L∞(L2) and L∞(H1) norms error estimates in finite element methods for electric interface model

DOI10.1080/00036811.2019.1643010zbMath1468.65139OpenAlexW2961917193MaRDI QIDQ5858442

Bhupen Deka, Jogen Dutta

Publication date: 13 April 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1643010

zbMATH Keywords

finite element methoddiscontinuous coefficientsoptimal error estimatessemidiscrete schemefully discrete schemeelectric interface

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Biological applications of optics and electromagnetic theory (78A70) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell biology (92C37) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (2)

Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions ⋮ Optimal a priori error estimates for the finite element approximation of dual-phase-lag bio heat model in heterogeneous medium

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• On higher regularity for the Westervelt equation with strong nonlinear damping
• and Norms Error Estimates in Finite Element Method for Linear Parabolic Interface Problems
• Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions

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