63 citations · 69 across the 5 of their papers we have counts for
6 papers · 1 filter
Discontinuous Galerkin Isogeometric Analysis for segmentations generating overlapping regions
Christoph Hofer, Ioannis Toulopoulos
In the Isogeometric Analysis (IGA) framework, the computational domain has very often a multipatch representation. The multipatch domain can be obtained by a volume segmentation of…
Discontinuous Galerkin Isogeometric Analysis on Non-matching Segmentation: Error Estimates and Efficient Solvers
Christoph Hofer, Ulrich Langer, Ioannis Toulopoulos
The Isogeometric Analysis (IgA) of boundary value problems in complex domains often requires a decomposition of the computational domain into patches such that each of which can be…
Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps
Christoph Hofer, Ulrich Langer, Ioannis Toulopoulos
We propose a new discontinuous Galerkin Isogeometric Analysis (IgA) technique for the numerical solution of elliptic diffusion problems in computational domains decomposed into vol…
Mesh Grading in Isogeometric Analysis
Ulrich Langer, Angelos Mantzaflaris, Stephen E. Moore +1
This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuo…
Multipatch Discontinuous Galerkin Isogeometric Analysis
Ulrich Langer, Angelos Mantzaflaris, Stephen E. Moore +1
Isogeometric analysis (IgA) uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical appl…
Analysis of Multipatch Discontinuous Galerkin IgA Approximations to Elliptic Boundary Value Problems
Ulrich Langer, Ioannis Toulopoulos
In this work, we study the approximation properties of multi-patch dG-IgA methods, that apply the multipatch Isogeometric Analysis (IgA) discretization concept and the discontinuou…