A finite element method for surface diffusion: the parametric case
E Bänsch, P Morin, RH Nochetto - Journal of Computational Physics, 2005 - Elsevier
… In this paper, we consider the reduced purely geometric model … surfaces or natural boundary
conditions for which integration by … Space adaptivity: accurate description of a surface with …
conditions for which integration by … Space adaptivity: accurate description of a surface with …
Finite elements on evolving surfaces
G Dziuk, CM Elliott - IMA journal of numerical analysis, 2007 - academic.oup.com
… define a new evolving surface finite-element method for numerically … geometry necessary
to describe the problem and numerical … We then obtain using integration by parts (2.2) and the …
to describe the problem and numerical … We then obtain using integration by parts (2.2) and the …
The extended/generalized finite element method: an overview of the method and its applications
TP Fries, T Belytschko - … journal for numerical methods in …, 2010 - Wiley Online Library
… interface description is done in the real element geometry. For … We also note that the integration
of singular integrands is … [162], the integration on a crack surface with contact is discussed…
of singular integrands is … [162], the integration on a crack surface with contact is discussed…
An adaptive stabilized trace finite element method for surface PDEs
… avoids integration … overview of the motivation and the main results follow. At this point, we
will omit certain technical details regarding the geometrical consistency of the adaptive method…
will omit certain technical details regarding the geometrical consistency of the adaptive method…
[PDF][PDF] Trace finite element method for material surface flows
A Zhiliakov - 2022 - uh-ir.tdl.org
… The map Ψ gives a Lagrangian description of the surface flow: a particle initially … the
geometrical evolution of the surface is known, ie, φ is prescribed and hence uN and all the geometric …
geometrical evolution of the surface is known, ie, φ is prescribed and hence uN and all the geometric …
[BOOK][B] The finite element method: basic concepts and applications
DW Pepper, JC Heinrich - 2005 - books.google.com
… the finite volume method, which is integrated), the governing equations in the finite element
method are integrated over each finite element … that allows us to describe the geometry of our …
method are integrated over each finite element … that allows us to describe the geometry of our …
An adaptive octree finite element method for PDEs posed on surfaces
AY Chernyshenko, MA Olshanskii - … Methods in Applied Mechanics and …, 2015 - Elsevier
… for the trace finite element method in H 1 and L 2 surface norms … order approximation of
curved geometries. It appears that the … , a problem of integration of finite element functions over Γ …
curved geometries. It appears that the … , a problem of integration of finite element functions over Γ …
Multilevel reconstruction of visual surfaces: variational principles and finite-element representations
D Terzopoulos - Multiresolution image processing and analysis, 1984 - Springer
… the three-dimensional geometry of visible surfaces in a scene from … background of the finite
element method and the iterative … surface approximation problem has been posed in integral …
element method and the iterative … surface approximation problem has been posed in integral …
A mixed quasi-trace surface finite element method for the Laplace-Beltrami problem
A Demlow - arXiv preprint arXiv:2309.12209, 2023 - arxiv.org
… surface geometry and the mesh. In Section 3 we describe our finite element spaces and
method… In the first we defined all forms (integrals) needed in the method on the discrete surface Γ …
method… In the first we defined all forms (integrals) needed in the method on the discrete surface Γ …
Numerical integration over implicitly defined domains for higher order unfitted finite element methods
MA Olshanskii, D Safin - Lobachevskii Journal of Mathematics, 2016 - Springer
… To define finite element methods, we need a formulation of the surface … with the finite element
interpolation and geometric error to … Reusken, “A trace finite element method for a class of …
interpolation and geometric error to … Reusken, “A trace finite element method for a class of …