Dataset Information

The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis.

ABSTRACT: A reference implementation of a new method in isogeometric analysis (IGA) is presented. It delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA conventionally requires to be computed by element-scale quadrature. To generate surrogate matrices, quadrature must only be performed on a fraction of the elements in the computational domain. In this way, quadrature determines only a subset of the entries in the final matrix. The remaining matrix entries are computed by a simple B-spline interpolation procedure. We present the modifications and extensions required for a reference implementation in the open-source IGA software library GeoPDEs. The exposition is fashioned to help facilitate similar modifications in other contemporary software libraries.•The surrogate matrix methodology is implemented in GeoPDEs.•Poisson's problem is considered.•The matrix assembly time is significantly reduced at negligible cost to solution accuracy.

SUBMITTER: Drzisga D

PROVIDER: S-EPMC7113627 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature

ACCESS DATA

Publications

The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis.

Drzisga Daniel D Keith Brendan B Wohlmuth Barbara B

MethodsX 20200220

A reference implementation of a new method in isogeometric analysis (IGA) is presented. It delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA conventionally requires to be computed by element-scale quadrature. To generate surrogate matrices, quadrature must only be performed on a fraction of the elements in the computational domain. In this way, quadrature determines only a subset of the entries in the final matrix. The remaining matrix entries are computed by ...[more]

PMID: 32257835

Similar Datasets

Project description:AudienceThis low-cost priapism reduction task trainer is designed to instruct emergency medicine (EM) resident physicians.IntroductionPriapism is a true urologic emergency that EM physicians must be able to diagnose and treat in order to prevent significant tissue damage and loss of erectile function. Given the nature of the condition, priapism treatment is often both physically invasive and psychologically upsetting. Simulation allows learners to practice invasive or rare procedures in a safe and educational environment. At present, there are few inexpensive and easily created task trainers for priapism reduction. Our goal was to create an inexpensive, reusable task trainer that allows learners to practice the skills needed for priapism reduction.Educational objectivesBy the end of this educational session, learners should be able to 1) Verbalize the difference between low-flow and high-flow priapism 2) Describe the landmarks for a penile ring block and cavernosal aspiration/injection 3) Demonstrate the appropriate technique for performing a penile ring block, cavernosal aspiration, and cavernosal injection.Educational methodsUsing inexpensive and commonly found materials, we were able to successfully create a partial task trainer for teaching priapism reduction techniques including administering local anesthesia, medication injection, and realistic cavernosal aspiration with simulated blood return. As part of a standard EM residency didactics curriculum, this task trainer has been used to teach post graduate year (PGY) 1-4 resident learners. After an introductory didactic session, participants were given the opportunity for hands-on skills-based practice using the simulated task trainer.Research methodsLearners were asked to complete a post-session survey to assess the educational value of the station and the task trainer.ResultsWe were able to successfully create a low cost, easy to build partial task trainer for priapism reduction that allowed learners to perform local anesthesia, medication injections, and corporal aspiration. Twenty-five residents (ten PGY-1, five PGY-2, five PGY-3, five PGY-4) participated in a single didactic session and completed a post-session survey. The majority (68%, N=17) of participants had never previously treated a patient with priapism. On average, participants rated their comfort managing a patient with priapism before the session to be 1.76 on a 5-point Likert-scale (where 1=not at all comfortable and 5=extremely comfortable). Following the session, participants' comfort increased to 3.76 on the same scale. Participants rated the usefulness of the priapism model for teaching priapism reduction techniques to be 4.64 on a 5- point scale (where 1=not at all useful and 5=extremely useful).DiscussionUsing inexpensive and commonly found materials, we were able to successfully create a partial task trainer for teaching priapism reduction techniques including local anesthesia, medication injection, and cavernosal aspiration. Learners reported that the educational session greatly increased their confidence in caring for patients presenting with priapism. Additionally, they found the priapism model to be extremely helpful for teaching reduction techniques. Our model was successful in teaching a procedure that providers may encounter in clinical practice yet most resident learners had not yet had the opportunity to perform in training.TopicsPenile anesthesia, priapism reduction, urologic emergencies.

Dataset Information

The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis.

Publications

The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis.

Similar Datasets

OmicsDI is part of the ELIXIR infrastructure

Tweets