Augmented coupling interface method for solving eigenvalue problems with sign-changed coefficients

DOI10.1016/j.jcp.2010.09.001zbMath1203.65239OpenAlexW2058308259MaRDI QIDQ608828

Sumit K. Garg

Publication date: 26 November 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/238927/-1/81.pdf

zbMATH Keywords

numerical examplespopulation dynamicseigenvalue problemsfinite difference discretizationcoupling interface methodsign-changed coefficients

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

EJIIM for the stationary Schrödinger equations with delta potential wells ⋮ Accurate gradient approximation for complex interface problems in 3D by an improved coupling interface method

Uses Software

• IIMPACK

Cites Work

• Unnamed Item
• A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions
• The effects of spatial heterogeneity in population dynamics
• Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
• Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems
• Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
• Numerical analysis of blood flow in the heart
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• Finite element methods and their convergence for elliptic and parabolic interface problems
• Regularization techniques for numerical approximation of PDEs with singularities
• New Cartesian grid methods for interface problems using the finite element formulation
• Numerical approximations of singular source terms in differential equations
• A coupling interface method for elliptic interface problems
• High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
• Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
• The immersed boundary method
• Diffusive logistic equations with indefinite weights: population models in disrupted environments
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• New Formulations for Interface Problems in Polar Coordinates
• A Jump Condition Capturing Finite Difference Scheme for Elliptic Interface Problems
• A mortar element method for elliptic problems with discontinuous coefficients
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
• The Immersed Interface Method

This page was built for publication: Augmented coupling interface method for solving eigenvalue problems with sign-changed coefficients