Harmonic averages, exact difference schemes and local Green's functions in variable coefficient PDE problems

DOI10.2478/s11533-013-0257-1zbMath1273.65107OpenAlexW2017046010MaRDI QIDQ360330

Owe Axelsson, János Karátson

Publication date: 26 August 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/5321/1/harmonic_average_revised_pdfa.pdf

zbMATH Keywords

singular perturbationerror estimatesmethod of characteristicstransport equationsvariable coefficientsDarcy flowconvection-reaction equationexact difference schemesharmonic averageslocal Green's functionsPetrov-Galerkin finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80) First-order hyperbolic equations (35L02)

Related Items (1)

Exact schemes for second-order linear differential equations in self-adjoint cases

Cites Work

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• Multiscale simulations of porous media flows in flow-based coordinate system
• A combined method of local Green's functions and central difference method for singularly perturbed convection-diffusion problems.
• The local Green’s function method in singularly perturbed convection-diffusion problems
• Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
• High order methods for elliptic partial differential equations with singularities
• High accuracy finite difference approximation to solutions of elliptic partial differential equations
• Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
• Stability and Error Estimates of Galerkin Finite Element Approximations for Convection—Diffusion Equations
• Exact Difference Schemes for Time-dependent Problems

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