Immersed boundary method: the existence of approximate solution of the two-dimensional heat equation

DOI10.1016/J.NONRWA.2006.11.006zbMath1187.35183OpenAlexW2133943311MaRDI QIDQ924590

Ling Rao, Hong-Quan Chen

Publication date: 16 May 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.11.006

zbMATH Keywords

heat equationfinite element methodapproximate solutionimmersed boundary method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications of functional analysis to differential and integral equations (46N20)

Cites Work

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• Functional analysis in modern applied mathematics
• An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
• Incompressible flows in elastic domains: an immersed boundary method approach

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