY 2022 | ||
Suzanne Shontz , University of Kansas | Optimization-Based Approaches for High-Order Mesh Generation and Warping | |
Matthew Hubbard, University of Nottingham | Adaptive Moving Meshes for Hyperbolic PDEs | |
Refreshment Break | ||
Discussions | ||
End of Workshop | Packed lunch available for participants to eat here, or take with them |