scientific article

zbMath1242.65181MaRDI QIDQ3224712

Champike Attanayake, Deepthika Senaratne

Publication date: 2 April 2012

Full work available at URL: http://www.m-hikari.com/ams/ams-2011/ams-1-4-2011/index.html

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zbMATH Keywords

convergenceGalerkin methodfinite elementssemidiscretizationoptimal error estimatesparabolic problemsemilinear parabolic problemoptimal error estimateimmersed interfacesemilinear

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Semilinear parabolic equations (35K58)

Related Items (18)

Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions ⋮ Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions ⋮ A two-grid immersed finite element method with the Crank-Nicolson time scheme for semilinear parabolic interface problems ⋮ Alternating direction ghost-fluid methods for solving the heat equation with interfaces ⋮ Linear and bilinear immersed finite elements for planar elasticity interface problems ⋮ The mass-preserving solution-flux scheme for multi-layer interface parabolic equations ⋮ A simple weak formulation for solving two-dimensional diffusion equation with local reaction on the interface ⋮ A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems ⋮ A matched Peaceman-Rachford ADI method for solving parabolic interface problems ⋮ Fully discrete least-squares spectral element method for parabolic interface problems ⋮ Finite element method for a class of parabolic integro-differential equations with interfaces ⋮ Optimal order error estimates of a modified nonconforming rotated \(Q_1\) IFEM for interface problems ⋮ Immersed finite element method and its analysis for parabolic optimal control problems with interfaces ⋮ A family of two-grid partially penalized immersed finite element methods for semi-linear parabolic interface problems ⋮ A multigrid based finite difference method for solving parabolic interface problem ⋮ Optimal error bounds for partially penalized immersed finite element methods for parabolic interface problems ⋮ Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems ⋮ A matched alternating direction implicit (ADI) method for solving the heat equation with interfaces

Uses Software

• IIMPACK

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