An Adaptive in Space, Stabilized Finite Element Method via Residual Minimization for Linear and Nonlinear Unsteady Advection–Diffusion–Reaction Equations

An Adaptive in Space, Stabilized Finite Element Method via Residual Minimization for Linear and Nonlinear Unsteady Advection–Diffusion–Reaction Equations

We construct a stabilized finite element method for linear and nonlinear unsteady advection–diffusion–reaction equations using the method of lines. We propose a residual minimization strategy that uses an ad-hoc modified discrete system that couples a time-marching schema and a semi-discrete discont...

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Bibliographic Details
Main Authors: Juan F. Giraldo, Victor M. Calo
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematical and Computational Applications
Subjects:
residual minimization
unsteady advection–diffusion equations
discontinuous Galerkin
implicit time-marching schemes
adaptive mesh refinement
Online Access:https://www.mdpi.com/2297-8747/28/1/7

Internet

https://www.mdpi.com/2297-8747/28/1/7

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