{"title":"Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime","authors":"Yuan Wang, Sander Rhebergen","doi":"10.1093/imanum/draf013","DOIUrl":null,"url":null,"abstract":"We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-dependent advection-diffusion equation. We prove stability of the discretization in the advection-dominated regime by using weighted test functions and derive a priori space-time error estimates. Numerical examples illustrate the theoretical results.","PeriodicalId":56295,"journal":{"name":"IMA Journal of Numerical Analysis","volume":"31 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IMA Journal of Numerical Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/imanum/draf013","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-dependent advection-diffusion equation. We prove stability of the discretization in the advection-dominated regime by using weighted test functions and derive a priori space-time error estimates. Numerical examples illustrate the theoretical results.
期刊介绍：
The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects. Occasional survey articles are also published.
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