32 citations · 57 across the 5 of their papers we have counts for
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Energy conservative isogeometric techniques for the wave equation
Andrea Bressan, Annalisa Buffa, Alen Kushova +1
We analyze the wave equation in mixed form, with periodic and/or Dirichlet homogeneous boundary conditions, and nonconstant coefficients that depend on the spatial variable. For th…
High order geometric methods with splines: an analysis of discrete Hodge--star operators
Bernard Kapidani, Rafael Vázquez
A new kind of spline geometric method approach is presented. Its main ingredient is the use of well established spline spaces forming a discrete de Rham complex to construct a prim…
BPX Preconditioners for Isogeometric Analysis Using (Truncated) Hierarchical B-splines
Cesare Bracco, Durkbin Cho, Carlotta Giannelli +1
We present the construction of additive multilevel preconditioners, also known as BPX preconditioners, for the solution of the linear system arising in isogeometric adaptive scheme…
Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach
Luca Coradello, Pablo Antolin, Rafael Vázquez +1
The focus of this work is on the development of an error-driven isogeometric framework, capable of automatically performing an adaptive simulation in the context of second- and fou…
BPX preconditioners for isogeometric analysis using analysis-suitable T-splines
Durkbin Cho, Rafael Vázquez
We propose and analyze optimal additive multilevel solvers for isogeometric discretizations of scalar elliptic problems for locally refined T-meshes. Applying the refinement strate…