An immersed interface method for Pennes bioheat transfer equation

DOI10.3934/DCDSB.2015.20.323zbMath1307.65161OpenAlexW2312813598MaRDI QIDQ487350

So-Hsiang Chou, Champike Attanayake

Publication date: 20 January 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.323

zbMATH Keywords

numerical exampleserror analysissuperconvergenceimmersed interface methodPennes bioheat transfer equationdiscontinuous coefficientimmersed finite element methodflux recovery

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (1)

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Cites Work

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• An immersed linear finite element method with interface flux capturing recovery
• The immersed interface method using a finite element formulation
• New Cartesian grid methods for interface problems using the finite element formulation
• Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems
• ConservativeP1 Conforming and Nonconforming Galerkin FEMs: Effective Flux Evaluation via a Nonmixed Method Approach
• An immersed finite element space and its approximation capability
• Galerkin Finite Element Methods for Parabolic Problems

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