An augmented method for 4th order PDEs with discontinuous coefficients

DOI10.1007/s10915-017-0487-7zbMath1381.65088OpenAlexW2641187186WikidataQ47036943 ScholiaQ47036943MaRDI QIDQ1691407

Fangfang Qin, Zhilin Li

Publication date: 16 January 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0487-7

zbMATH Keywords

finite difference methodSchur complementnumerical experimentfast Poisson solverdiscontinuous coefficientaugmented immersed interface method4th-order PDEnatural jump conditions

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Higher-order elliptic equations (35J30)

Related Items (3)

A Nitsche extended finite element method for the biharmonic interface problem ⋮ A Nitsche mixed extended finite element method for the biharmonic interface problem ⋮ A generalized finite difference method for solving biharmonic interface problems

Uses Software

• IIMPACK

Cites Work

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• The Immersed Interface Method

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