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This talk will present a method for achieving arbitrarily high orders of accuracy when approximating PDE-based moving boundary problems using finite element (and related) methods on moving computational meshes. Its effectiveness will be demonstrated on a nonlinear diffusion problem for which the boundary velocity is only defined implicitly as part of the PDE problem. In this situation high-order approximations can be achieved for both the movement of the boundary and the update of the evolving solution on the moving mesh. | This talk will present a method for achieving arbitrarily high orders of accuracy when approximating PDE-based moving boundary problems using finite element (and related) methods on moving computational meshes. Its effectiveness will be demonstrated on a nonlinear diffusion problem for which the boundary velocity is only defined implicitly as part of the PDE problem. In this situation high-order approximations can be achieved for both the movement of the boundary and the update of the evolving solution on the moving mesh. | ||
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== Video == | == Video == | ||
{{#evt:service=cloudfront|id=257262|alignment=center|filename=142.mp4}} | {{#evt:service=cloudfront|id=257262|alignment=center|filename=142.mp4}} | ||
Latest revision as of 10:38, 8 June 2021
Summary
This talk will present a method for achieving arbitrarily high orders of accuracy when approximating PDE-based moving boundary problems using finite element (and related) methods on moving computational meshes. Its effectiveness will be demonstrated on a nonlinear diffusion problem for which the boundary velocity is only defined implicitly as part of the PDE problem. In this situation high-order approximations can be achieved for both the movement of the boundary and the update of the evolving solution on the moving mesh.
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Published on 08/06/21
Accepted on 08/06/21
Submitted on 08/06/21
Volume CT08 - Mesh and Model Adaptivity, 2021
DOI: 10.23967/admos.2021.059
Licence: CC BY-NC-SA license
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