Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

415
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
415
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

811
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
811
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

82
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...
82
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

1.1K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
1.1K
Areas Within Irregular Boundaries01:26

Areas Within Irregular Boundaries

65
Calculating areas within irregular boundaries, such as along rivers or curved roads, is crucial in various fields, including surveying, engineering, and environmental management. Surveyors often begin by creating a traverse, a connected series of straight lines approximating the area's boundary. The coordinates of each traverse point are essential for calculating the enclosed area. The double meridian distance formula is a widely used technique for this purpose. This method utilizes the...
65
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

154
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
154

You might also read

Related Articles

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

Sort by
Same author

Uncertainty Quantification for <i>In Silico</i> Chemistry.

Chemical reviews·2026
Same author

A multifidelity Monte Carlo approach for simulating the diffusion coefficient of water. I. Forward problem.

The Journal of chemical physics·2026
Same author

Quantum Cluster Equilibrium Theory for Multicomponent Liquids.

Journal of chemical theory and computation·2024
Same author

Uncertainty quantification of phase transition quantities from cluster weighting calculations.

The Journal of chemical physics·2022
Same author

Space-time shape uncertainties in the forward and inverse problem of electrocardiography.

International journal for numerical methods in biomedical engineering·2021
Same journal

Computational modeling of immersed non-spherical bodies in viscous flows to study embolus-hemodynamics interactions in large-vessel occlusion stroke.

Engineering with computers·2026
Same journal

IGANets: Isogeometric analysis networks and their applications to linear structural analysis problems.

Engineering with computers·2026
Same journal

Parameterized shape optimization of a bi-leaflet heart valved conduit for pediatric applications.

Engineering with computers·2026
Same journal

A computational framework to predict the spreading of Alzheimer's disease.

Engineering with computers·2026
Same journal

Implicit sub-stepping scheme for critical state soil models.

Engineering with computers·2026
Same journal

Isogeometric suitable coupling methods for partitioned multiphysics simulation with application to fluid-structure interaction.

Engineering with computers·2026
See all related articles

Related Experiment Video

Updated: Jun 5, 2025

Scattering And Absorption of Light in Planetary Regoliths
11:34

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

10.3K

Solving acoustic scattering problems by the isogeometric boundary element method.

Jürgen Dölz1, Helmut Harbrecht2, Michael Multerer3

  • 1Institute for Numerical Simulation, University of Bonn, Friedrich-Hirzebruch-Allee 7, 53115 Bonn, Germany.

Engineering with Computers
|December 6, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a novel isogeometric boundary integral equation method to efficiently solve acoustic scattering problems. The new approach avoids spurious modes and offers a frequency-stable algorithm with linear scaling for improved computational performance.

Keywords:
Boundary integral equationHelmholtz equationIsogeometric analysisScattering problem

More Related Videos

Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
10:21

Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces

Published on: July 26, 2016

11.7K
Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

3.8K

Related Experiment Videos

Last Updated: Jun 5, 2025

Scattering And Absorption of Light in Planetary Regoliths
11:34

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

10.3K
Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
10:21

Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces

Published on: July 26, 2016

11.7K
Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

3.8K

Area of Science:

  • Acoustics
  • Computational Mathematics
  • Numerical Analysis

Background:

  • Acoustic scattering problems are crucial in various fields.
  • Traditional methods often face challenges with spurious modes and computational complexity.
  • Boundary integral equation methods offer an alternative but require efficient numerical techniques.

Purpose of the Study:

  • To develop an efficient and accurate numerical method for solving acoustic scattering problems.
  • To address the issues of spurious modes and computational cost associated with existing methods.
  • To present a frequency-stable algorithm with near-linear scaling.

Main Methods:

  • Isogeometric boundary integral equation method.
  • Combined field integral equations for sound-hard and sound-soft scatterers.
  • Galerkin's method for discretization, enabling regularization of hypersingular operators.
  • Isogeometric embedded fast multipole method to avoid dense matrices.
  • Fast multipole method for accelerating potential evaluation.

Main Results:

  • The proposed method effectively solves acoustic scattering problems.
  • Spurious modes are successfully avoided through the use of combined field integral equations.
  • The algorithm exhibits frequency stability.
  • The method demonstrates near-linear scaling with respect to degrees of freedom and potential points.
  • Numerical experiments confirm the feasibility and performance of the approach.

Conclusions:

  • The isogeometric boundary integral equation method provides an efficient and accurate solution for acoustic scattering.
  • The integration of fast multipole methods significantly enhances computational performance.
  • The developed algorithm is robust, frequency-stable, and scalable for complex problems.