Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions

DOI10.1002/num.22446OpenAlexW2990019814WikidataQ126661787 ScholiaQ126661787MaRDI QIDQ6071669

Bhupen Deka, Papri Roy

Publication date: 28 November 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22446

zbMATH Keywords

interfaceoptimal error estimatesweak Galerkin methodpulsed electric field

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (2)

A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes ⋮ Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients

Cites Work

• Unnamed Item
• Spectroscopic imaging of a dilute cell suspension
• A symmetric and consistent immersed finite element method for interface problems
• Optimal a priori estimates for higher order finite elements for elliptic interface problems
• Optimal convergence analysis of an immersed interface finite element method
• Local discontinuous Galerkin methods for parabolic interface problems with homogeneous and non-homogeneous jump conditions
• A new weak Galerkin finite element method for elliptic interface problems
• A relaxed weak Galerkin method for elliptic interface problems with low regularity
• A systematic study on weak Galerkin finite element methods for second order elliptic problems
• An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
• A weak Galerkin finite element method for second-order elliptic problems
• A nonconforming immersed finite element method for elliptic interface problems
• Robust and local optimal a priori error estimates for interface problems with low regularity: mixed finite element approximations
• Well-posedness of an electric interface model and its finite element approximation
• Identification of conductivity and permittivity in a pulsed electric field model
• On higher regularity for the Westervelt equation with strong nonlinear damping
• Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
• Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
• A weak Galerkin mixed finite element method for second order elliptic problems
• Weak Galerkin Finite Element Methods on Polytopal Meshes
• Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions
• An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
• A group of immersed finite-element spaces for elliptic interface problems
• A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction
• A posteriori error estimates for finite element approximations to the wave equation with discontinuous coefficients
• Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
• Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients
• L^∞(L²) and L^∞(H¹) norms error estimates in finite element methods for electric interface model

This page was built for publication: Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions