Local discontinuous Galerkin method for parabolic interface problems

DOI10.1007/S10255-015-0479-ZzbMath1319.65101OpenAlexW868028527MaRDI QIDQ2355362

Zhi-juan Zhang, Xi-Jun Yu

Publication date: 22 July 2015

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-015-0479-z

zbMATH Keywords

stabilityerror estimatesnumerical experimentparabolic interface problemminimal dissipation local discontinuous Galerkin method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

Linearly implicit BDF methods for nonlinear parabolic interface problems ⋮ A partially penalty immersed Crouzeix-Raviart finite element method for interface problems ⋮ Approximation of quasilinear hyperbolic problems with discontinuous coefficients: an optimal error estimate ⋮ Local discontinuous Galerkin methods for parabolic interface problems with homogeneous and non-homogeneous jump conditions ⋮ Linearized four-step implicit scheme for nonlinear parabolic interface problems ⋮ Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions ⋮ Convergence of a second-order linearized BDF-IPDG for nonlinear parabolic equations with discontinuous coefficients ⋮ Fully discrete least-squares spectral element method for parabolic interface problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local discontinuous Galerkin methods for nonlinear dispersive equations
• A finite element method for interface problems in domains with smooth boundaries and interfaces
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Finite element methods and their convergence for elliptic and parabolic interface problems
• Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
• An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Raytcho Lazarov - 60
• A Local Discontinuous Galerkin Method for KdV Type Equations
• A mortar element method for elliptic problems with discontinuous coefficients
• Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients

This page was built for publication: Local discontinuous Galerkin method for parabolic interface problems