Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Region of Convergence of Laplace Tarnsform

Region of Convergence of Laplace Tarnsform

The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...

Boundary Conditions: Lossless Lines

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...

Region of Convergence

Region of Convergence

The z-transform is a powerful mathematical tool used in the analysis of discrete-time signals and systems. It is a crucial tool in the analysis of discrete-time systems, but its convergence is limited to specific values of the complex variable z. This range of values, known as the Region of Convergence (ROC), is fundamental in determining the behavior and stability of a system or signal. The ROC defines the region in the complex plane where the z-transform converges, which can take various...

Divergence and Stokes' Theorems

Divergence and Stokes' Theorems

The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Impact of angiographic valve expansion on the hemodynamic outcome in valve-in-valve transcatheter aortic valve replacement.

Clinical research in cardiology : official journal of the German Cardiac Society·2026

Same author

TESS 2.0-Adaptation of the German Version of the Toronto Extremity Salvage Score: Addition of an Item Regarding the Use of a Touchscreen and Keyboard in the Upper Extremity Questionnaire.

Journal of clinical medicine·2026

Same author

Atomically resolved edges and defects in lead halide perovskites.

Nature·2025

Same author

Investigating the convergence properties of iterative ptychography for atomic-resolution low-dose imaging.

Ultramicroscopy·2025

Same author

Improving the low-dose performance of aberration correction in single sideband ptychography.

Ultramicroscopy·2025

Same author

Is Rotationplasty Still a Reasonable Reconstruction Option for Patients With a Femoral Bone Sarcoma? A Comparative Study of Patients With a Minimum of 20 Years of Follow-up After Rotationplasty and Lower Extremity Amputation.

Clinical orthopaedics and related research·2025

Search research articles

Related Experiment Video

Updated: Oct 20, 2025

A Method for 3D Reconstruction and Virtual Reality Analysis of Glial and Neuronal Cells

A Method for 3D Reconstruction and Virtual Reality Analysis of Glial and Neuronal Cells

Published on: September 28, 2019

Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions.

Christoph Hofer¹, Ioannis Toulopoulos^2,3

¹Institute of Computational Mathematics, Johannes Kepler University (JKU), Linz, Austria.

Applicable Analysis

|September 17, 2021

Summary

A new Discontinuous Galerkin Isogeometric Analysis (DG-IGA) method handles multipatch domains with overlapping regions. This approach accurately connects interface fluxes, providing theoretical error bounds for improved computational accuracy.

Keywords:

65M12 65M15 Elliptic diffusion problems consistency error discontinuous Galerkin methods heterogeneous diffusion coefficients isogeometric analysis non-matching parametrized interfaces overlapping patches

More Related Videos

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

Published on: August 13, 2014

Volume Segmentation and Analysis of Biological Materials Using SuRVoS Super-region Volume Segmentation Workbench

Volume Segmentation and Analysis of Biological Materials Using SuRVoS Super-region Volume Segmentation Workbench

Published on: August 23, 2017

Related Experiment Videos

Last Updated: Oct 20, 2025

A Method for 3D Reconstruction and Virtual Reality Analysis of Glial and Neuronal Cells

A Method for 3D Reconstruction and Virtual Reality Analysis of Glial and Neuronal Cells

Published on: September 28, 2019

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

Published on: August 13, 2014

Volume Segmentation and Analysis of Biological Materials Using SuRVoS Super-region Volume Segmentation Workbench

Volume Segmentation and Analysis of Biological Materials Using SuRVoS Super-region Volume Segmentation Workbench

Published on: August 23, 2017

Area of Science:

Computational mathematics
Numerical analysis
Computer-aided design (CAD) integration

Background:

Multipatch representations are common in Isogeometric Analysis (IGA).
Gaps and overlaps often occur at patch interfaces in these representations.
Existing IGA methods may struggle with such interface complexities.

Purpose of the Study:

To develop a Discontinuous Galerkin (DG)-IGA method for multipatch domains with overlapping regions.
To provide a robust numerical technique applicable to CAD-derived geometries.
To theoretically analyze and bound the errors introduced by the method.

Main Methods:

Development of a DG-IGA formulation tailored for overlapping multipatch domains.
A novel approach to connect fluxes across overlapping patch interfaces.
Error decomposition into consistency and approximation error components.
Theoretical error estimation and bounding.

Main Results:

The proposed DG-IGA method effectively handles overlapping regions between patches.
Theoretical bounds for both consistency and approximation errors were derived.
Numerical examples validated the theoretical error estimates.

Conclusions:

The DG-IGA method offers a viable solution for analyzing complex multipatch geometries in IGA.
The theoretical framework provides confidence in the method's accuracy and convergence properties.
This work facilitates the direct application of IGA to complex CAD models.