Frontiers in Mortar Methods for Isogeometric Analysis

by   Christian Hesch, et al.

Complex geometries as common in industrial applications consist of multiple patches, if spline based parametrizations are used. The requirements for the generation of analysis-suitable models are increasing dramatically since isogeometric analysis is directly based on the spline parametrization and nowadays used for the calculation of higher-order partial differential equations. The computational, or more general, the engineering analysis necessitates suitable coupling techniques between the different patches. Mortar methods have been successfully applied for coupling of patches and for contact mechanics in recent years to resolve the arising issues within the interface. We present here current achievements in the design of mortar technologies in isogeometric analysis within the Priority Program SPP 1748, Reliable Simulation Techniques in Solid Mechanics. Development of Non-standard Discretisation Methods, Mechanical and Mathematical Analysis.


page 9

page 17

page 20

page 22

page 27

page 32

page 35

page 40


Computational framework for monolithic coupling for thin fluid flow in contact interfaces

We develop a computational framework for simulating thin fluid flow in n...

Analysis-suitable T-splines: characterization, refineability, and approximation

We establish several fundamental properties of analysis-suitable T-splin...

Eighty Years of the Finite Element Method: Birth, Evolution, and Future

This year marks the eightieth anniversary of the invention of the finite...

A quasi-robust discretization error estimate for discontinuous Galerkin Isogeometric Analysis

Isogeometric Analysis is a spline-based discretization method to partial...

Polyhedral Spline Finite Elements

Spline functions have long been used in numerically solving differential...

Hybrid high-order methods. A primer with application to solid mechanics

This book is organized into eight chapters. The first three gently intro...