62 citations · 150 across the 21 of their papers we have counts for
22 papers
An adaptive Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) method for multi-patch structured Kirchhoff--Love plates
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present a novel adaptive isogeometric method for solving the Kirchhoff-Love plate problem for plates whose mid-surface is defined by a planar multi-patch domain with possibly ex…
An Isogeometric Tearing and Interconnecting (IETI) method for solving high order partial differential equations over planar multi-patch geometries
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present a novel method for solving high-order partial differential equations (PDEs) over planar multi-patch geometries demonstrated on the basis of the polyharmonic equation of…
Isogeometric collocation with smooth mixed degree splines over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present a novel isogeometric collocation method for solving the Poisson's and the biharmonic equation over planar bilinearly parameterized multi-patch geometries. The proposed a…
A C^s-smooth mixed degree and regularity isogeometric spline space over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We construct over a given bilinear multi-patch domain a novel -smooth mixed degree and regularity isogeometric spline space, which possesses the degree and regularity…
Isogeometric collocation for solving the biharmonic equation over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present an isogeometric collocation method for solving the biharmonic equation over planar bilinearly parameterized multi-patch domains. The developed approach is based on the u…
A locally based construction of analysis-suitable multi-patch spline surfaces
Andrea Farahat, Mario Kapl, Aljaž Kosmač +1
Analysis-suitable (AS-) multi-patch spline surfaces [4] are particular -smooth multi-patch spline surfaces, which are needed to ensure the construction of -smo…
-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements
Jan Grošelj, Mario Kapl, Marjeta Knez +2
Splines over triangulations and splines over quadrangulations (tensor product splines) are two common ways to extend bivariate polynomials to splines. However, combination of both…
Isogeometric analysis for multi-patch structured Kirchhoff-Love shells
Andrea Farahat, Hugo M. Verhelst, Josef Kiendl +1
We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertic…
Adaptive isogeometric methods with (truncated) hierarchical splines on planar multi-patch domains
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines for the numerical solution of high order partial differential equations. However, the ten…
isogeometric spline space for trilinearly parameterized multi-patch volumes
Mario Kapl, Vito Vitrih
We study the space of isogeometric spline functions defined on trilinearly parameterized multi-patch volumes. Amongst others, we present a general framework for the design of…
-smooth isogeometric spline spaces over planar multi-patch parameterizations
Mario Kapl, Vito Vitrih
The design of globally -smooth () isogeometric spline spaces over multi-patch geometries is a current and challenging topic of research in the framework of isogeomet…
A family of quadrilateral finite elements
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
We present a novel family of quadrilateral finite elements, which define global spaces over a general quadrilateral mesh with vertices of arbitrary valency. The element…
A super-smooth spline space over planar mixed triangle and quadrilateral meshes
Jan Grošelj, Mario Kapl, Marjeta Knez +2
In this paper we introduce a spline space over mixed meshes composed of triangles and quadrilaterals, suitable for FEM-based or isogeometric analysis. In this context, a mesh…
Isogeometric collocation on planar multi-patch domains
Mario Kapl, Vito Vitrih
We present an isogeometric framework based on collocation to construct a -smooth approximation of the solution of the Poisson's equation over planar bilinearly parameterized m…
Isogeometric analysis with hierarchical functions on planar two-patch geometries
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Adaptive isogeometric methods for the solution of partial differential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain t…
Isogeometric analysis with functions on unstructured quadrilateral meshes
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
In the context of isogeometric analysis, globally isogeometric spaces over unstructured quadrilateral meshes allow the direct solution of fourth order partial differential eq…
Solving the triharmonic equation over multi-patch domains using isogeometric analysis
Mario Kapl, Vito Vitrih
We present a framework for solving the triharmonic equation over bilinearly parameterized planar multi-patch domains by means of isogeometric analysis. Our approach is based on the…
The Argyris isogeometric space on unstructured multi-patch planar domains
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
Multi-patch spline parametrizations are used in geometric design and isogeometric analysis to represent complex domains. We deal with a particular class of planar multi-patch…
Dimension and basis construction for -smooth isogeometric spline spaces over bilinear-like two-patch parameterizations
Mario Kapl, Vito Vitrih
A particular class of planar two-patch geometries, called bilinear-like two-patch geometries, is introduced. This class includes the subclass of all bilinear two-patch para…
Construction of analysis-suitable planar multi-patch parameterizations
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
Isogeometric analysis allows to define shape functions of global continuity (or of higher continuity) over multi-patch geometries. The construction of such -smooth i…
Space of -smooth geometrically continuous isogeometric functions on planar multi-patch geometries: Dimension and numerical experiments
Mario Kapl, Vito Vitrih
We study the space of -smooth isogeometric functions on bilinearly parameterized multi-patch domains , where the graph of each isogeometric function…
Dimension and basis construction for analysis-suitable two-patch parameterizations
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
We study the dimension and construct a basis for -smooth isogeometric function spaces over two-patch domains. In this context, an isogeometric function is a function defined o…