1 citations · 2 across the 7 of their papers we have counts for
7 papers
Adaptively-refinable polar-spline discrete differential forms: hierarchical construction, exactness, and applications
Diogo C. Cabanas, Deepesh Toshniwal, Rafael Vazquez
A common approach to representing disk-like and sphere-like geometries in isogeometric analysis is to use collapsed-edge singularities in the underlying parameterization. The resul…
Tree-cotree gauging for two-dimensional hierarchical splines
Melina Merkel, Rafael Vázquez
In magnetostatics and eddy current problems, formulated in terms of the magnetic vector potential, the solution is not unique, because the addition of an irrotational function to t…
Adaptive refinement in defeaturing problems via an equilibrated flux a posteriori error estimator
Annalisa Buffa, Denise Grappein, Rafael Vázquez
An adaptive refinement strategy, based on an equilibrated flux a posteriori error estimator, is proposed in the context of defeaturing problems. Defeaturing consists of removing fe…
Construction of exact refinements for the two-dimensional hierarchical B-spline de Rham complex
Diogo C. Cabanas, Kendrick M. Shepherd, Deepesh Toshniwal +1
The de Rham complex arises naturally when studying problems in electromagnetism and fluid mechanics. Stable numerical methods to solve these problems can be obtained by using a dis…
An equilibrated flux a posteriori error estimator for defeaturing problems
Annalisa Buffa, Ondine Chanon, Denise Grappein +2
An a posteriori error estimator based on an equilibrated flux reconstruction is proposed for defeaturing problems in the context of finite element discretizations. Defeaturing cons…
Adaptive analysis-aware defeaturing: the case of Neumann boundary conditions
Annalisa Buffa, Ondine Chanon, Rafael Vázquez
Removing geometrical details from a complex domain is a classical operation in computer aided design. This procedure simplifies the meshing process, and it enables faster simulatio…
An a posteriori error estimator for isogeometric analysis on trimmed geometries
Annalisa Buffa, Ondine Chanon, Rafael Vázquez
Trimming consists of cutting away parts of a geometric domain, without reconstructing a global parametrization (meshing). It is a widely used operation in computer aided design, wh…